Day 1 Date __________________ 1) Estimate by rounding to the ten thousands place: 367,985 – 124,090 = ________________ Reminder: When rounding – look at the number to the right of the place you are rounding to. If the number to the right is 4 or below, keep the number the same. If the number is 5 or above, round up. 2) Jane was paid $316 for 40 hours of work. Use compatible numbers to find about how much Jane earned per hour. _______________ Compatible numbers are numbers that work well together; think about basic facts. 3) Carl is moving, and he has 512 DVDs that he needs to pack. If he can fit 20 DVDs in each box, how many boxes will he need? _______________ *************************************************************************************************** Day 2 Date __________________ 1) Kara and her sister bought 5 pair of jeans for $28 each. About how much did they spend altogether? _______________ 2) Jared has to drive 472 miles, and wants to complete his drive in 8 hours. Use compatible numbers to estimate the number of miles he needs to drive each hour. _______________ Find the exact number of miles he needs to drive each hour. _______________ Was your estimate reasonable? _______________ 1 Day 3 Date __________________ 1) Mia read 708 pages in 12 weeks. Use compatible numbers to estimate the number of pages she read each week. _______________ Find the exact number of pages she read each week. _______________ Was your estimate reasonable? _______________ 2) Write 83 in expanded form. _______________ Find the value of 83 . _______________ Reminder: When using exponents, multiply the base (in this case 8) times ITSELF the number of times the exponent indicates (3). **************************************************************************************************** Day 4 Date __________________ 1) Write 4 • 4 • 4 • 4 • 4 in exponential form. Find the value of 4 • 4 • 4 • 4 • 4 . 2) Compare, using <, >, = 53 3) Evaluate: 19 + 23 • 4 _______________ _______________ 35 _______________ _______________ Reminder: Follow the order of operations: Parentheses Exponents Multiply/Divide (left to right) Add/Subtract (left to right) 2 Day 5 1) Find the value of 101 . Date __________________ _______________ 2) To go on their class trip, the 6th grade teachers had to schedule busses. Each bus seats 54 students, and there are 299 people going on the trip. How many busses do they need to schedule? _______________ 3) Evaluate: 4 + 32 • 7 _______________ **************************************************************************************************** Day 6 Date __________________ 1) Find the value of 200 . _______________ 2) Evaluate: 9 + (8 – 2) • 22 _______________ 3) Use the Commutative Property to complete the equation: 24 + 9 = __________ + __________ 3 Day 7 1) Evaluate: Date __________________ 21 ÷ (12 – 9) + 42 _______________ 2) Use the Associative Property to complete the equation: 2.1 + (5.0 + 3.9) = ( ________ + ________ ) + ________ 3) Use the Distributive Property to complete the equation: 3 (y + 7) = __________ + __________ ************************************************************************************************************** Day 8 Date __________________ 1) Complete the expression: 6 • 35 = (6 • _____ ) + ( 6 • _____ ) What property is used here? ______________________________________________________________ 2) Evaluate: 9 + 8 – 2 • 22 _______________ 3) Paul bought 6 DVDs for $8.99 each. Use compatible numbers to find about how much Paul spent. _______________ Find exactly how much Paul spent. _______________ Was your estimate reasonable? _______________ 4 Day 9 1) This is an example of which property: 17 + 8 = 8 + 17 Date __________________ ___________________________________ How do you know? _______________________________________________________________________ _____________________________________________________________________________________________ 2) Complete the expression: 4 • 72 = (4 • _____ ) + ( 4 • _____ ) What property is used here? _______________________________________________________________ 3) Mrs. James wanted to divide her class into 5 groups, but she had 28 students, so she couldn’t have five equal groups. If she divides the class as evenly as possible, how many students will be in each of the 5 groups? Group 1 _______________ Group 2 ______________ Group 3 ______________ Group 4 ______________ Group 5 ______________ **************************************************************************************************** Day 10 Date __________________ 1) Use the Commutative and Associative properties to add: 12 + 9 + 28 + 11. Show how you changed the order and how you grouped the addends: _________________________________________________________________________________________ 2) Evaluate: 54 ÷ 3 • 2 – 7 + 3 ________________ 3) James and his 4 friends bought 2 pizzas. Each pizza was cut into 8 slices. If the boys share the pizza equally, how many pieces will each boy get to eat? ________________ How many pieces will be left over? ________________ 5 Day 11 1) Compare, using <, >, = Date __________________ 0.31 0.304 Explain how you decided which number was larger. ________________________________________ ___________________________________________________________________________________________ 2) Find the value of x: x – 14 = 18 _________________ 3) This is an example of which property: (15 + 20) + 18 = 15 + (20 + 18) __________________________ How do you know? _______________________________________________________________________ _____________________________________________________________________________________________ *************************************************************************************************** Day 12 Date __________________ 1) Carl bought a hamburger for $3.29 and a soda for $1.79. About how much did he spend altogether? Find exactly how much Carl spent. Was your estimate reasonable? ________________ ________________ ________________ 2) Estimate by rounding to the ones place: 7.624 + 4.302 ________________ 3) Joni ran 3.4 miles on 4 different days. How many miles did she run in all? ________________ Reminder: To place a decimal point in the answer to a decimal multiplication problem: Count the total number of digits to the right of the decimal point in the problem. In your answer, place the decimal point so that the same number of digits are to the right of the decimal point. 6 Day 13 Date ____________________ 1) Put the numbers in order from least to greatest: 1.203, 1.1909, 1.2. __________________________________________________________ 2) Sally went to the store with $20.00. She purchased a pair of shorts for $12.59. How much money did she have left? Reminder: Line up the decimal points when adding or subtracting decimals. ________________ 3) Find the value of x: x + 22 = 57 ________________ *************************************************************************************************** Day 14 Date ___________________ 1) Jenna bought 2.8 pounds of apples, which cost $1.99 per pound. About how much did the apples cost? Find exactly how much Jenna spent. (round your answer to the nearest cent) Was your estimate reasonable? 2) Find the value of x: x – 42 = 19 3) Write an algebraic expression for “10 times a number.” ________________ ________________ ________________ ________________ _________________________________ 7 Day 15 Date ____________________ 1) Write an algebraic expression for “8 more than a number.” _____________________________________________________ 2) Peter paid $5.76 for 4 pounds of pears. What was the cost for one pound? 3) Find the value of x: 3x = 24 _______________ ________________ *************************************************************************************************** Day 16 Date ___________________ 1) Manuel bought a pair of sneakers for $38.99 and a pack of socks for $10.42 About how much did Manuel spend? Find exactly how much Manuel spent. Was your estimate reasonable? 2) Find the value of x: x – 7 = 33 ________________ ________________ ________________ ________________ 3) Write an algebraic expression for “a number divided by 12.” _______________________________ 8 Day 17 Date __________________ 1) Write an algebraic expression for “the sum of a number and 16.” ______________________________________________________ 2) Emil paid $6.55 for 5 pounds of oranges. What was the cost for one pound? ________________ 3) Find the value of 3 if x = 3. ________________ *************************************************************************************************** Day 18 Date __________________ 1) Put the numbers in order from least to greatest: 6.7, 3.006, 3.91. _______________________________________________________ 2) Find the value of 3x + 8, if x = 4. ________________ 3) Evaluate: (7 • 3) - 42 ÷ 8 ________________ Reminder: Follow the order of operations: Parentheses Exponents Multiply/Divide (left to right) Add/Subtract (left to right) 9 Day 19 Date __________________ 1) Write an algebraic expression for “the quotient of 17 and x.” ______________________________________________________ 2) Lily needs 14.5 inches of string to make one bracelet. If she wants to make 6 bracelets, how many inches of string will she need? ________________ How many feet of string is this? ________________ 3) Find the value of x ÷ 7, if x = 35. ________________ *************************************************************************************************** Day 20 Date ___________________ 1) Put the numbers in order from least to greatest: 32.01, 32.11, 3.201. _______________________________________________________ 2) Write a phrase (in words) for this expression: x – 20. _______________________________________________________ 3) Evaluate: 20 + 16 ÷ 4 - 23 ________________ 10 Day 21 Date __________________ 1) Write an algebraic expression for “the product of 5 and y.” _____________________________________________________ 2) Juan bought 2.3 pounds of candy for a total cost of $3.91. How much did the candy cost per pound? _______________ 3) Find the value of 4x ÷ 6, if x = 9. _______________ *************************************************************************************************** Day 22 Date __________________ 1) Put the numbers in order from least to greatest: 0.75, Reminder: To change a fraction to a decimal, divide the numerator By the denominator. 7 , 10 0.8. ____________________________________________________ 2) Complete the equation, using the Commutative Property: 22 • 5 = _____________ • _____________ 3) Evaluate: (20 + 16) ÷ 4 - 23 ________________ 11 Day 23 Date __________________ 1) Write a phrase for this expression: 3 (y + 4) ______________________________________________________ 2) Solve: 15 – 11.34 3) Compare, using <, >, = _______________ 1.002 1.07 ________________ *************************************************************************************************** Day 24 Date __________________ 1) Compare, using <, >, = 2.55 2 1 2 2) Complete the equation, using the Associative Property: 20 • (5 • 10) = ( __________ • __________ ) • __________ 3) Evaluate: 33 + 25 ________________ 12 Day 25 Date __________________ 1) Evaluate 5x – 12 if x = 6. _______________ 2) Solve: 16.22 • 7.4 _______________ 3) Evaluate: 14 ÷ 2 + 3 • 6 _______________ *************************************************************************************************** Day 26 Date __________________ 1) Find the Greatest Common Factor of 16 and 24. _______________ Reminder: Factors are whole numbers that are multiplied to find products. Factors of 8 are: 1, 2, 4, 8. 2) Solve: 24 – 16.23 _______________ 3) Use the Distributive Property to find the equivalent expression: 40x – 20x = 20 ( _________ - _________ ) 13 Day 27 Date __________________ 1) List all of the factors of 50. ________________________________________________________________ 17 2) Convert 100 to a decimal. _______________ 3) Carl bought 0.8 pounds of candy, and James bought 0.75 pounds. Who bought more candy? _______________ **************************************************************************************************** Day 28 Date __________________ 1) Amanda made 32 brownies and 26 cookies. She wants to divide the brownies and cookies into separate baggies for a bake sale, so that there is the same number of items in each baggie. What is the greatest number of items that she can put into the baggies? _______________ 2) Convert 0.32 to a fraction in lowest terms. _______________ Remember: a fraction is in lowest terms when the numerator and denominator can’t be divided by a common factor other than 1. 3) Find the sum: 2.346 + 32.4 _______________ 14 Day 29 Date __________________ 1 1) List 3 fractions that are equivalent to 2. _______________________________________ Reminder: To find equivalent fractions, multiply or divide the numerator and denominator by the same number. 4 5 2) Convert to a decimal. _______________ 3) How do you find half of a number? ____________________________________________________________________________________________ *************************************************************************************************** Day 30 Date __________________ 3 2 1) Kathy spent 4 of an hour studying for her test. Beth spent 3 of an hour studying. Who spent more time studying? _______________ 2) Convert 1.8 to a mixed number. _______________ 3) How do you double a number? _____________________________________________________________________________________________ 15 Day 31 Date __________________ 2 5 1) List 3 fractions that are equivalent to . ______________________________________________ 1 2) Convert 2 to a decimal. _______________ 3) How do you triple a number? ____________________________________________________________________________________________ *************************************************************************************************** Day 32 Date _________________ 1 1 1) Randy ran 3 4 miles, while Rachel ran 3 3 miles. Who ran farther? _______________ 2) How do you find one-third of a number? _____________________________________________________________________________________________ 3) Explain the Associative Property of Addition and give an example. _____________________________________________________________________________________________ _____________________________________________________________________________________________ 16 Day 33 Date __________________ 1 1 1) Jamal needs 2 of a cup of sugar to make cookies, and he has 3 of a cup. _______________ Does he have enough sugar? 1 1 2) Label 2 and 3 on the number line. 3) Use the Commutative Property to complete the equation: 1 4 + 2 5 = __________ + __________ *************************************************************************************************** Day 34 Date __________________ 2 1) Put the numbers in order from least to greatest: 1.20, 1 5, 1.051 ____________________________________________________ 2) Solve for x: 3x = 141 3) Estimate, using compatible numbers: 357 ÷ 50 = ______________ _______________ 17 Day 35 Date __________________ 3 5 1) Jenna studied for 2 hours on Monday and 14 5 hours on Tuesday. On which day did she study the most? _______________ 2) Amil went shopping with $25.00. He spent $12.73. How much did he have left? ________________ 3) Write an algebraic expression for “16 less than x.” ____________________________________________________________ *************************************************************************************************** Day 36 Date __________________ 1) Solve for y: y + 7 = 32 _______________ 4 2 2) Put the numbers in order from least to greatest: 9, 0.42, 5 __________________________________________________ 3) Find the product of 3.74 and 5.2. ________________ 18 Day 37 Date __________________ 1 5 1) Kayla bought 6 of a yard of one type of cloth and 6 of a yard of a second type of cloth. How many yards of cloth did she buy altogether? _______________ 2) Solve for m: m – 18 = 34 _______________ 3) Give an example of the Distributive Property. _____________________________________________________________________________________________ _____________________________________________________________________________________________ *************************************************************************************************** Day 38 Date __________________ 1 3 1) Jayden walked for 1 miles, while his sister walked for of a mile. How much farther did 4 4 Jayden walk? _______________ 2) Solve: 4.22 ÷ 0.2 _______________ 3) Evaluate: 17 – 2 • 3 + 16 ÷ 23 _______________ 19 Day 39 Date __________________ 1) Find the Greatest Common Factor of 40 and 49. _______________ 2) Find the difference of 13.1 and 9.76. _______________ 3) Write a phrase for this algebraic expression: 7x + 2. ______________________________________________________________ ************************************************************************************************************** Day 40 Date __________________ 1) Solve, and reduce to lowest terms: 9 10 7 − 10 21 2) Convert 25 to a decimal. _______________ _______________ 3) Explain the Commutative Property of Multiplication and give an example. _____________________________________________________________________________________________ _____________________________________________________________________________________________ 20 Day 41 Date __________________ 1) Find the Least Common Multiple of 5 and 6. _______________ Remember: The LCM is the smallest multiple that numbers have in common. Example: The LCM of 8 and 12 is 24 8: 8, 16, 24 12: 12, 24 2 6 2) Find the sum of 7 and 7 . Reduce. _______________ 3) Explain how to add and subtract fractions that have the same denominator. _____________________________________________________________________________________________ _____________________________________________________________________________________________ *************************************************************************************************** Day 42 Date __________________ 5 1) Put the numbers in order from least to greatest: 0.682, 8, 6 10 __________________________________________________________ 2) Evaluate: 7 • (4 + 3) + 62 ÷ 9 _______________ 3) Explain how to convert a fraction to a decimal. _____________________________________________________________________________________________ _____________________________________________________________________________________________ 21 Day 43 Date __________________ 1) Marla is making bracelets with different colored beads. The red beads come in packs of 8 and the purple beads come in packs of 3. Marla needs the same number of each color bead. What is the smallest number of packs of red beads that she will need to buy? What is the smallest number of packs of purple beads that she will need to buy? Red - _______________ Purple - _______________ 2) Estimate using compatible numbers: 483 ÷ 7 = _______________ *************************************************************************************************** Day 44 Date __________________ 3 1 1) Patty jogged 4 of a mile on Saturday and 2 of a mile on Monday. How far did she jog in all? ________________ 2) Estimate: 2,250 x 33 ________________ 3) How many inches are in a foot? ________________ How many feet are in a yard? ________________ Tip: to add or subtract fractions, the fractions must have the same denominator. 22 Day 45 Date __________________ 1 1) Use the number line to find the answer to 3 - 13. _______________ 4 2) Change 4 7 to an improper fraction. _______________ Tip: Use the MAD wheel to change a mixed number to an improper fraction. 3) The Identity Property of Multiplication states that: 1 x 8 = ______________________ *************************************************************************************************** Day 46 Date __________________ 1) Is 51 a prime or composite number? Explain how you know. __________________________________________________________ Tip: A prime number can only be divided by itself and one. _________________________________________________________________________________________ 3 1 2) Solve: 2 5 + 3 2 ________________ 3) How many inches are in a yard? ________________ 23 Day 47 Date __________________ 1 2 1) Use the number line to find the answer to 3 3 − 2 3. 2) Change 47 6 _______________ to a mixed number. _______________ 3) The Identity Property of Addition states that: 12 + 0 = _______________ *************************************************************************************************** Day 48 Date __________________ 1) Is 57 a prime or composite number? Explain how you know. ________________________________ ____________________________________________________________________________________________ 1 3 2) Chris read for 2 4 hours on Sunday and for 4 hours on Wed. How much more time did Chris spend reading on Sunday? _______________ 3) Solve for w: 4 =8 _______________ 24 Day 49 Date __________________ 1) Use the number line to solve: - 3 + 6 = _______________ 2) Solve for x: 1 1 x + 12 = 33 _______________ 3) Write an algebraic expression for “3 times the sum of a number and 7.” _____________________________________________________________________________________________ *************************************************************************************************** Day 50 Date __________________ 1) Use the number line to solve: 4 – 9 = _______________ 2) Solve for m: 2.6m = 8.06 _______________ 3) Solve: 5 8 ∙ 4 9 _______________ 25 Day 51 Date __________________ 1) Find the GCF of 51 and 12. 3 5 2) Solve for x: x − = 1 2 3 _______________ _______________ 3) Can the Commutative Property be used with subtraction? Give an example to support your answer. _____________________________________________________________________________________________ _____________________________________________________________________________________________ ************************************************************************************************************** Day 52 Date __________________ 1) Find the LCM of 18 and 12. 2) Janet needs 1 3 4 _______________ cups of flour to make 1 batch of cookies. How much flour will she need if she wants to make 3 batches of cookies? _______________ 5 1 1 3) Estimate: 4 6 + 2 2 + 1 8 _______________ 26 Day 53 Date __________________ 1) On the day that Harold’s Hot Dog Stand opened, Harold gave a free hot dog to every 8th customer. He also gave a free soda to every 12th customer. Which customer will be the first to get a free hot dog and a free soda? _______________ 2) Solve for x: x + 4.21 = 10.5 3) Compare, using <, >, = _______________ 3.05 1 3 20 ************************************************************************************************************** Day 54 Date __________________ 2 2 1) Use the model to show 4 ÷ 3. What is the solution to 4 ÷ 3 ? 2) Solve for x: 4.4 = 2.5 3) James bought a pair of jeans for $29.59 and a shirt for $21.25. About how much did he spend? _______________ _______________ _______________ 27 Day 55 Date __________________ 1) Evaluate: (8 + 2) • 32 - 5 • 7 _______________ 2 5 2 5 2) Use the model to show 3 ÷ . What is the solution to 3 ÷ ? 3) The temperature in the morning was - 7˚ F. The temperature rose 15 degrees by noon. What was the temperature at noon? ________________ **************************************************************************************************** Day 56 Date __________________ 1) Find x: 2 3 _______________ = 27 1 2) Shania is making bracelets that each need 7 4 inches of string. Shania has 58 inches of string. How many bracelets will she be able to make? _______________ 7 1 3) Estimate: 3 8 ∙ 2 4 _______________ 28 Day 57 Date __________________ 1) In the equation x + 12 = 30, does x = 16? Explain your answer. _____________________________________________________________________________________________ 2 2 2) Use the model to show 6 ÷ 3. What is the solution to 6 ÷ 3 ? _______________ 3) Carl says that he is 5 feet tall. His sister says he is 60 inches tall. Are these heights the same? Explain why they are or are not. _____________________________________________________________________________________________ _____________________________________________________________________________________________ *************************************************************************************************** Day 58 Date __________________ 1) Jenna is making pancakes, but she wants to cut the recipe in half. For a full recipe, she 1 would need 1 2 cups of flour. How much flour does she need for half of the recipe? _______________ 2) Write an algebraic expression for “the quotient of 108 and x.” _____________________________________________________________________________________________ 2 3) Convert 3 to a decimal. _______________ 29 Day 59 Date __________________ 1) Use the Associative Property to complete the equation; add parentheses. 432 + (128 + 22) = __________ + __________ + __________ 2) Two classes must each be divided into groups with the same number of students in each group. One class has 32 students, and the other has 28. What is the largest number of students that can be in each group? ______________ 3) Convert 0.012 to a fraction in lowest terms. ______________ *************************************************************************************************** Day 60 Date __________________ 1) Betty is buying hot dogs and buns for a picnic. Buns come in packs of 10 and hot dogs come in packs of 8. What is the smallest number of each that she will need to buy to have the same number of buns and hot dogs? How many packs of each will she need to buy? number of hot dogs and buns _______________ packs of hot dogs _______________ packs of buns 2) Solve for t: t + 6.88 = 8 _______________ _______________ 5 3 3) Put the numbers in order from least to greatest: 1 9, 1 5 , 1.5 _________________________________________________________ 30 Day 61 Date __________________ 1) List the factors of 49. 4 _________________________________________________ 3 2) Solve: 2 5 ∙ 1 4 _______________ Remember: Change mixed numbers to improper fractions BEFORE you multiply. 3) Find x: 4 9 _______________ = 45 **************************************************************************************************** Day 62 Date __________________ 1) In the equation 2 = 16, does x = 8? Explain your answer. _____________________________________ _____________________________________________________________________________________________ 2) Use the Distributive Property to complete the equation: 5y + 30 = 5 ( _____ + _____ ) 3) Mark has taken four tests so far this quarter. His grades were 88%, 95%, 80%, and 92%. What is the mean of his test scores? ________________ Tip: To find the mean (also called average) of a data set, add all of the numbers together and then divide by the number of numbers in the data set. 31 Day 63 Date __________________ 7 2 1) Solve: 8 ÷ 3 _______________ Tip: To divide fractions, keep the first fraction the same, change the sign to multiplication, and flip the second fraction. 1 2) What number is the opposite of 3 4? 3) Evaluate: _______________ 1 3 2 _______________ *************************************************************************************************** Day 64 Date __________________ 1 1) Evaluate 5x + 2y when x = 3 and y = 2. _______________ 2) Mark has taken four tests so far this quarter. His grades were 88%, 95%, 80%, and 92%. What is the median of his test scores? Tip: The median is the middle number when the data is in order from least to greatest. If there are two middle numbers, the median is the mean of those two numbers. _______________ 3) Label -2 and -5 on the number line. Which number is larger? _______________ 32 http://www.teacherspayteachers.com/Store/Middle-School-Math-Moments ©ENIXON2013 Day 65 Date __________________ 1 1) This summer, John grew 2 2 inches, so he is now 57 inches tall. Write an equation for this situation. Let h stand for John’s original height. __________________________________________ 2) Solve for w: w + 9 10 1 = 24 3) Find the sum of 45.12 and 135.6. _______________ _______________ ********************************************************* ******************************************* Day 66 Date __________________ 1) According to the line plot, how many students spent time reading? _______________ 2) Find the product of 45.2 and 3.6. _______________ 3) What number is the opposite of -4? _______________ 33 http://www.teacherspayteachers.com/Store/Middle-School-Math-Moments ©ENIXON2013 Day 67 Date __________________ 1) To go to the state park, Mary’s family had to pay $3 for the car, plus $2 for each person in the car. Write an expression that could be used to find the cost for any number of people. Let x represent the number of people in the car. _____________________________________ 2) Compare, using <, >, = -4 -9 1 3) Solve for y: 5 = 9 2 _______________ **************************************************************************************************** Day 68 Date __________________ 1) Evaluate: 53 − 43 _______________ 2) Solve: 142.71 ÷ 6.7 _______________ 3) What is the mode of the data set? _______________ Tip: The mode is the number in the data set that occurs most often. 34 http://www.teacherspayteachers.com/Store/Middle-School-Math-Moments ©ENIXON2013 Day 69 Date __________________ 1) Plot the point (4, -3) Tip: when plotting points, move across first and then up or down. 2) On the x-axis, what is the distance between -3 and 2? 3) According to the Distributive Property, 45 + 100 = 5( _____) + 5( _____) **************************************************************************************************** Day 70 Date __________________ 1) What is the mean number of hours that the students spent reading? _______________ 2) Write a phrase (in words) for this algebraic expression: 3(x + 4) ________________________________________________________________ 3) Convert 0.08 to a fraction in lowest terms. ________________ 35 http://www.teacherspayteachers.com/Store/Middle-School-Math-Moments ©ENIXON2013 Day 71 Date __________________ 1) Complete the equation using the Associative Property; add parentheses. (25 • 4) • 10 = _____ • _____ • _____ 2) What is the relationship between x and y? Write an equation to show the relationship. x 1 2 4 5 7 y 3.5 7 14 17.5 24.5 1 y = _________________ 1 3) Carmen ran 2 2 miles on Monday, Wednesday, and Friday, and 5 4 miles on Sunday. How many miles did she run in all? _______________ ************************************************************************************************** Day 72 Date __________________ 1) Estimate: 2395 ÷ 82 2) Solve for x: 12 _______________ = 11 _______________ 3) What is the range of the data set? _______________ Tip: The range is the difference between the largest and smallest numbers in the data set. 36 http://www.teacherspayteachers.com/Store/Middle-School-Math-Moments ©ENIXON2013 Day 73 1) Find x: Date __________________ 9 15 = 75 _______________ 2) Find the LCM of 14 and 8. _______________ 3) Write a ratio of circles to stars. _______________ Tip: To write a ratio, write ___ to ___, ___:___, or write it as a fraction. *************************************************************************************************** Day 74 Date __________________ 1) Solve for s: 7.6s = 31.92 _______________ 2) Find the GCF of 72 and 36. _______________ 3) Think about this ratio of circles to stars. If there were 8 circles, how many stars would there be? _______________ 37 http://www.teacherspayteachers.com/Store/Middle-School-Math-Moments ©ENIXON2013 Day 75 Date __________________ 1) According to the box plot, what is the median of the data? _______________ Tip: The median on a box plot is the middle line. 2) Janelle is making crumb cake. The recipe makes three cakes, but she only wants one, so she 1 will only use one-third of the ingredients. If the recipe calls for 1 cups of sugar, how much 2 sugar will Janelle need to make one-third of the recipe? _______________ 3) On the number line, place a point at the number that is the opposite of 2. *************************************************************************************************** Day 76 Date __________________ 1) Plot the point (-2, 3). 2) What is the distance between (-4, 5) and (3, 5)? _______________ 3) Solve for y: 4 5 =3 _______________ 38 Day 77 Date __________________ 1) When Greg went bowling, his scores were 108, 95, and 143. If he bowls a 4th game, what will his score need to be to give him an average of 112? _______________ 19 2) Convert 25 to a percent. _______________ Tip: To convert a fraction to a percent, divide the numerator by the denominator and then multiply by 100. 3) According to the box plot, what is the range of the data? _______________ *************************************************************************************************** Day 78 Date __________________ 1) Convert 0.22 to a percent. _______________ 2) Evaluate: 82 − 6 ∙ 2 + 25 _______________ 3) Explain how to find the median of a set of numbers. ____________________________________________________________________________________________ ____________________________________________________________________________________________ ____________________________________________________________________________________________ 39 http://www.teacherspayteachers.com/Store/Middle-School-Math-Moments ©ENIXON2013 Day 79 Date __________________ 1) The mean of this data set is 10. What number is missing? 12, 6, ___, 8, 10, 14 _______________ 8 2) Convert 3 9 to an improper fraction. _______________ 3) According to the box plot, what is the value of the lower (1st) quartile? _______________ Tip: The lower quartile of a box plot is the left side of the box. **************************************************************************************************** Day 80 Date __________________ 1) What decimal and what percent are equivalent to 1 2 ? decimal: _______________ percent: _______________ 2) Janelle is making crumb cake. The recipe makes three cakes, but she only wants one, so she will only use one-third of the ingredients. If the recipe calls for 2 cups of flour, how much flour will Janelle need to make one-third of the recipe? _______________ 3 3) Put the following in order from least to greatest: 0.72, 4, 70% ________________________________________________ 40 http://www.teacherspayteachers.com/Store/Middle-School-Math-Moments ©ENIXON2013 Day 81 Date __________________ 1) Mia has a cell phone plan that costs $10 a month plus $.05 for each text message she sends. Write an algebraic expression to find her total cost for any number of text messages. __________________________________________________________ 2) The range of a data set is 14. If the smallest number in the set is 24, what is the largest number? _______________ 3) Order the integers from least to greatest: -3, 7, -8, 2, -1, 0. Use the number line to help you. _____________________________________ *************************************************************************************************** Day 82 Date __________________ 1) If a 32-oz bottle of juice costs $1.92, what is the cost per ounce? _______________ 2) What is 50% of 300? _______________ 3) Use the number line to find the distance between -4 and 2. _______________ 41 http://www.teacherspayteachers.com/Store/Middle-School-Math-Moments ©ENIXON2013 Day 83 1) Estimate: Date __________________ 4 7 _______________ 55 − 18 2) Janine counted 5 rows of 6 desks in the classroom. Paul counted 6 rows of 5 desks. What property says that Janine and Paul will get the same answer? ________________________________________________________________ 3) Find the median of the data set: 9, 2, 5, 8, 9, 10, 6 _______________ *************************************************************************************************** Day 84 Date __________________ 1) Jen was keeping track of a plant’s height. She first measured it when it was 2 inches tall. The next time she measured, it had grown 1.25 inches, and the following time it had grown 0.5 inches. What was its height after the third measurement? _______________ 2) What is the relationship between x and y? Write an equation to show the relationship. x 2 3 4 5 6 y 4 9 16 25 36 y = _______________ 3) Solve for x: 0.7x = 4.34 _______________ 42 http://www.teacherspayteachers.com/Store/Middle-School-Math-Moments ©ENIXON2013 Day 85 Date __________________ 1) Kathy and Marta needed to find the answer to 5 x 4 x 3. Kathy multiplied 5 x 4 first, to get 20, and then multiplied 20 x 3. Marta decided to multiply 4 x 3 first, to get 12, and then multiplied 12 x 5. What property says that both girls will get the same answer? _________________________________________________________ 2) Compare using <, >, = 0.2 0.127 3) If a 1.5-pound bunch of bananas costs $0.84, what is the cost per pound? _______________ *************************************************************************************************** Day 86 Date __________________ 1) The median of the data set is 6. What number is missing? 1, 11, ___, 8, 13, 3 _______________ 2) Roger wanted to buy 5 items that were $33 each. In his head, he thought, “5 x $30 = $150, and 5 x $3 = $15. $150 + $15 = $165.” What property did he use to figure out his cost? _________________________________________________________ 3) Write a ratio to compare the number of plus signs to the total number of shapes. _______________ 43 http://www.teacherspayteachers.com/Store/Middle-School-Math-Moments ©ENIXON2013 Day 87 Date __________________ 1) What is the median of the data set in the line plot? 1 _______________ 2 2) Bella ran 7 miles on Tuesday and 2 miles on Friday. How much farther did she run on 2 3 Tuesday? _______________ 3) Mandy bought a shirt that was on sale. The original price was $24.50, but it was 10% off. How much did Mandy save? _______________ *************************************************************************************************** Day 88 Date __________________ 1) The mode of this data set is 11. What number is missing? 1, 11, ___, 8, 13, 3 _______________ 2) One pound of bananas costs $0.54. If June bought 2.5 pounds of bananas, how much did she spend? _______________ 3) Solve for y: y – 23 = 45 _______________ 44 http://www.teacherspayteachers.com/Store/Middle-School-Math-Moments ©ENIXON2013 Day 89 Date __________________ 1) Harry is trying to save $545 to buy a computer, and he has $253.65. How much more does he need? _______________ 2) Solve for y: y + 87 = 125 _______________ 3) Sally had lunch at Perfect Pizza and wants to leave a tip for the waitress. Her bill is $14.75, and she wants the tip to be 15% of the bill. How much will the tip be? (round to the nearest hundredth) Tip: use % 100 = _______________ *************************************************************************************************** Day 90 Date __________________ 1) Write an algebraic expression for “2 plus the quotient of a number and 5.” _________________________________________________________ 2) According to the histogram, how many students read 20 – 29 books in a year? _______________ 3) Solve: 5 9 1 ÷ 12 _______________ 45 http://www.teacherspayteachers.com/Store/Middle-School-Math-Moments ©ENIXON2013 Day 91 Date __________________ 1) What number has the prime factorization of 2 • 3 • 7 ? _______________ Tip: To find the number, multiply the prime factors. 2) In the equation 3x + 13 = 22, does x = 3? Explain your answer. ______________________________________________________________________________________________ ______________________________________________________________________________________________ 3) Solve: 200 ÷ 42 _______________ **************************************************************************************************** Day 92 Date __________________ 1) Find x: 8 25 _______________ = 150 2) According to the histogram, how many students read 30 – 39 books in a year? _______________ 3) Evaluate: 18 ÷ 3 • 2 – 4 + 52 _______________ 46 http://www.teacherspayteachers.com/Store/Middle-School-Math-Moments ©ENIXON2013 Day 93 Date __________________ 1) Evaluate 4x + 6y if x = 4 and y = 5 _______________ 2) Jenna paid $15.24 for three bracelets. What is the cost for one bracelet? _______________ 1 3) Order the numbers from least to greatest: 0.2, 3, 25% __________________________________________________________ **************************************************************************************************** Day 94 Date __________________ 1) Estimate: 812 ÷ 89 _______________ 2) Betty and Yasmin are selling crafts that they have made together. Yasmin will get 60% of the money from the sales, because she did some extra work on the crafts. If they sell $42 worth of crafts, how much money will go to Yasmin? _______________ 3) Plot the point (-4, -2). _______________ 47 Day 95 Date __________________ 1) Circle the expressions that are equal to 6.25. a) 3.15 + 3.1 b) 4.05 + 2.02 c) 5 x 1.25 d) 8.1 – 1.85 2) You have $24.00 and your brother has $20.00. You need to add your money together to buy your sister a birthday present. Which property says that you can add $24 plus $20 OR $20 plus $24, and you will still find the same total? Explain why. __________________________________________________________________________________________ __________________________________________________________________________________________ 3) Katharine was making a blanket with purple, blue, and white squares. The ratio of purple to blue squares in the blanket is 4 to 3. If Katharine includes 20 purple squares, how many blue squares will she have? ________________ *************************************************************************************************** Day 96 Date __________________ 1) Janine waters her house plants every 5 days and waters her garden every 2 days. In a 30 day period, how many times will she water them on the same day? _______________ 2) Find the prime factorization of 72. _______________ 3) What is the relationship between x and y? Write an equation to show the relationship. x 5 10 15 20 25 y 25 50 75 100 125 y = _______________ 48 http://www.teacherspayteachers.com/Store/Middle-School-Math-Moments ©ENIXON2013 Day 97 Date __________________ 1) Joe’s bill for dinner was $17.95. He decided to leave a 17% tip for the waitress. How much will his total bill be? (Round to the closest penny.) _______________ 2) Find the area of this right triangle. _______________ Tip: The formula to find the area of a triangle is ½ ∙ base ∙ height. (½bh). *************************************************************************************************** Day 98 Date __________________ 1) Use the numbers below to create two true mathematical statements. Use the number line to help you. 5 -3 -1 0 3 __________ > __________ __________ < __________ 2) Estimate: 23.8 ÷ 4.2 _______________ Find the exact answer. _______________ Was your estimate reasonable? _______________ 49 http://www.teacherspayteachers.com/Store/Middle-School-Math-Moments ©ENIXON2013 Day 99 Date __________________ 7 1) James ran 1.8 miles, Kyle ran 1 8 miles, and Frank ran 1.85 miles. Put the boys in order from the shortest distance run to the longest distance run. _______________________________________________ 2) Write an algebraic expression for the phrase “ 19 less than x squared.’” ______________________________________________________________________________________ 3) When Michael woke up in the morning, the temperature was - 3˚ F. Later that day the temperature was 10˚ F, so Michael said that the temperature had gone up 7 degrees. Is he correct? Explain why or why not. ______________________________________________________________________________________ ______________________________________________________________________________________ *************************************************************************************************** Day 100 Date __________________ 1) Karl bought 15 feet of wood for a building project. He needs to have 200 inches of wood to complete the project. Did he buy enough wood? Explain. _____________________________________________________________________________________________ 2) The points on the graph are 3 vertices of a rectangle. Plot the 4th vertex of the rectangle. Write the coordinates of that point: _______________ 50 http://www.teacherspayteachers.com/Store/Middle-School-Math-Moments ©ENIXON2013 Day 101 Date __________________ 1) The points on the graph form a triangle. Write the ordered pair for each point. A: ____________ B: ____________ C: ____________ 2) What is the perimeter of this triangle? Tip: Perimeter is the distance around the figure. ______________ 3) What is the area of the triangle? Tip: The formula to find the area of the triangle is ½bh. _______________ *************************************************************************************************** Day 102 Date __________________ 1) Beth bought a book that normally cost $25.00. It was on sale for 35% off. How much did she pay for the book? _______________ 2) Circle the expressions that are equal to 7(x + 3). a) 7x + 21 2 b) 7x + 3 c) (7 + x) + (7 + 3) d) (7 • x) + (7 • 3) 5 3) Paula needs 1 3 cups of walnuts for her banana bread recipe. She has 1 8 cups. Does she have enough walnuts? _________________________________________________________ 51 http://www.teacherspayteachers.com/Store/Middle-School-Math-Moments ©ENIXON2013 Day 103 Date __________________ 1) Rachel went shopping and spent $39.95. She had $25.25 left. Write an algebraic equation that could be used to find how much money Rachel had to start with. Let x represent the money she had to start with. _______________ 2) Is 33 prime or composite? Explain how you know. ________________________________________________________________________________________ 3) On the number line, place a point at the number that is the opposite of - 3. What is the distance between - 3 and its opposite? _______________ *************************************************************************************************** Day 104 Date __________________ 1) At the store, it costs $5 for 2 loaves of bread. What would it cost to buy 9 loaves? _______________ 2) The area of Kamryn’s garden is 450 square feet. If the length of the garden is 30 feet, what is the width of the garden? Tip: Area = length • width _______________ 3) Convert 1.70 to a percent. _______________ 52 http://www.teacherspayteachers.com/Store/Middle-School-Math-Moments ©ENIXON2013 Day 105 1) Convert Date __________________ 26 30 to a percent. Round to the tenths place. _______________ 2) If 1 inch ≈ 2.54 centimeters, how many centimeters are in 15 inches? _______________ 3) Karl has 25 feet of wood to build a fence for his bunny’s pen. Two sides will be 5.4 feet each, and the other two sides will each be 7.2 feet. Will Karl have enough wood for the whole fence? If so, how much will be left over? If not, how much will he still need? _______________ *************************************************************************************************** Day 106 Date __________________ 1) Hannah wants the area of her dog’s rectangular play area to be 300 square feet. If one side of the rectangle needs to be 12 feet long, how long will the other sides be? _______________ 2) Find the perimeter of the triangle: _______________ 3) Sally bought 6 shirts for $19.99 each. How much did she spend? _______________ 53 http://www.teacherspayteachers.com/Store/Middle-School-Math-Moments ©ENIXON2013 Day 107 Date __________________ 1) Draw lines to divide the trapezoid into four right triangles. 2) A group of friends wanted to share 56 brownies and 42 snack bags of chips. If they share these items equally, what is the greatest number of friends there can be? _______________ 3) According to the box plot, what is the value of the upper (3rd ) quartile? _______________ Tip: The upper quartile of a box plot is the right side of the box. *************************************************************************************************** Day 108 Date __________________ 1) Convert 80 9 to a mixed number. _______________ 2) Use the information in the histogram to write a ratio comparing students who spent 1-20 minutes doing homework each day to those that spent 40-59 minutes. _______________ 3) How many students are represented in the histogram? _______________ 54 http://www.teacherspayteachers.com/Store/Middle-School-Math-Moments ©ENIXON2013 Day 109 Date __________________ 1) Kelly bought 3 kiwi. The price of kiwi is 5 for $4.00. How much will she pay for the 3 kiwi? _______________ 2) Find the area of the rectangle. _______________ 3) 8 of the students in Ms. Penny’s class play an instrument. These 8 students make up 25% of the class. How many students are in the class? Tip: use % 100 = _______________ *************************************************************************************************** Day 110 Date __________________ 1) In fruit salad, the ratio of cups of strawberries to cups of blueberries is 2 to 1. How many cups of blueberries would there need to be for 10 cups of strawberries? 6 Cups of Strawberries Cups of Blueberries 2 1 _______________ 5 2) Estimate: 15 11 − 3 6 _______________ 3) Circle the expressions that are equal to 10.58 a) 5.29 • 2 b) 13.28 – 3.7 c) 8.22 + 2.36 d) 2(2.645) + 5.29 55 http://www.teacherspayteachers.com/Store/Middle-School-Math-Moments ©ENIXON2013 Day 111 Date __________________ 1) Evaluate: 34 + (42 • 7) ÷ 8 _______________ 2) Find the perimeter of the figure on the coordinate plane. _______________ __ 3) Find the area of the figure on the coordinate plane. _______________ *************************************************************************************************** Day 112 Date __________________ 1) Order the decimals from least to greatest: 1.203; 1.2; 1.1758; 1.23 ________________________________________________________________________ 2) Solve for x: 9 = 17 _______________ 3) Susie and her mom went out for lunch. They agreed that her mom would pay for the meal and Susie would pay for the tip. The meal cost $24.90 and Susie left a 19% tip. How much did Susie pay? (Round to the nearest cent.) _______________ 56 http://www.teacherspayteachers.com/Store/Middle-School-Math-Moments ©ENIXON2013 Day 113 Date __________________ 1) Find the value of x: 10 15 = _______________ 45 2) Use the distributive property to find the equivalent expression: 5(2 + x) = _______ + _______ 3) Estimate: 39.676 ÷ 5.2 _______________ Find the exact answer. _______________ Was your estimate reasonable? _______________ *************************************************************************************************** Day 114 Date __________________ 1) Paul goes swimming every 6th day, running every 4th day, and biking every 5th day. What is the first day that he’ll do all three? _______________ 2) In the equation 4 + 9 = 14, does x = 20? Explain your answer. ____________________________________________________________________________________________ 3) Find the mean of the data set: 8, 2, 10, 12, 18, 12, 9, 15 _______________ 57 http://www.teacherspayteachers.com/Store/Middle-School-Math-Moments ©ENIXON2013 Day 115 Date __________________ 1) Jen had four tests last month. Her scores were 82, 90, 87, and 84. What is the median of her scores? _______________ 2) Find the prime factorization of 144. _______________ 3) What fraction of the students read for less than 3 hours? _______________ *************************************************************************************************** Day 116 Date __________________ 1) Evaluate 2 ÷ 2b, if a = 8 and b = 2. 2) Compare, using <, >, = 64 _______________ 46 3) Use the positive and negative integers to create two true mathematical statements. Use the number line to help you. -2 5 1 -4 __________ > __________ __________ < __________ 58 http://www.teacherspayteachers.com/Store/Middle-School-Math-Moments ©ENIXON2013 Day 117 Date __________________ 1) Karen is using string to decorate a rectangular frame for a picture. The length of the frame is 11 inches and the width is 8 inches. Karen needs string that is twice as long as the perimeter of the frame. How many inches of string does she need? _______________ What is this measurement in feet and inches? _______________ 2) A 4-pound bag of apples costs $4.12. What is the cost per pound? _______________ *************************************************************************************************** Day 118 Date __________________ 1) Write a phrase (in words) for this algebraic expression: 3∙ 9 _________________________________________________________________________________________ 2) What is the distance between points A and B on the coordinate plane? _______________ 3) On the coordinate plane, plot a point that will create an isosceles triangle. Write the point’s coordinates on the line. ________________ 59 http://www.teacherspayteachers.com/Store/Middle-School-Math-Moments ©ENIXON2013 Day 119 Date __________________ 1 1) Joanie has 4 3 cups of sugar. She wants to make as many batches of brownies as she can, for 2 1 a bake sale. If she needs 3 of a cup for one batch, how many batches can she make with 4 3 cups of sugar? _______________ 2) On the number line, graph x ≥ -1 Tip: To graph an inequality, draw a circle at the starting number. If the inequality is < or >, do not color the circle. If it is ≤ or ≥, color the circle. Then draw an arrow on the line to show what part of the line is < or > than the number. *************************************************************************************************** Day 120 Date __________________ 1) Five students from room 426 had their height measured at the nurse on Monday. Their heights were: 60 in, 54 in, 57 in, 61 in, and 58 inches. What is the mean height of these students? _______________ What is this measurement in feet and inches? _______________ 2) Identify the hypotenuse in this right triangle (side a, b, or c). Which side is longest, a, b, or c? 3 _______________ _______________ 3 3) Use the model to show 4 ÷ 4. What is the solution to 4 ÷ 4 ? _______________ 60 Day 121 Date __________________ 1) If 1 yard ≈ 0.9144 meters, how many meters are in 7 yards? _______________ 2) Evaluate: 81 ÷ 32 • (22 – 9) _______________ 3) Jeremy is making a wooden frame for a picture that his mother painted. The length will be 18 inches and the width will be 12 inches. How much wood does Jeremy need to buy to make the frame? _______________ How many feet is this? _______________ *************************************************************************************************** Day 122 Date __________________ 1 1) Holly watched a movie that was 3 4 hours long on Saturday, and she watched a movie that was 1 11 12 hours long on Sunday. How much longer was the movie on Saturday? Answer in fraction form: _______________ What is this equal to in hours and minutes? _______________ 2) Use the distributive property to find the equivalent expression: 11(x + 6) = __________ + __________ 3) In trail mix, the ratio of cups of banana chips to cups of cashews is 3 to 2. How many cups of cashews are there if there are 12 cups of banana chips? Banana chips 3 Cashews 2 _______________ 61 http://www.teacherspayteachers.com/Store/Middle-School-Math-Moments ©ENIXON2013 Day 123 Date __________________ 1) Find the volume of the rectangular prism. _______________ Tip: Volume is the number of cubic units (cubes) that will fill a space. 2) Hector bought a fishing rod for $45.99. He had to pay 6% sales tax on the price of the rod. How much will the sales tax be? (Round to the nearest cent.) _______________ 3) On the number line, graph x ≤ 0. *************************************************************************************************** Day 124 Date __________________ 1) Herbert’s mom is making punch for a party. In the punch recipe, there are 2 cups of ginger ale for every 3 cups of fruit punch. If Herbert’s mom wants to make 20 cups of punch, how many cups of fruit punch does she need? Ginger ale 2 Fruit punch 3 _______________ Total cups 2) Use an integer to represent 5 degrees below zero. _______________ 3) Find the perimeter of the triangle. _______________ 62 http://www.teacherspayteachers.com/Store/Middle-School-Math-Moments ©ENIXON2013 Day 125 Date __________________ 1) Randy has completed the problem 8,360 ÷ 44 and found that the answer is 19. Is he correct? Explain why you agree or disagree with his answer. _____________________________________________________________________________________________ _____________________________________________________________________________________________ 2) Jill and Frank needed to find the answer to 25 x 4 x 5. Jill multiplied 25 x 4 first, to get 100, and then multiplied 100 x 5. Frank multiplied 4 x 5 first, to get 20, and then multiplied 25 x 20. What property says they will get the same answer? Explain what this property means. _____________________________________________________________________________________________ _____________________________________________________________________________________________ 3) Estimate, using compatible numbers: 628 ÷ 71. _______________ *************************************************************************************************** Day 126 Date __________________ 1) Find the volume of the rectangular prism. Each cube in the prism has a side length of ½ inch. _______________ 2) Find the absolute value: −7 . Use the number line to help you. Tip: To find absolute value, find the distance between the number and zero. 5 1 3) Solve: 2 6 ÷ 1 3 _______________ _______________ 63 http://www.teacherspayteachers.com/Store/Middle-School-Math-Moments ©ENIXON2013 Day 127 Date __________________ 1) Judy and Janie were figuring out how many cupcakes would fit in a cupcake holder. Judy counted 3 rows of 4 and Janie counted 4 rows of 3. What property says that they will both get the answer of 12? Explain what this property means. _____________________________________________________________________________________________ _____________________________________________________________________________________________ 2) James has 4 yards of fishing line for his fishing pole. How many inches is this? _______________ 3) Tammi is trying to find the area of her room, which is diagrammed here. What is the area? _______________ *************************************************************************************************** Day 128 Date __________________ 1) When Johnny looked at the thermometer, he saw that the temperature was colder than -10˚F. Write a temperature that is colder than -10˚ F. Explain your choice. _____________________________________________________________________________________________ 2) Find the absolute value: 8 _______________ 1 3 3) Joe designed a pen for his sister’s bunny to play in. The length was 22 2 meters long and 6 5 meters wide. What was the area of the pen? _______________ 64 http://www.teacherspayteachers.com/Store/Middle-School-Math-Moments ©ENIXON2013 Day 129 1) In the equation Date __________________ 15 + 7 = 11, does x = 60? Explain your answer. _____________________________________________________________________________________________ 2) Find the absolute value: −4 ______________ 3) Philip is putting up border on his bedroom walls. Two walls are 13 feet, and two walls are 10 feet. How many feet of border does Philip need so that he can put border at the top of each wall? _______________ What is this measurement in yards and feet? _______________ *************************************************************************************************** Day 130 Date __________________ 1) The expression x + 0.06x can be used to find the total cost for an item that is purchased and has a 6% sales tax. Use the expression to find the total cost of an item that is $32.00 ________________ 2) On the number line, graph x > -2 3) Frank is getting a new rug to cover part of his bedroom. The rug will cover an area of 143 square feet. If the rug is 13 feet long, how wide is it? _______________ 65 http://www.teacherspayteachers.com/Store/Middle-School-Math-Moments ©ENIXON2013 Day 131 Date __________________ 1) Sammi bought 4 new movies on DVD for $22.98 each. How much did she spend? _______________ 2) Solve for y: 5.2y = 31.72 3) Find the value of 1 3 . 3 _______________ _______________ *************************************************************************************************** Day 132 Date __________________ 1) Marla bought 0.75 pounds of chicken at the store. If the chicken cost $3.20 per pound, how much did Marla pay for 0.75 pounds? _______________ 2) Is 49 prime or composite? Explain your choice. _____________________________________________________________________________________________ 3) Label -3 and - 1 on the number line. Compare, using < or >. _______________ 66 http://www.teacherspayteachers.com/Store/Middle-School-Math-Moments ©ENIXON2013 Day 133 Date __________________ 4 1 1) The area of a rectangular plot is 10 square acres. If one side of the plot is 2 acre, what is the length of the other side? _______________ 2) Circle the expressions that are equal to 12(x + 7). a) 12x + 7 b) 12x + 84 c) (12 • x) + (12 • 7) d) (12 + x) + (12 + 7) 3) Anthony bought pizzas for $18.75. He had to pay 9% tax as part of his bill. How much was the tax on the pizza ? (Round to the nearest cent.) _______________ *************************************************************************************************** Day 134 Date __________________ 1) Tammi is trying to find the perimeter of her room, so that she can put border around the tops of the walls. What is the perimeter of her room, as diagrammed below? _______________ 3 1 2) Solve: 1 4 ÷ 2. _______________ 3) Find the value of 0.44 . _______________ 67 http://www.teacherspayteachers.com/Store/Middle-School-Math-Moments ©ENIXON2013 Day 135 Date __________________ 1) George’s family is building a rectangular pool. They want the area of the pool to be 480 square feet. What are possible lengths and widths for the pool? Use the chart to record 3 possibilities. Length Width Area 480 sq ft 480 sq ft 480 sq ft Which length and width do you think would make the best pool? _________________________ 2) The expression t + 0.09t can be used to find the total cost for an item that is purchased and has a 9% sales tax. Use the expression to find the total cost of an item that is $67.00 _______________ 3) Find the absolute value: 25 _______________ *************************************************************************************************** Day 136 Date __________________ 1) Find the mode of the data set: 15, 18, 12, 20, 9 _______________ 2) Laura was learning to make flower arrangements. In one arrangement, the ratio of carnations to daisies is 5 to 3. If the arrangement has 25 carnations, how many daisies should it have? Carnations 5 Daisies 3 _______________ 3) Find the prime factorization of 32. _______________ 68 http://www.teacherspayteachers.com/Store/Middle-School-Math-Moments ©ENIXON2013 Day 137 Date __________________ 1) Round to the tenths place and then add: 18.854 + 11.101. ______________ 2) Dave has a triangular section of his room that he wants to cover with carpet. The triangular s section is in the corner of the room, so it is a right triangle. One side of the triangle is 3 feet and the other is 1.5 feet. What is the area of this space? _______________ Tip: The formula to find the area of the triangle is ½bh 3 4 3) Carrie has to keep track of how much her dog eats each week. Last week, he ate 6 cups of 1 food. This week he ate 7 3 cups? How much more food did the dog eat this week? _______________ ************************************************************************************************************** Day 138 Date __________________ 1) Jen had four tests last month. Her scores were 82, 90, 87, and 84. What is the range of her scores? _______________ 2) 9 of the students in Mr. Nickel’s class play a sport. These 9 students make up 45% of the class. How many students are in the class? _______________ 3) Find the area of the trapezoid. _______________ 69 http://www.teacherspayteachers.com/Store/Middle-School-Math-Moments ©ENIXON2013 Day 139 Date __________________ 1) Find the absolute value: _______________ −45 _______________ 2) Find the area and perimeter of the triangle. area _______________ perimeter _______________ *************************************************************************************************** Day 140 Date __________________ 1 1 1) Victor has 2 of an hour left to finish his homework. It takes him 10 of an hour to do each problem. How many problems will he get done in the half hour? _______________ 2) Plot the points (-3, 3), (3, 3), and (3, -2). Plot a 4th point to make a rectangle and connect the points. What are the coordinates of this point? _______________ What is the perimeter of this figure? _______________ 70 http://www.teacherspayteachers.com/Store/Middle-School-Math-Moments ©ENIXON2013 Day 141 Date __________________ 1 1 1 1 1) Use the model to show 2 2 ÷ 2. What is the solution to 2 2 ÷ 2 ? _______________ 2) Sharon bought a sports jersey for $49.95 and a pair of jeans for $35.50. If she paid with a $100 bill, how much change should she get? _______________ 3) What is the relationship between x and y? Write an equation to show the relationship. x 4 5 7 10 y 6 8 12 18 y = _______________ *************************************************************************************************** Day 142 Date __________________ 1) Use the distributive property to find the equivalent expression: 7x + 70 = 7 ( _____ + _____ ) 2) Compare, using <, >, or = −3 2 3) Karle ran a 3 mile race last month. How many yards did she run? _______________ 71 http://www.teacherspayteachers.com/Store/Middle-School-Math-Moments ©ENIXON2013 Day 143 Date __________________ 1) Compare, using <, >, = 83 54 3 5 2 2) A rectangular prism has a length of ft, a width of ft, and a height of ft. What is the volume 4 4 4 of the prism? _______________ 3) Ryan went shopping with $75. When he was finished shopping, he had $15.45 left. Write an algebraic equation that could be used to find how much money Ryan spent. Let x represent the money he spent. ___________________________________________________ *************************************************************************************************** Day 144 Date __________________ 1) On the number line, graph x < -1. 2) Compare, using <, >, or = −4 −5 3) Benny was working on a math project, which was to design a small room. The dimensions of the rectangle below are what he used for his room. He decided that the area of the room was 82 square feet. Is he correct? _______________ 72 http://www.teacherspayteachers.com/Store/Middle-School-Math-Moments ©ENIXON2013 Day 145 Date __________________ 1) 75% of the 28 students in Jenna’s class chose pizza as their favorite food. How many students chose pizza as their favorite? _______________ 2) Evaluate: 4 + 32 ÷ 8 • 24 _______________ 3) Solve for p: p + 125 = 500 _______________ *************************************************************************************************** Day 146 Date __________________ 1) An amusement park charges $15 for admission and $5 for each book of tickets that is purchased. Write an expression to that can be used to find the total cost for any number of books of tickets one would purchase. ____________________________________________________________ 2) Solve: 20.475 ÷ 2.1 _______________ 3) What is the greatest number of minutes a student read in a week? _______________ What is the fewest number of minutes a student read in a week? _______________ 73 http://www.teacherspayteachers.com/Store/Middle-School-Math-Moments ©ENIXON2013 Day 147 Date __________________ 1) The school cafeteria offers many lunch choices. Every 4th school day they offer pizza, and every 6th school day they offer cheeseburgers. If pizza and cheeseburgers are both served today, in how many days will they be served on the same day again? _______________ 2) Identify the mode of the data set: 9, 2, 5, 8, 9, 10, 6 _______________ 3) Sonya bought a carpet to put in a space that is 200 square feet. Its length is 18 feet and its width is 12 feet. Will it fit in the 200 square-foot area? Explain why or why not. ____________________________________________________________________________________________ _____________________________________________________________________________________________ ************************************************************************************************************** Day 148 Date __________________ 1) The range of a data set is 23. If the largest number in the set is 70, what is the smallest number? _______________ 2) Amelia bought 0.9 pounds of bananas at the store. If the bananas cost $0.60 per pound, how much did Amelia pay for 0.9 pounds? _______________ 3) Compare using <, >, or = -1 -4 Use the number line to help you. 74 http://www.teacherspayteachers.com/Store/Middle-School-Math-Moments ©ENIXON2013 Day 149 1) Solve for x: Date __________________ 15 _______________ = 20 2) Pam says that 0.785 is greater than 0.79, because 0.785 has more digits. Is she correct? Explain why or why not. _____________________________________________________________________________________________ 3) What percent of the students read for one hour? _______________ *************************************************************************************************** Day 150 Date __________________ 1) Solve for x: 9 20 = 63 2) Find the value of _______________ 1 3 . 5 3) Find the area of the trapezoid. _______________ _______________ 75 http://www.teacherspayteachers.com/Store/Middle-School-Math-Moments ©ENIXON2013 Day 151 Date __________________ 1) Raul bought 4 t-shirts that all cost the same amount. He spent $51.80 on the t-shirts. Write an algebraic equation that could be used to find the cost of each shirt, and then solve the equation. equation: __________________________________________ solution: ___________________________________________ 2) Circle the expressions that are equal to 32x + 16. a) 2(16x + 8) b) 16(2x + 1) c) (32• x) + (32 • 16) d) (16 • 2x) + (16 • 1) 3) Find the perimeter of the trapezoid. _______________ *************************************************************************************************** Day 152 Date __________________ 1) Find the value of 0.63 . _______________ 1 2 1 2 2) Use the model to show 3 3 ÷ 3. What is the solution to 3 3 ÷ 3 ? _______________ 3) Find the GCF of 63 and 84. _______________ 76 http://www.teacherspayteachers.com/Store/Middle-School-Math-Moments ©ENIXON2013 Day 153 Date __________________ 1) Write a phrase (in words) for this algebraic expression: 4(x + 5) _________________________________________________________ 2) Samantha has 345 photographs that she is putting into an album. She can fit 18 photos on each page, but she needs to buy extra pages to be able to fit all the photos in one album. She thinks that if she has 19 pages, she will be able to fit all of the photos. Do you agree? Why or why not? _____________________________________________________________________________________________ _____________________________________________________________________________________________ 3) Sarah has to raise at least $50 to help pay for her field trip. Write an inequality to represent the amount of money she needs to raise. Then graph the inequality on the number line. Reminder: When writing an inequality, use <, >, ≤ or ≥. _______________________________________ *************************************************************************************************** Day 154 Date __________________ 1) What is the relationship between x and y? Write an equation to show the relationship. x 10 20 30 40 50 y 6 11 16 21 26 y = ________________ 2) If 1 mile ≈ 1.609 kilometers, how many km are in 12 miles? _______________ 3) This shape is the net of a three-dimensional figure. If you folded the net on the dotted lines, what figure would you have? _______________ 77 http://www.teacherspayteachers.com/Store/Middle-School-Math-Moments ©ENIXON2013 Day 155 Date __________________ 1) The volume of a rectangular prism is 648 cubic cm. The height of the prism is 12 cm and the length is 9 cm. What is the width? _______________ 2) Creed has to raise more than $30 to help his baseball team buy new equipment. Write an inequality to represent the amount of money he needs to raise. Then graph the inequality on the number line. _______________ 3) A rectangle has a length of 5 inches and a width of 3 inches. If the length of the rectangle is doubled, how will the area be affected? _______________ *************************************************************************************************** Day 156 Date __________________ 1) Angela studied every day for 5 days. Each day she studied for the same amount of time, and at the end of the 5 days, she had studied for a total of 225 minutes. Write an algebraic equation that could be used to find how long her study sessions were, and then solve the equation. equation: __________________________________________ solution: ___________________________________________ 2) Sam and Sally were given the problem 31 + 22 + 18. Sam said that 31 + 22 must be added together first. Sally said she was going to group 22 + 18 together and add them first. What property says that Sam and Sally can group the numbers differently, but they will get the same answer? __________________________________________________________________ 3) Find the area of the rectangle. _______________ 78 http://www.teacherspayteachers.com/Store/Middle-School-Math-Moments ©ENIXON2013 Day 157 Date __________________ 1) Find the area of the triangle: _______________ 2) What number is the opposite of 10? _______________ 3) Using the net, find the surface area of the cube it represents. Tip: To find surface area, find the area of each side of the cube. _______________ *************************************************************************************************** Day 158 Date __________________ 1) The Dead Sea is 1,388 feet below sea level. Use an integer to represent this measurement. _______________ 2) Ben was at a candy store where they sell candy by the pound. If Ben spent $6.36 for four pounds of candy, what was the cost per pound? _______________ 3) Solve for y: y – 99 = 35 _______________ 79 http://www.teacherspayteachers.com/Store/Middle-School-Math-Moments ©ENIXON2013 Day 159 Date __________________ 1) Matilda designed her garden to look like a T. Use the diagram below to find the area of her garden. _______________ 2) The perimeter of this triangle is 22 ½ square feet. What is the length of side b? _______________ *************************************************************************************************** Day 160 Date __________________ 1) Compare, using <, >, or = −7 4 2) In the equation 4t – 17 = 31, does t = 10? Explain your answer. _____________________________________________________________________________________________ 3) Mark needs to buy some supplies to go camping, but he must spend less than $70. Write an inequality to represent the amount of money he can spend. Then graph the inequality on the number line. 80 http://www.teacherspayteachers.com/Store/Middle-School-Math-Moments ©ENIXON2013 Day 161 Date __________________ 1) A rectangle has a length of 7 feet and a width of 4 feet. If both the length and width of the rectangle are doubled, how will the area be affected? __________________________________________________________ 1 2 1 2 1 2 2) Plot the points (−3 , 1 ) and (4 , −3). _______________ 1 1 3) Find the distance between −3 2 and 4 2 on the x-axis. _______________ *************************************************************************************************** Day 162 Date __________________ 1) Simone has been saving for a new computer and finally has the $755 she needed to save. At the beginning of the year, she only had $125.85. Write an algebraic equation that could be used to find how much she saved this year, and then solve the equation. equation: __________________________________________ solution: ___________________________________________ 2) Janile has a garden that is 10 feet wide and 15 feet long. She has a border around it that is 3 feet wide. What is the area of the border? _______________ 81 http://www.teacherspayteachers.com/Store/Middle-School-Math-Moments ©ENIXON2013 Day 163 Date __________________ 1) Solve: 121 x 47 _______________ 2) 154 of the students in sixth grade have pets. These 154 students make up 77% of the sixth grade students. How many students are in sixth grade? % Tip: use 100 = _______________ 3) Use the Distributive Property to find the equivalent expression: 4(x + 15) = __________ + __________ *************************************************************************************************** Day 164 Date __________________ 1) What three-dimensional shape does this net represent? ________________________________________________ 2) What is the mode of the data set on the line plot? _______________ 2 5 3) Aaron ran 1 3 miles on Saturday. On Sunday, he ran 1 6 miles. On which day did he run farther? _______________ 82 http://www.teacherspayteachers.com/Store/Middle-School-Math-Moments ©ENIXON2013 Day 165 Date __________________ 1) Compare, using <, >, or =. 5 −1 2) What is the area of one of the triangles in this net of a pyramid ? What is the area of the square in the net? _______________ _______________ What is the surface area of the entire pyramid? _______________ *************************************************************************************************** Day 166 Date __________________ 1) James is working out and has decided that for every 10 sit-ups he does, he needs to do 4 push-ups. If he does 120 sit-ups, how many push-ups should he do? sit-ups 10 pushups 4 _______________ 2) The Identity Property of Multiplication states that the product of any number and one equals… _____________________________________________________________________ . 3) Find the range of the data set in the line plot. _______________ 83 http://www.teacherspayteachers.com/Store/Middle-School-Math-Moments ©ENIXON2013 Day 167 Date __________________ 1) The Identity Property of Addition states that the sum of any number and zero equals… ________________________________________________________ 2) Max sold 5 movies from his collection for a total of $63.75. Each movie was sold for the same amount of money. Write an algebraic equation that could be used to find the cost of each movie, and then solve the equation. equation: ___________________________________________ solution: ____________________________________________ 3) Find the area of the trapezoid: _______________ *************************************************************************************************** Day 168 Date __________________ 1) Use the line plot to find the median number of years that students have played instruments. _______________ 2) List the factors of 70. ___________________________________________________________________ 3) Danny made a frame for a picture. The picture is 12 inches long and 9 inches wide. The frame that Danny made is 1.5 inches wide. What is the area of the frame? _______________ 84 http://www.teacherspayteachers.com/Store/Middle-School-Math-Moments ©ENIXON2013 Day 169 Date __________________ 1) Find the volume of the rectangular prism: 2) Convert 7 20 to a percent. _______________ _______________ 3) Kari and her friends decided to watch a movie. The DVD cover said that the movie was 212 minutes long. How long is the movie in hours and minutes? _______________ *************************************************************************************************** Day 170 Date __________________ 1) Convert 2.05 to a percent. _______________ 2) What is the length of the hypotenuse? _______________ 3) Use the line plot to find the mean number of years that students have played instruments (Round to nearest tenth). _______________ 85 http://www.teacherspayteachers.com/Store/Middle-School-Math-Moments ©ENIXON2013 Day 171 Date __________________ 1) Order the integers from least to greatest: 3, -6, -3, 2, -1, 5. Use the number line to help you. __________________________________________________________ 5 8 2) Convert 2 to a decimal. _______________ 3) Find the prime factorization of 200. _______________ *************************************************************************************************** Day 172 Date __________________ 1) Plot the points (-4, -4) and (3, -4). 2) What is the distance between the points in #1? _______________ 3) Find the value of 1 5 . 2 _______________ 86 http://www.teacherspayteachers.com/Store/Middle-School-Math-Moments ©ENIXON2013 Day 173 Date __________________ 1) Use the net of the rectangular prism to find the surface area of the prism. _______________ 2) Students were surveyed to see how many books they own. According to the box plot, what is the median number of books owned? _______________ *************************************************************************************************** Day 174 Date __________________ 1) Find the value of 0.54 . _______________ 2) Circle the expressions that are equal to 30x + 10. a) 10(3x + 1) b) 10(3x • 1) c) (10 • 3x) + (10 • 1) d) (10 + 3x) + (10 + 1) 3) How many students are represented in the line plot? _______________ 87 http://www.teacherspayteachers.com/Store/Middle-School-Math-Moments ©ENIXON2013 Day 175 Date __________________ 1) Solve for x: 8x = 2.6 _______________ 2) What is the length of the hypotenuse? _______________ 3) According to the information in the histogram, the greatest number of students spend how much time on homework each day? _______________ *************************************************************************************************** Day 176 Date __________________ 1) On the number line, graph the inequality x ≥ - 2. 2) Samantha jogged 3 miles in 33 minutes. It took her the same amount of time to jog each mile. Write an algebraic equation that could be used to find how long it took to jog each mile, and then solve the equation. equation: ___________________________________________ solution: ____________________________________________ 3) Emily bought 2 dozen doughnuts for a party. The cost of the doughnuts was $13.25, plus 7% sales tax. How much was the tax on the doughnuts? (Round to the nearest cent.) ________________ 88 http://www.teacherspayteachers.com/Store/Middle-School-Math-Moments ©ENIXON2013 Day 177 Date __________________ 1) The perimeter of the rectangle below is 30.6 m. What is the width of the rectangle? _______________ 2) Use the Distributive Property to find the equivalent expression: 12x + 16 = 4 ( _____ + _____ ) 3) Half of the students have played an instrument for fewer than what number of years? _______________ *************************************************************************************************** Day 178 Date __________________ 1) What is the greatest number of books a student owns? ________________ 2) What is the fewest number of books a student owns? ________________ 3) Use the net of the rectangular prism to find its volume. _______________ 89 Day 179 Date __________________ 1) Every 30 days, Paula needs to give her dog medicine. Every 7 days, she puts gel on her dog’s teeth to help keep them healthy. What is the first day that she will do both on the same day? _______________ 2) Solve for y: 9 _______________ = 135. 3) Find the perimeter of the figure. _______________ *************************************************************************************************** Day 180 Date __________________ 1) Write an algebraic expression for “twice the sum of x and 12.” _____________________________________________________________ 2) Evaluate: 5 + ( 92 - 33 ) ÷ 6 - 3 _______________ 3) Find the area of the figure. _______________ 90