Int Math 3 Review Handout (Sec.3-1 thru 3-7)

Document technical information

Format pdf
Size 3.0 MB
First found May 22, 2018

Document content analysis

Category Also themed
Language
English
Type
not defined
Concepts
no text concepts found

Persons

Organizations

Places

Transcript

Name: __________________________________________
Int Math 3 Review Handout (Sec.3-1 thru 3-7)
2
Graph each function. How is each graph a translation of f(x) = x ?
1
2
y = (x + 3) + 4
A
C
f(x) translated down 4 unit(s) and
translated to the left 3 unit(s)
f(x) translated up 4 unit(s) and
translated to the right 3 unit(s)
B
D
f(x) translated up 4 unit(s) and
translated to the left 3 unit(s).
2
f(x) translated down 4 unit(s) and
translated to the right 3 unit(s)
2
Which expression is equivalent to −x + 8x + 75 = 13?
A
B
(x − 13)(x − 5) = 13
−(x − 13)(x + 5) = 3
−(x − 5)(x + 13) = 3
(x + 5)(x + 13) = 13
C
D
1
Name: ______________________
3
4
ID: A
2
Which is the graph of y = −2(x − 2) − 4?
A
C
B
D
Identify the vertex and the axis of
symmetry of the graph of the function
2
y = 2(x + 2) − 4.
A
B
C
D
What is the maximum or minimum
value of the function? What is the
range?
5
vertex: (–2, –4);
axis of symmetry: x = −2
vertex: (–2, 4);
axis of symmetry: x = −2
vertex: (2, 4);
axis of symmetry: x = 2
vertex: (2, –4);
axis of symmetry: x = 2
2
y = 2x + 28x − 8
A
B
C
D
2
minimum value: 7
range: y ≥ 7
minimum value: –106
range: y ≥ −106
minimum value: –7
range: y ≥ −7
minimum value: –106
range: y ≥ −7
Name: ______________________
6
7
Suppose a parabola has an axis of symmetry at x = 8, a maximum height of 1 and also
passes through the point (9, –1). Write the equation of the parabola in vertex form.
2
A
y = −2(x + 8) + 1
B
y = 2(x − 8) − 1
2
2
C
y = (x − 8) + 1
D
y = −2(x − 8) + 1
2
Identify the maximum or minimum
value and the domain and range of the
2
graph of the function y = 2(x + 2) − 3.
A
B
C
D
9
ID: A
8
minimum value: –3
domain: all real numbers
range: all real numbers ≥ −3
maximum value: –3
domain: all real numbers ≤ −3
range: all real numbers
minimum value: 3
domain: all real numbers ≥ 3
range: all real numbers
maximum value: 3
domain: all real numbers
range: all real numbers ≤ 3
Use the vertex form to write the
equation of the parabola.
2
A
y = 3(x + 2) + 2
B
y = 3(x − 2) + 2
C
y = 3(x − 2) − 2
D
y = (x + 2) + 2
2
2
2
You live near a bridge that goes over a river. The underneath side of the bridge is an arch
2
that can be modeled with the function y = −0.000495x + 0.619x where x and y are in feet. How
high above the river is the bridge (the top of the arch)? How long is the section of bridge
above the arch?
A
The bridge is about 193.52 ft above the river and the length of the bridge above
the arch is about 625.25 ft
B
The bridge is about 1250.51 ft above the river and the length of the bridge above
the arch is about 193.52 ft
C
The bridge is about 1250.51 ft above the river and the length of the bridge above
the arch is about 625.25 ft
D
The bridge is about 193.52 ft above the river and the length of the bridge above
the arch is about 1250.51 ft
3
Name: ______________________
ID: A
What is the graph of the equation?
2
10 y = −2x + 2x + 2
A
C
B
D
What is the number of real solutions?
2
11 8x − 11x = −3
A
B
no real solutions
two real solutions
one real solution
cannot be determined
C
D
4
Name: ______________________
ID: A
2
12 Compare the equation, y = 9x − 4x , the graph below, and the table below. Which has the
steepest rate of change from x = 1 to x = 2, and what is its value?
x
–1
1
2
3
A
graph, –1
B
equation, −
y
0
2
0
–4
1
3
1
2
C
table, −
D
equation, –3
What is the expression in factored form?
2
2
13 16x + 8x
A
B
C
D
14 −4x + 8x + 32
4x(4x + 2)
−4x(4x + 2)
4x(4x − 2)
4(4x + 2)
A
B
C
D
5
−4(x + 4)(x + 2)
−4(x − 4)(x + 2)
−4(x + 4)(x − 2)
−4(x − 4)(x − 2)
Name: ______________________
ID: A
Solve the equation.
2
15 x + 18x + 81 = 25
–14
–4, –14
A
B
14, 4
–4, 4
C
D
What are the solutions of the quadratic equation?
2
2
16 3x + 25x + 42 = 0
A –6, 3
1
B 6, −
2
7
1
C − , −
3 2
7
D –6, −
3
17 4x − 18x + 20 = 0
A 2, 4
5
B
,2
2
C –2, 2
5
D 2,
2
Solve by using tables. Give each answer to at most two decimal places.
2
2
18 −7x − 2 = −10x
A
B
C
D
19 The function h = −10t + 95 models the
path of a ball thrown by a boy where h
represents height, in feet, and t
represents the time, in seconds, that
the ball is in the air. Assuming the boy
lives at sea level where h = 0 ft, which is
a likely place the boy could have been
standing when he threw this ball?
–0.47, 0.47
0.24, 1.19
–1.19, –0.24
0.48, 2.38
A
B
C
D
What value completes the square for the expression?
2
20 x − 18x
A
B
81
−9
9
−81
C
D
6
a ladder
a bridge
an underground cave
his backyard
Name: ______________________
ID: A
Solve the quadratic equation by completing the square.
2
2
21 x + 10x + 14 = 0
C
−5 ± 11
5 ±6
−10 ± 6
D
100 ±
A
B
22 −3x + 7x = −5
11
67
A
7
±
3
B
−
7
±
3
109
C
−
7
±
6
22
D
7
±
6
3
3
6
109
6
Rewrite the equation in vertex form. Name the vertex and y-intercept.
23
2
y = x − 12x + 34
A
B
2
y = (x − 12) − 2
vertex: (–12, –2)
y-intercept: (0, –2)
2
y = (x − 6) − 2
vertex: (6, – 2)
y-intercept: (0, 34)
2
y = (x − 12) + 40
vertex: (–12, –2)
y-intercept: (0, –2)
2
y = (x − 6) + 70
vertex: (6, – 2)
y-intercept: (0, 34)
C
D
Use the Quadratic Formula to solve the equation.
2
2
24 −2x − 5x + 5 = 0
25 −4x + x = −4
32
A
−
5
±
4
B
−
5
±
4
C
−
4
±
5
130
D
−
5
±
2
65
2
65
4
4
2
7
A
1
±
8
B
8±
C
8±
D
1
±
4
65
8
130
8
65
8
65
4
Name: ______________________
ID: A
Use graphing to find the solutions to the system of equations.
26
ÔÏÔ
ÔÔ
ÔÔ y = x 2 + 7x + 7
ÌÔÔ
ÔÔ
ÔÔÓ
y= x + 2
A
C
(–5, 3)
(–1, –1)
B
(–4, –3)
(–2, –1)
D
(–4, 3)
(–2, 1)
(–5, –3)
(–1, 1)
8
Name: ______________________
ID: A
What is the solution of the quadratic system of equations?
27
ÔÏÔ
ÔÔ
ÔÔ y = x 2 + 18x + 35
ÔÌÔ
ÔÔÔ y = −x 2 + 2x + 5
ÔÓ
A
B
(–3, 98)
(–5, 150)
(–3, –10)
(–5, –30)
(–10, –3)
(–30, –5)
(3, –10)
(5, –30)
C
D
What is the solution of the system of inequalities?
28
ÔÏÔ
ÔÔ
ÔÔ y ≥ x 2 + 2x + 2
ÔÌÔ
ÔÔ
ÔÔ y < −x 2 − 4x − 2
Ó
A
C
B
D
9
×

Report this document