Zir

Document technical information

Format pdf
Size 828.1 kB
First found Jun 9, 2017

Document content analysis

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

Persons

Organizations

Places

Transcript

G.SRT.2 Worksheet 1 Guide
what
is a
proportion?
<(i^t,
| y^cr-{ios (Ar*+'*t\
e6po\
How do we determine if two ratios are
equat?
U6e-
AC
,=-
IJJ
Zir
Lf-tz
cyo75*p rod u c.{s
J(t.) 3 Y&)
7o {>a
How do we solve a proportion?
6&".a) =3*
b)r.-se = =r
2 sx = 0('s)
5X: ?b
*7a=-7Y
We can use proportions and ratios to solve lots of different problems. Here are a few examples.
1. The ratio of boys to girs in the class is
4:3. lf there are 20 boys in the class, how many girls are there?
2. The ratio of boys to girls in the class is
bogs
1:3. lf there are 28 students in the clas, how many girls are there?
gvtc
,r+ tx' -2ff
*x=L&
3. A triangte has angles in
, ,rtifloirl,s, *t
tx + zy +)x = ltro
tr-a
x:7 "
6 /' =-
at is the size of each angle?
/(t.) = F-"-1\
p{zo\ = leo I
TLer\
*,
r}{
h
+ t'^r"^i\'
lZ:J
4. What are the possible names for the quadrilateralwith sides 3:1:3:1?
3Y
lyJ---ltx
L-'
9)r
5. A recipe instructs the cook to use 4 cups of water for each 3 cups of powder. lf you used 10 cups of water, how
much powder should be added?
ttso*ttr
-t
q
y
".-' i
4Y =7o
X
X=1'S-
5. The soccer club has 3:2 of iuniors to freshman. lf the club
how many juniors are there?
3@
3x
has 45 students attend
#<shYw,.,*
Jor't'rsr,J
+
7y = Vr
5X=?r
that are fresh4gqenlu
J (?)
zu) = tt
Fr<Sh.*av-
X-1
7. The sides of a triangle are in the ratio of 3:8:7. lf the perimeter of the triangle
side?
3Y + 6x +'1P = e 7
ItrtL -* b3
Y=7'{
is 63 cm, how
l.s-) =
/l.r)
=
Lo"yuJ-
2t e*
j,l. f c,r^
rrt;
dtt-
NAME:
G.SRT.z WORKSHEET #7
1. Solve each proportion using cross products'
a)
3x
1
515
x=
e)
c)
b)
x+l
x
d)
20*x
6
x4
x+15
4
x+2
t2
2x+13
-=-x=
X=
f)
s)
x-L
9
4 =-x-7
x=
h)
x-9
2
x
5
x4
-=s16
x=
2. Sotve the following problems. (Show work)
t5 foot building casts a 9 foot shadow. How tall
building that casts a 30 ft shadow at the same time?
a) The ratio of seniors to
juniors in the Chess Club is 2:3'
there are 24 juniors, how many seniors are in the club?
b) A
c) A picture is 3 in. wide by 5 in. high was enlarged so that
the width was 15 inches. How high is the enlarged
d) Cameron
picture?
e) A triangle's three angles are in the ratio of
is
the measure of the smallest angle?
5:7:8' What
is
the
has been eating 2 dollar menu burgers every
week (7 days). At that rate, how many hamburgers will he
in 4 weeks?
f) A 5 foot high school boy casts a shadow of 24 inches. At
the same time of day a girl at the elementary school park
casts a shadow of 14 inches.' How tall is she (in feet)?
G.SRT.2WORKSHEEI #7
that has the following ratios for its slDES.
3. what would be the best (most specific) name for the shape
a)3:4:3
b)4:
c)3:3:5:5
d)
5
:4:
5
G'G,G,G
or-or
that has the following ratios for its ANGLES'
4. what would be the best (most specific) name for the shape
a)3:4:3
b)4:
cl2:2:7:7
dl
5
:4:
5
or-
4:4:4:4
5. Solve the following problems. (Show work)
a) The ratio of two supplementary angles is
measures of each
4:5. Find
the
angle.
the
on
AD?
e) points A, B, c, and D are placed in alphabetical order
a line so that AB = 2BC =CD. What is the ratio BD :
two
number?
g) Two numbers are in ratio 7 : 3. The sum of the
numbers is 36. what is the largest
2:3'
Find the
measures of each angle'
two pieces. The ratio of
two pieces is 5:7. How big are the two pieces?
c) A 3 foot stick is broken into
b) The ratio of two complementary angles is
d) ls the largest angle acute, right or obtuse in
that has angles measures in ratio, 2:3:4?
a
triangle
f) Points A, B, and C are placed in alphabetical order on a
line so that 3AB : AC. What is the ratio of AB : BC?
h) Three numbers are in the ratio of 2 : 5 : 3. lf the largest
number is 65. what is the smallest number?
NAME, U
G.SRT.2 WORKSHEET #7
1. Solve each proportion using cross products'
b)
a)
3x
s
t6
-=x x+15
15
gy= ttf
Y-1
x+l _
c)
d)
20-x
6
4
x+2
12
x4
2x+13
by = tb-qY
/o )< =to
-x=
x=
f)
h)
x-t
39x-92x4
-:-
-:4x-7x5516
6x
-=-
l(-+K = bx'b
lY'-q;=zv
1x = 4f
4L
-rx+t" =o
'(x-t\Lx-+\
--o
ffii--1
*=
lx=1lz- I
v-'-tf
L__
2. Solve the following problems. (Show work)
a) The ratio of seniors to juniors in the Chess Club is 2:3'
there are 24 juniors, how many seniors are in the club?
t5 foot building casts a 9 foot shadow. How tall
building that casts a 30 ft shadow at the same time?
b) A
is
the
P L-.13 -2v
3X =
tl(
K= tb
6 Sux,w
c)A picture is 3 in. wide by 5 in. high was enlarged
the width was 15 inches' How high is the enlarged
so
picture?
has been eating 2 dollar menu burgers every
week (7 days). At that rate, how many hamburgers will he
d) Cameron
in 4 weeks?
3t{
t-
-:--r-
x
Jtr='If
x'- L{
e) A triangle's three angles are in the ratio of
is
5:7:8' What
the measure of the smallest angle?
tx + lx + tx =- lro
[email protected]
=
L{o
{=1
{ (q)
f) A 6 foot high school boy casts a shadow of 24 inches' At
the same time of day a girl at the elementary school park
casts a shadow of 14 inches. How tall is she (in feet)?
2
G.SRT.z WORKSHEET #7
ratios for its SlDEs.
3. What would be the best (most specific) name for the shape that has the following
1qo56.e,le2
a)3:4:3
anr-i\
b) 4 : 5 : 4 :
d)
c)3:3:5:5
5
Pa".r,t\r,\03,*r^o1 P'sa$"'^fL'-
.6'.6,G'.6
or
ratios for its ANGLES.
4. What would be the best (most specific) name for the shape that has the following
b)4:
a)3:4:3
cl2:2 :7
:7
l4gcele-t Tra-Pzznif,
5
:4:
dl 4 : 4 : 4 :
5
oY StUo^",*4 F,l+r.."[!e-
5. Solve the following problems. (Show work)
a) The ratio of two supplementary angles is
4:5' Find the
4b\
= lto
QK' [ trc)
=*<>
4D:J2
Y=&
ffoo
I 1oo"
two pieces. The ratio of the
two pieces is 5:7. How big are the two pieces?
c) A 3 foot stick is broken into
tX.+17c=7b
[>6: I L
Y*-3
2:3. Find the
measures of each angle.
measures of each angle.
VY+ 9Y
b) The ratio of two complementary angles is
d) ls the largest angle acute, right or obtuse in a triangle
that has angles measures in ratio, 2:3:4?
,(
-rf
z 0)=L
I
(9-in",717n
e) Points A, B, C, and D are placed in alphabetical order on
a line so that AB = ZBC = CD. What is the ratio BD : AD?
A
a."#
ggpe
BC D
f) Points A, B, and C are placed in alphabetical order on
line so that 3AB : AC. What is the ratio of AB : BC?
a
3
€
,9
g) Two numbers are in ratio 7 : 3. The sum of the two
numbers is 36. What is the largest number?
av +3 x, = 5 t
loY=3b
1>3, b
t b"u)
h) Three numbers are in the ratio of 2 : 5 : 3. lf the largest
number is 65. What is the smallest number?

Similar documents

×

Report this document