Unit 6 Day 3
Homework—Ratios & Proportions
Name: _______________________
Simplify each ratio.
1)
4
4 2
4) a b cd
a2bc6 d2
36x2
11
3 5
5) - 16xy z
4yz
2
3) 12xy
2) 55
21
14
6) 15 in
7)
3 ft
2 km
50 m
8) 35 mm
20 dm
Express each ratio in simplest form.
9) AB:AC ________
10)
mB
mA
________
B
11) mA: mC _________
15
A
70
16
50
18
Solve for the indicated variables.
12) In the diagram, FG:GH is 1:3 and FH = 12.
Find the length of FG and GH.
13) In the diagram, MN:NP is 4:7 and MP = 55.
Find the length of MN and NP.
FG = ________
GH = ________
MN = ________
NP = ________
C
Solve the proportion.
14)
16 x

3 6
15)
8 2

x 5
17)
x 2 4

x 3 5
18)
x  3 2x  1

2
3
16)
19)
4
8

y 3 y
7
9

6x  4 4x  6
20) If a chain-link fence costs $180 for 20 feet to
be installed, how much would it cost to install
300 feet?
21) If 6 lbs. of apples cost $9, what is the cost of
21 lbs. of apples?
22) The ratio of the measures of two
complementary angles is 4:5. Find the
measure of each angle.
23) The ratio of the interior measures of a
quadrilateral are 3:4:5:6. Find the measure
of each angle.
m1 = _____
m2 = _____
m1 = _____ m2 = _____
m3 = _____ m4 = _____