Ratios and Proportions Review

Simplifying Ratios

100

Simplify the ratio and rewrite in 2 equivalent forms.

2 to 8

1 to 4, 1:4, 1/4

200

Simplify the ratio and rewrite in 2 equivalent forms.

3/15

1 to 5, 1:5, 1/5

300

Simplify the ratio and rewrite in 2 equivalent forms.

12:18

2 to 3, 2:3, 2/3

400

Simplify the ratio and rewrite in 2 equivalent forms.

10 to 25

2 to 5, 2:5, 2/5

500

Simplify the ratio and rewrite in 2 equivalent forms.

28:49

4 to 7, 4:7, 4/7

Solve Proportions

100

4/1=z/16

z=64

200

c/8=11/4

c=22

300

36/12=x/2

x=6

400

r/60=40/50

r=48

500

49/98=y/112

y=56

Cross Mult with Distribution

100

8/12=r/(r+1)

r=2

200

n/(n-12)=9/5

n=27

300

11/w=33/(w+24)

w=12

400

7/(s-14)=21/(s+18)

s=30

500

2/(-3)=(4v+4)/(2v+14)

v=-2.5

Cross Mult with Distribution

100

7/3=(2x+5)/x

x=15

200

a/(9a-2)=1/8

a=2

300

24/(5z+4)=4/(z-1)

z=10

400

(c-8)/-2=(11-4c)/11

c=22

500

(k-8)/(7+k)=(-1)/5

k=5.5

Real World Problems

100

Jeanette can swim 105 meters in 70 seconds. How far can she probably swim in 30 seconds?

45 meters

200

Terry drove 366 miles in 6 hours at a constant speed. How long would it take him to drive 427 miles at the same speed?

7 hours

300

A snowstorm dumped 18 inches of snow in a 12-hour period. How many inches were falling per hour?

1.5 inches per hour

400

A girl scout troop uses 18 flashlight batteries on a three-night camping trip. If they are planning a seven-night trip, how many batteries should they bring?

42 batteries

500

Three pumps can remove a total of 1700 gallons of water per minute from a flooded mineshaft. If engineers want to remove at least 5100 gallons per minute, how many pumps will they need operating?

9 pumps