Equivalent Ratios
Ratios as Fractions
Unit Rates
Converting Units
Variables with Rates
100

5 adults to 30 students

1 adult to 6 students

100

30 fish to 18 people

30 fish/18 people

5 fish/3 people

100

in 2.5 hours a car moves 130 miles

130 miles/ 2.5 hours 

52 miles per hour

100

How many inches are there in 3.25 feet?

39 inches 

100

A bathtub is being filled with water at a rate of 12 gallons per minute. The two variables in this problem are the time the tub has been filling, t, and the volume, v, that has filled the tub.

which variable was the dependent one? Which was the independent one?

dependent: volume 

independent: time 

200

14 pens to 7 pencils

2 pens to 1 pencil 

200

12 adults to 27 students:

12 adults/27 students 

4 adults/9 students

200

in 6 seconds sound will travel 6,750 feet

6,750 feet/6 seconds

1,125 feet per second

200

A garden has a length of 54 feet. What is its length in yards?

18 yards

200

Jasmine is going to put $20 worth of gasoline in her car. She goes to the gas station where she pays a price of p-dollars per gallon for gas and gets g-gallons for it. Which of these two variables, the price or the gallons, is the dependent variable?

gallons is the dependent variable

300

5 birds to 2 cats is equivalent to __________ birds to 16 cats.

40 birds

300

$20 to 5 tacos

$20/5 tacos

$4/1 taco

300

2 cups of flour to 4 cups of water

2 cups of flour/4 cups of water 

1/2 cup of flour per cup of water 

300

If there are 16 pints per two gallons then how many pints are there in 5 gallons?

40 pints

300

Brian is running at a pace where it takes him 8 minutes to run one mile. Let T represent the time that Brian has run, in minutes, and let D represent the distance he has run, in miles.

List which of these two variables is dependent and which is independent below.

dependent: time that brian runs

independent:distance brian runs

400

3 forks to 2 spoons is equivalent to 36 forks to _________ spoons. 

24 spoons

400

51 pounds per 15 sacks

51 pounds/15 sacks

17 pounds/5 sacks

400

Rosa runs 100 meters in 16 seconds

100 meters/16 seconds 

divide numerator and denominator by 4

25/4 = 6.25 meters per second

400

There are 16 ounces in a pound. How many pounds does a 132-ounce package weigh?

8.25 ounces 

400

Brian is running at a pace where it takes him 8 minutes to run one mile. Let T represent the time that Brian has run, in minutes, and let D represent the distance he has run, in miles.

Write an equation that gives the time Brian runs, T, in terms of the distance he has run, D.

t = 8d

500

3 people sitting to 4 standing is equivalent to 15 people sitting to ________ standing.

20 standing

500

26 feet per 4 seconds

26 feet/4 seconds

13 feet/2 seconds

500

$10 for 4 tickets at the fair

$10/4 tickets

divide numerator and denominator by 2 

$5/2 tickets = $2.50 per ticket

500

There are 2.54 centimeters in an inch. Which of the following is the number of centimeters in a foot?

(1) 25.62 (3) 29.83 (2) 28.54 (4) 30.48

(4) 30.48

500

A car can drive 32 miles on one gallon of gas. Which equation below relates the miles, m, the car can drive on g-gallons of gas?

(1) g = 32m (2) g = m + 32

(3) m = g + 32 (4) m = 32g

(4) m = 32g