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Dependent and Independent Variables Topic Review

Total questions: 19

Worksheet time: 32mins

Name
Class
Date
1.

Jerry types 71 words per minute.

Write an equation to determine the amount of time it would take to type a given number of words.

a)

y=71+x

b)

y=71x

c)

y=x÷71

d)

y=x-71

2.

Jerry types 71 words per minute.

How long would it take Jerry to type 2556 words?

_ minutes



(a)  

3.

Jerry types 71 words per minute.

If Jerry typed for 20 minutes, how many words did he type?

_ words



(a)  

4.

A hiker is climbing at a constant rate of 1.8 miles per hour.

If d represents the distance the hiker climbed and h represents the time in hours, write an equation to model the relationship between them.

a)

d=h-1.8

b)

d=h÷1.8

c)

d=1.8+h

d)

d=1.8h

5.

A hiker is climbing at a constant rate of 1.8 miles per hour.

How much time would it take for the hiker to climb 10 miles?

_ hours

(round to the nearest hundredth)



(a)  

6.

A hiker is climbing at a constant rate of 1.8 miles per hour.

 How many miles will he hike in 2.5 hours?

_ miles

(a)  

7.

The graph shows the relationship between the distance a professional biker is traveling and the time in hours.

If he hikes for 5 minutes, he will travel _ miles.

(a)  

8.

The graph shows the relationship between the distance a professional biker is traveling and the time in hours.

How many minutes does it take him to hike 3 miles? _ minutes



(a)  

9.

A robot sorts 20 pencils into separate colors in a minute.

Write an equation to determine the amount of time it would take to sort a number of pencils.

a)

y=x÷20

b)

y=20x

c)

y=20-x

d)

y=20+x

10.

A robot sorts 20 pencils into separate colors in a minute.

How long would it take the robot to sort 950 pencils?

_ minutes

(a)  

11.

A water pump has a rate of flow of 110 gallons per hour.

Write an equation to model the relationship between the amount of water pumped and the time in hours.

a)

y=110-x

b)

y=x+110

c)

y=110x

d)

y=x÷110

12.

A water pump has a rate of flow of 110 gallons per hour.

How many hours would it take to have about 960 gallons of water?

_ hours

(Round to the nearest tenths place)

(a)  

13.

A water pump has a rate of flow of 110 gallons per hour. Graph the relationship between the amount of water pumped and the time in hours.

a)
b)
c)
d)
14.

Yazmin got a job making $8.75 an hour at a coffee shop.

If y represents the amount Yazmin earned and x represents the number of hours she worked, write an equation to model the relationship between them.

a)

y=8.75+x

b)

y=8.75x

c)

y=x-8.75

d)

y=x÷8.75

15.

Yazmin got a job making $8.75 an hour at a coffee shop

How many hours would Yazmin need to work to earn $175?

_hours

(a)  

16.

Yazmin got a job making $8.75 an hour at a coffee shop.

If Yazmin worked 36 hours in one week, how much did she earn?

$_

(a)  

17.

Patty paints 3 houses each month.

If y represents the number of houses Patty paints and x represents the number of months she takes, write an equation to model the relationship between them.

a)

y=x-3

b)

y=3-x

c)

y=3x

d)

y=x÷3

18.

Patty paints 3 houses each month.

How many months would it take her to paint 15 houses?

_months

(a)  

19.

Patty paints 3 houses each month.

How many houses would Patty be able to paint in 8 months?

_ houses

(a)