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Worksheets

Identifying Independent and Dependent Variables

Total questions: 50

Worksheet time: 2hrs 6mins

Name
Class
Date
1.

Grace is bringing treats to her Algebra 1 class on her birthday. The number of treats she brings is based on the number of students in her class.


Which of the variables is independent?

a)

number of students

b)

number of treats

2.
On a graph, which axis shows the dependent variable?
a)
x-axis
b)
y-axis
c)
neither
d)
it changes
3.
On a graph, which axis shows the independent variable?
a)
x-axis
b)
y-axis
c)
neither
d)
it changes
4.

Jimmy earned $8 for every pizza he delivers.


m = money (dollars)

p = number of pizzas delivered


The dependent variable is:

a)

m = money

b)

p = number of pizzas delivered

5.

Emma gets one sticker for every paper she completes.


s = stickers earned

p = papers completed


The independent variable is:

a)

s = stickers earned

b)

p = papers completed

6.

Ty earns $12 per hour. How much money, m, does he earn on a shift of h hours? Identify the dependent variable.

a)

m: money

b)

h: hours

7.

Asher is planning an experiment to find out how the height from which he drops a ball affects how high the ball bounces. The dependent variable is the _____.

a)

Diameter of the ball

b)

Force acting on the ball

c)

Height that the ball bounces

d)

Height from which the ball is dropped

8.

The graph shows the distance traveled by Ms. Luce's family on a road trip. They will travel 25 miles each hour. Which statement is true about the situation?

a)

the independent variable is distance

b)

the independent variable is d=25 t

c)

the dependent variable is time

d)

the dependent variable is distance

9.
The graph shows the cost of mailing a package based on its weight.  Which statement is true about the situation?
a)
The dependent variable is total cost
b)
The dependent variable is weight
c)
The independent variable is total cost
d)
The independent variable is cost of a package
10.

Ms. Shi is making a scrapbook. As she adds more photos, the scrapbook grows thicker.


p = the number of photos added

t = the thickness of the scrapbook

a)

t is the independent variable and p is the dependent variable

b)

p is the independent variable and t is the dependent variable

11.
A(n) _____________ variable depends on or is changed by another variable.
a)
dependent
b)
independent
12.
Identify the dependent variable:
A study was done to find if different tire treads affect the braking distance of a car.
a)
The car
b)
The distance the car took to brake 
c)
The different tire treads
d)
The drive
13.
Identify the independent variable:
The height of bean plants depends on the amount of water they receive. 
a)
The bean seed
b)
The amount of water provided daily
c)
The amount of sunlight they're exposed to daily
d)
How tall they grow by the end of the experiment
14.

Dilcia wants to know how drinking milk affects how tall Monica grows. Which is the independent variable?

a)

Monica's growth

b)

drinking milk

15.

Identify the independent variable:


The amount of money, m, earned if t raffle tickets are sold

a)

money, m

b)

tickets, t

16.

Identify the independent variable


The number of hours, h, worked and the amount of money, m, earned

a)

hours, h

b)

money, m

17.

Identify the independent variable


The number of shelves, s, in a bookcase and the number of books, b, the bookcase can hold

a)

s

b)

b

18.

Identify the independent variable


The number of pages, p, you read in your book in h hours

a)

p

b)

h

19.

Identify the independent variable


The number of gallons, g, of water in a garden hose produces after running for m, minutes

a)

m

b)

g

20.

Identify the independent variable


The pages p, in a book and the weight, w, of the book

a)

p

b)

w

21.

Identify the independent variable


The pounds, p, of flour you buy and the number of bread loaves, b, you want to make

a)

p

b)

b

22.

Identify the independent variable


The number of hamburgers, h, sold and the dollar amount of sales, s taken in

a)

h

b)

s

23.

Identify the independent variable


The temperature, t, of water and the number of minutes, m, the water is in the freezer

a)

t

b)

m

24.

The number of oranges in a bag and the cost of the bag of oranges are related. What is the independent variable in this relationship?

a)

The number of oranges in the bag

b)

The cost of the bag

25.

You are walking directly away from your house. You are 5 miles away from your house when you start walking, so you can determine your distance from your house by adding 5 to the number of miles you have walked. In the equation below, x represents the number of miles you have walked, and y represents your distance from home in miles.


The relationship between these two variables can be expressed by the following equation:

y=x+5


Which is the independent variable?

a)

Your distance from home

b)

number of miles you walked

26.

You are doing chores to earn your allowance. For each chore you do, you earn $3. In the equation below, c is the number of chores you do, and d is the number of dollars you earn.


The relationship between these two variables can be expressed by the following equation:


d=3c


Which of the following is the independent variable?

a)

The number of chores you do

b)

The amount of dollars you earn

27.

In order to earn extra money on the weekends, Josie's string quartet performs at wedding receptions. The longer the reception, the more money they earn.

r = the length of the reception

m = the total amount of money Josie's quartet earns

Which of the variables is independent?

a)

r

b)

m

28.

In order to earn extra spending money, Dalton babysits children after school. The greater the number of hours he babysits, the more money he earns.

h = the number of hours Dalton babysits

m = the total amount of money Dalton earns

Which of the variables is dependent?

a)

h

b)

m

29.

Paula streams movies through a company that charges her a $4 monthly fee plus $2.50 per movie What is the dependent variable?

a)

the number of movies she rents

b)

the company that she rents from

c)

the money it costs

d)

There isn't one

30.

Katie designs websites. She can create four different websites each week. Katie wants to create an equation that will give her the total number of websites she can design given the number of weeks she works.

What is the independent variable

a)

the number of websites she makes

b)

the number of weeks

c)

the design of the website

d)

there isn't one

31.

Sarah is participating in a walkathon to raise money for local literacy programs. The amount of money Sarah will raise depends on the distance she walks.

m = the amount of money Sarah will raise

d = the distance Sarah walks

Which of the variables is dependent?

a)

m

b)

d

32.
Name the INDEPENDENT variable from the table below.
a)
words
b)
minutes
33.
Name the DEPENDENT variable from the table below.
a)
minutes
b)
bubbles
34.

The dependent quantities shown are;

a)

3,4,5,6,7

b)

-15, -20, -25, -30, -35

c)

1,8,9,10,11,12

d)

There are no dependent quantities

35.

The independent quantities shown are;

a)

3,4,5,6,7

b)

-15, -20, -25, -30, -35

c)

1,8,9,10,11,12

d)

There are no dependent quantities

36.
x
a)
Independent Quantity
b)
Dependent Quantity
37.
y
a)
Independent Quantity
b)
Dependent Quantity
38.
Which label best describes the dependent quantities shown in the table?
a)
Number of tickets (t)
b)
Cost (c)
39.
Name the INDEPENDENT variable from the table below.
a)
words
b)
minutes
40.
Which is the list of the Dependent Quantities?
a)
2, 3, 4, 5, 6
b)
22, 33, 44, 55, 66
41.
On a graph, which axis shows the dependent variable?
a)
x-axis
b)
y-axis
c)
neither
d)
it changes
42.
On a graph, which axis shows the independent variable?
a)
x-axis
b)
y-axis
c)
neither
d)
it changes
43.
The dependent quantities are represented by these values: 10, 20, 30, 40, and 50.
a)
True
b)
False
44.
a)
The dependent variable is total cost
b)
The dependent variable is weight
c)
The independent variable is total cost
d)
The independent variable is cost of a package
45.
The independent quantities are represented by these values: 1, 2, 3, 4, and 5.
a)
True
b)
False
46.

Which of the following is the label for the independent variable?

a)

Money Collected

b)

Raising Money

c)

Boxes Sold

d)

None of the above

47.
What is the Indpendent Quantity?
a)
Gallons of Gas
b)
Miles Driven
48.
Which List shows the Dependent Quantities?
a)
15, 20, 25, 30
b)
5, 10, 15, 20
49.
Which list shows the Independent Quantities?
a)
.5, 1, 1.5, 2, 2.5
b)
8, 16, 24, 32
50.

The independent quantities shown are;

a)

3,4,5,6,7

b)

-15, -20, -25, -30, -35

c)

1,8,9,10,11,12

d)

There are no dependent quantities