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Worksheets

Independent and Dependent Variables

Total questions: 61

Worksheet time: 4hrs 52mins

Name
Class
Date
1.
On a graph, which axis shows the independent variable?
a)
x-axis
b)
y-axis
c)
neither
d)
it changes
2.
A(n) _____________ variable depends on or is changed by another variable.
a)
dependent
b)
independent
3.

The y- axis is the ___________________ number line in the coordinate plane.

a)

Vertical

b)

Diagonal

c)

Horizontal

d)

origin

4.
Name the INDEPENDENT variable from the table below.
a)
words
b)
minutes
5.

In the table, Bubbles is the ______________.

a)

independent variable

b)

dependent variable

6.

Sophie earned $5 for every A she got on her report card.


m = money

A = A on report card


The dependent variable is:

a)

m = money

b)

A = A on report card

7.

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

8.
Independent means
a)
an amount that can stand on its own
b)
an amount that depends on another amount
9.
Which label best describes the dependent quantities shown in the table?
a)
Number of tickets (t)
b)
Cost (c)
10.
Which label best describes the independent quantities shown in the table?
a)
Number of tickets (t)
b)
Cost (c)
11.
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
12.
On a graph, which axis shows the dependent variable?
a)
x-axis
b)
y-axis
c)
neither
d)
it changes
13.

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

14.

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

15.

Ty earns $12 per hour. Which of the following equations best represents how much money, m, he earns on a shift of h hours?

a)

m = 12h

b)

m = 12 + h

c)

h = 12m

d)

h = 12 + m

16.

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

17.

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

18.

Each pizza at Pizza Hut, p, costs $5.50. Which of the following equations best represents the cost, c, of buying p, pizzas?

a)

m = 5.50 + c

b)

c = 5.50 + m

c)

p = 5.50m

d)

c = 5.50p

19.
Paco's daughter will be participating in an upcoming dance recital. She will require a different costume for each dance she plans to performs.
c = the number of costumes Paco's daughter will require
d = the number of dances Paco's daughter plans to perform

Which of the variables is independent?
a)
c = the number of costumes
b)
d = the number of dances
20.
Sarah is bringing treats to her elementary school class on her birthday. The number of treats she brings in is based on the number of students in her class.
t = the number of treats
s = the number of students

Which of the variables is independent?
a)
s = the number of students
b)
t = the number of treats
21.
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 = The amount of money Sarah will raise
b)
d = the distance Sarah walks
22.
Tiffany was investing how fast it took Hayden to react to different sounds. Identify the independent variable.
a)
How fast Hayden reacted
b)
different sounds
c)
types of music
d)
Hayden
23.

Sarah is bringing treats to her elementary school class on her birthday. The number of treats she brings in is based on the number of students in her class.


t = the number of treats

s = the number of students


Which of the variables is INDEPENDENT?

a)

s

b)

t

24.

A car (c) travels 60 mph (s).

Which answer choice is true?

a)

Independent: c

Dependent: s

b)

Independent: s

Dependent: c

c)

Independent:

s & c

d)

Dependent:

s & c

25.

Each bag of popcorn (p) cost $6.00 (c) at the football game.

Which answer choice is true?

a)

Independent: p

Dependent: c

b)

Independent: c

Dependent: p

c)

Independent:

c & p

d)

Dependent:

c & p

26.

What equation matches the table?

a)

y=6x

b)

y=x+10

c)

y=x -10

d)

y=x ÷ 6

27.

Gourmet chocolate costs $5.25 per pound. Which equation best represents y, the total cost of x pounds of chocolate?

a)

x = 5.25y

b)

y = 5.25 + x

c)

y = 5.25x

d)

x = 5.25 +y

28.

The table shows the ounces of water,y, need to for x number of servings.


Based on the information in the table, which equation can be used to model the relationship between x and y?

a)

y = 2x

b)

y = x + 2

c)

y = 18x

d)

y = x + 18

29.
Which of these equations represent the table above if the number of tickets represents x and the total cost represents y?
a)
y=2x
b)
y=54x
c)
y=27x
d)
y=x
30.
Greg gets paid $6 an hour working in a garden. Use the equation m=6h, where m is the money he makes, and h is the hours he works. How much money does he make if he works 9 hours?
a)
$15
b)
$3
c)
$54
d)
$53
31.

Which equation represents the table of values?

a)

y = 400

b)

y = 400x

c)

y = x + 400

d)

y = 400x + 800

32.

Which equation matches the description if x is the number of minutes and y is the total cost.

a)

y = 1.20

b)

y= 1.20x

c)

x = 1.20

d)

x = 1.20y

33.

The graph shows the total money earned at a fundraising car wash. Which equation can be used to find the total earned y for the number of cars washed x?

a)

y = x + 5

b)

y = x/5

c)

y = x - 5

d)

y = 5x

34.

According to the graph, how much money would you earn if you washed 8 cars?

a)

$25

b)

$80

c)

$50

d)

$40

35.

Patrick earns $20 for every lawn that he mows. Write an equation used to find t, the total amount of money he earns from mowing n lawns.

a)

n = 20t

b)

t = 20n

c)

t = n + 20

d)

t = n - 20

36.
Nancy can type 50 words per minute. Look at the table below to write an equation that matches the data.
a)
m=50 + w
b)
w= 50m
c)
w= 50 + m
d)
m= 50 - w
37.

What is the correct equation for the graph?

a)

m = 20h

b)

m = 40h

c)

m = 80h

d)

m = 160h

38.

In this graph, the coordinate point (2,10) means which of the following?

a)

2 km for every 10 minutes

b)

10 km for every 2 minutes

c)

10 km per minute

d)

(2,10) is not plotted on this graph

39.

A food service worker earns $12 per hour. Write an equation to determine how much money, m, the worker can earn for any number of h hours?

a)

m = 12 + h

b)

h = 12m

c)

m = 12h

d)

h = 12/m

40.
Write an equation for this relationship.
a)
y=18x
b)
y=18.50x
c)
y=22.50x
d)
y=22x
41.

Which equation represents the relationship?

a)

d=h+9d=h+9

b)

h=9dh=9d

c)

h=d+9h=d+9

d)

d=9hd=9h

42.

Which equation best represents the relationship in the table?

a)

b=15fb=15f

b)

f=15bf=15b

c)

f=b+15f=b+15

d)

f=15−bf=15-b

43.

Write an equation that represents the relationship between the variables in the table.

a)

t=10d

b)

t=d-9

c)

t=10-d

d)

d=t+10

44.

Which equations best represents the graph?

a)

m = 150h

b)

h = 150m

c)

m = 75h

d)

h = 75m

45.

Which of the following situations is best represented by the equation

y=15xy=15x  ?

a)

Mr. Salazar curved (added points) the test by 15 points. 

b)

There were 15 more questions on the test than the last test. 

c)

Mr. Salazar took off 15 points for not showing your work on the test. 

d)

On the test, each question correct was worth 15 points. 

46.

Write an equation from the graph (Hint: make a table first)

a)

y = x + 15

b)

x = 15y

c)

y = 15x

d)

x = y + 15

47.

A carpenter charges $720 for 18 hours of work. She charges the same amount of money for each hour of work. Which table shows the relationship between the amount of time the carpenter works and the amount of money she charges?

a)

A

b)

B

c)

C

d)

D

48.

Ty earns $12 per hour. Which of the following equations best represents how much money, m, he earns on a shift of h hours?

a)

m = 12h

b)

m = 12 + h

c)

h = 12m

d)

h = 12 + m

49.

Each pizza at Pizza Hut, p, costs $5.50. Which of the following equations best represents the cost, c, of buying p, pizzas?

a)

m = 5.50 + c

b)

c = 5.50 + m

c)

p = 5.50m

d)

c = 5.50p

50.

Which of the following equations match the table.

a)

x = 2y

b)

y = 2x

c)

y = x + 5

d)

x = y

51.

Select the correct responses


Mr. Michel can type 30 words, w, per minute, m.


w= represents words typed

m= represents minutes typing

a)

w is the independent variable

b)

m is the independent variable

c)

w is the dependent variable

d)

m is the dependent variable

52.

The total hours, h, spent studying, will determine the grade, g, you earn on your test.


h= represents hours spent studying

g= represents grade earned from studying.

a)

The dependent variable is "g", grade

b)

The dependent variable is " h", hours

53.

Addae can run 5 miles, m, in one hour, h.


m= represents miles ran

h= represents hours spent running

a)

The independent variable is "5h" and the dependent variable is "5m"

b)

The dependent variable is "m" and the independent variable "5h"

c)

The independent variable is "h" and the dependent variable is "m"

d)

The independent variable is "m" and the dependent variable is "h"

54.

Justin runs a bakery. He bakes 200 cookies, c, every three hours, h.


c= represents cookies baked

h= represents hours

a)

"h" represents the dependent variable

b)

"c" represents the independent variable

c)

"200c" represents the independent variable

d)

"h" represents the independent variable

55.
Which label best describes the independent quantities shown in the table?
a)
Number of tickets (t)
b)
Cost (c)
56.
Which label best describes the dependent quantities shown in the table?
a)
Number of tickets (t)
b)
Cost (c)
57.

Elias works at the Hamburger Hut and makes $9 and hour.


What is the independent variable we can assume from this statement?

a)

Elias likes hamburgers

b)

How many hours he works

c)

How much money he makes

d)

Diego ate all of the hamburgers and Elias had to pay for them

58.

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

a)

Monica's growth

b)

drinking milk

59.

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

60.

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

61.
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