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Worksheets

2 Variable Equations

Total questions: 54

Worksheet time: 3hrs 20mins

Name
Class
Date
1.
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
2.
Ramone wants to know: does the distance a person kicks a soccer ball effect how well they will do on their math test.  What is the dependent variable?
a)
How far they kick the soccer ball
b)
who the person is
c)
how well they do on the math test
d)
Type of soccer ball.
3.

What is the INDEPENDENT variable? You are testing which type of paper airplane goes furthest?

a)

the paper used

b)

the type of paper airplane

c)

the distance of each plane's flight

d)

how hard the plane is thrown

4.
Marcos wants to know: Does the type of gasoline put in a car effect how fast the car can drive? What is the independent variable?
a)
Type of gasoline
b)
which car the gas is put into
c)
how fast the car can drive
d)
how much gas is put into the car
5.
Angelina set up an experiment to see how the mass of a ball affects the distance it rolls off a ramp. Identify the independent variable.
a)
Distance traveled by the ball
b)
Height of the ramp
c)
Mass of the ball
d)
Who set up the experiment (Ms. S, etc)
6.

Does the flavor of ice cream effect how fast the ice cream melts? The flavor of ice cream is the....

a)

independent variable

b)

dependent variable

7.

Does the type of shoe worn during a 30 meter dash affect the speed of the runner? The speed of the runner is the...

a)

independent variable

b)

dependent variable

8.

How does increasing the slope of a ramp affect how far a marble travels? Increasing the slope is the...

a)

independent variable

b)

dependent variable

9.

What effect does decreasing the temperature of a room have on a lifespan of a battery? The temperature of the room is the...

a)

independent variable

b)

dependent variable

10.

How does watching TV during studying affect a student’s test grades? Student's grades are the....

a)

independent variable

b)

dependent variable

11.

Does changing the scent of a brand of dog food affect how much the dog eats? How much the dog eats is the...

a)

independent variable

b)

dependent variable

12.

How does the amount of sunlight affect how many tulip flowers a plant grows? The sunlight is the...

a)

independent variable

b)

dependent variable

13.

How does adding cardio to one’s daily schedule affect their heart rate? The heart rate is the...

a)

independent variable

b)

dependent variable

14.

An apple’s freshness will last longer if they are refrigerated. If you did an experiment to test this, the freshness would be the...

a)

independent variable

b)

dependent variable

15.

The variable that is measured.

a)

Controlled Variable

b)

Dependent Variable

c)

Independent Variable

16.

The one factor that a scientist changes during an experiment.

a)

Controlled Variable

b)

Dependent Variable

c)

Independent Variable

17.
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
18.
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
19.
What equation represents this graph?
a)
y = 60x
b)
y = 40x
c)
y = 80x
d)
y = 20x
20.

What variable represents the independent variable?

a)

p

b)

d

21.

Which equation best represents the relationship shown on this graph?

a)

y = 25 + x

b)

y = 25x

c)

y = 25

d)

answer not here

22.

Which statement describes the relationship between x and y in these two equations?

Y = x - 2

Y = 2x

a)

In y = x - 2 and in y = 2x, the value is 2 less than the value of x.

b)

In y = x - 2 and in y = 2x, the value is 2 times the value of x.

c)

In y = x - 2, the value of y is 2 less than x, and in y = 2x, the value of y is twice the value of x.

d)

In y = x - 2, the value of y is 2 times the value of x, and in y = 2x, the value of y is 2 less than the value of x.

23.

Which equation best represents the relationship in this table?

a)

y = 9.6x

b)

y = 10.6x

c)

y = 9.6

d)

y = x + 9.6

24.

Which values are the dependent variables?

a)

y- values

b)

x-values

25.

The equation below describes a relationship between x and y.

y = 2xy\ =\ 2x  

You can use the table below to help select the graph that shows this relationship.

a)
b)
c)
d)
26.

a)

A

b)

B

c)

C

d)

D

27.

Jose travelled at a rate of 0.25 miles per minute. Which equation represents this relationship?


(Remember you can convert a fraction into a decimal, if needed)

a)

y = x/4

b)

y = x + 0.25

c)

y = ​14x

d)

y = 0.25

28.
a)

y = 3x

b)

y = 3 + x

c)

y= x + 6

d)

x = 3y

29.

Which situation can be represented by the equation y = 5x?


(Remember the important operation words: x, -, +)

a)

Isaiah went to the store for X days.
This is 5 times Y, the number of days his brother went to the store.

b)

Isaiah spent X dollars to buy a gift for his mom.
He gave the cashier Y dollars and received $5 in change.

c)

Isaiah has Y dollars.
This amount is 5 times X, the amount of money in dollars Isaiah's brother has.

d)

Isaiah is Y years old. 
His age is 5 years greater than X, his brother's age in years.

30.

Write and equation for the scenario:


Nahomy earns $15 each hour she tutors a student in spanish.

a)

Y = 15x

b)

15

c)

15x

d)

x = 15y

31.

Which list below shows the dependent quantities?

a)

0, 1, 2, 3, 4, 5

b)

0, 5, 10, 15, 20

c)

10, 20, 60, 80, 100

d)

None of the above

32.

What are the independent values?

a)

adult tickets

b)

children's tickets

c)

0, 10, 20, 30, 40, 50, 60, 70

d)

0, 20, 40, 60, 80, 100, 120, 140

33.

Which situation can be represented by the equation y = 12x?

a)

A factory uses a total of Y gallons of water at a rate of 12 gallons per hour for X hours.

b)

A bakery serves a total of Y cakes in one day, in which 12 cakes are served during the first hour and X meals are served during the remaining hours.

c)

A restaurant prepares a total of Y batches of pizza sauce from 12 pounds of tomatoes, with each batch weighing X pounds.

d)

A company manufactures a total of 12 plates every hour, with X of the plates made are blue and Y of the plates are green.

34.

a)

A

b)

B

c)

C

d)

D

35.

a)

A

b)

B

c)

C

d)

D

36.

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

37.
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
38.
What is the algebraic equation for this table?
a)
y = x + 3
b)
y = 3x
c)
y = x ÷ 3
d)
y = x - 3
39.

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

40.
Which equation matches the table?
a)
y = x + 5
b)
y = 5x
c)
y = x - 5
d)
x = y - 5
41.
On a graph, which axis shows the independent variable?
a)
x-axis
b)
y-axis
c)
neither
d)
it changes
42.
On a graph, which axis shows the dependent variable?
a)
x-axis
b)
y-axis
c)
neither
d)
it changes
43.
Name the INDEPENDENT variable from the table below.
a)
words
b)
minutes
44.

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

45.

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

46.

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

47.
What algebraic equation shows the relationship between the independent and dependent variables?
a)
y = ax
b)
y = x + 12
c)
y = -3x
d)
y = 
48.
Which equation matches the table?
a)
y = x 
b)
y = 5x
c)
y = x - 4
d)
y = x + 4
49.
Choose the best explaination
a)
Taylor can write 6 words per minute
b)
Taylor can write 25 words per minute
c)
Taylor can write 50 words per minute
d)
Taylor can write 150 words per minute
50.
Find the 2 missing OUTPUT values.
a)
6 & 12
b)
4 & 12
c)
4 & 2
d)
6 & 2
51.
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
52.
Write an equation for this relationship.
a)
y=18x
b)
y=18.50x
c)
y=22.50x
d)
y=22x
53.
a)
b)
c)
d)
54.
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