wayground logo

Free Printable Worksheets

Font size

S
M
L
XL
Worksheets

Functions Unit Review

Total questions: 128

Worksheet time: 3hrs 29mins

Name
Class
Date
1.
Find the slope of the line.
a)
-5/4
b)
5/4
c)
-4/5
d)
4/5
2.
What is the y-intercept of the equation:
 y = 2x - 3 
a)
-2
b)
2
c)
3
d)
-3
3.
Write the equation of the line.
a)
y=(3/5)x+1
b)
y=(3/5)x-1
c)
y=(5/3)x+1
d)
y=(3/5)x+1
4.
Find the x and y intercepts
4x - 5y = 40
a)
x intercept is 10 
y intercept is 8
b)
x intercept is 10
y intercept is 20
c)
x intercept is 8
y intercept is 10
d)
x intercept is 10
y intercept is -8
5.
Find the value of y when x = 2.
a)
2
b)
6
c)
7
d)
8
6.
Randy charges his tenants $400 each month to rent his houses plus $600 security deposit. In the new year, the property taxes increased on the area where he rents so as a result he must increase the rate of change by $25 to ensure his profits are not harmed. What equation best represents how much his tenants will now have to pay? 
a)
y = 425x + 600
b)
y = 425 + 600x
c)
y = 400x + 625
d)
y = 400 + 625x
7.
What is the rate of change (slope) to rent a raft from Ryan's Rafts?
a)
$15 per hour
b)
$2.25 per hour
c)
$17.25 per hour
d)
$1 per hour
8.
Which panda is growing faster?
a)
Mochi
b)
Kappa
c)
Po the dragon warrior
d)
Jack Black
9.
Which panda will weigh more at 5 weeks?
a)
Mochi
b)
Kappa
c)
Po the dragon warrior
d)
Jack Black
10.
Who is losing weight faster?
a)
Valerie
b)
Oscar
c)
Mrs. Conte
d)
They are losing the same amount of weight
11.
The cost of Nate’s service is described by y = 4x + 6. The table shows the cost of Beth’s service. Find the equation for Beth's service.  Which service is cheaper for 8 movies in one month?
a)
Beth's service ($38 vs. $40) is cheaper
b)
Nate’s service ($42 vs. $44) is cheaper
c)
Nate’s service ($38 vs. $40) is cheaper
d)
Beth's service ($42 vs. $44) is cheaper
12.

What is the slope of

-6x-2y=9?

a)

9/2

b)

9

c)

-3

d)

-6

13.

Which graph represents 2x + 4y = 12?

a)

b)

c)

d)

14.
The equation below represents an elevator's height after an amount of seconds. Using this equation, what should the height of the elevator be after 14 seconds?
y = -3.8x + 290
a)
80
b)
236.8
c)
-80
d)
72.6
15.

Find the slope in simplest form

a)

I have no clue how to do this

b)

1/3

c)

3

16.

Is this a function? {(0,2) (3,6) (4,7) (0,5) (9,8) (2,-1) (3,-3)}

a)

Yes

b)

No

17.

What is the formula for finding slope of the line containing  (x1, y1) and (x2, y2)\left(x_1,\ y_1\right)\ and\ \left(x_2,\ y_2\right)  ?

a)

m=y2−y1x2−x1m=\frac{y_2-y_1}{x_2-x_1}

b)

m=x2−x1y2−y1m=\frac{x_2-x_1}{y_2-y_1}

c)

m=y2−y1x1−x2m=\frac{y_2-y_1}{x_1-x_2}

d)

m=y1−y2x2−x1m=\frac{y_1-y_2}{x_2-x_1}

18.

Which is the Slope-Intercept Form, given m and the point (0, b)?

a)

y=mx+by=mx+b

b)

y−d=m(x−c)y-d=m\left(x-c\right)

c)

Ax+By=CAx+By=C

d)

y=mx−by=mx-b

19.
a)
Function
b)
Not a Function
20.

Does this graph represent a function?

a)

Yes

b)

No

21.

Do these ordered pairs represent a function?

a)

Yes

b)

No

22.

Does this table represent a function?

a)

Yes

b)

No

23.

Does this graph represent a function?

a)

Yes

b)

No

24.

Do these ordered pairs represent a function?

a)

Yes

b)

No

25.

Does this table represent a function?

a)

Yes

b)

No

26.

Does this graph represent a function?

a)

Yes

b)

No

27.

Do these ordered pairs represent a function?

a)

Yes

b)

No

28.

Does the table represent a function?

a)

Yes

b)

No

29.

Does this graph represent a function?

a)

Yes

b)

No

30.

Do these ordered pairs represent a function?

a)

Yes

b)

No

31.

Does this graph represent a function?

a)

Yes

b)

No

32.

Do these ordered pairs represent a function?

a)

Yes

b)

No

33.

Does this graph represent a function?

a)

Yes

b)

No

34.

Finish this table to find the y intercept.

(a)  

35.

Graph the line that represents the equation y=3x-5 by placing 2 points on the line.

36.

The graph of a line is shown. What are the equation and the slope of the line?

Equation: ​ (a)  

Slope: ​ (b)  

Choose from the below words

y=2y=2  

00  

x=2x=2  

y=2xy=2x  

22  

undefinedundefined  

37.

Graph the line that represents the equation

y= −23-\frac{2}{3} x + 1 by placing 2 points on the line.

38.

Complete the graph for the equation y=3x. Choose three points.

A
B
C
D
E
F
G
H
I
39.

The graph of a line is shown. What are the equation and slope of the line? Move the correct answer to each box. Not all answers will be used.

Equation: ​ (a)  

Slope: ​ (b)  

Choose from the below words
y = -4
zero
y = 4x
x = -4
undefined
40.

Nate had a collection of 90 comic books. He gave away 5 per week.

Which three points lie on the line that best represents this situation between the number of comic books, y, and the number of weeks, x?

A
B
C
D
E
F
G
H
41.

James buys 4 pens for $3. Which three points lie on the line that best represents the total cost, y, of x pens?

Shade the THREE correct circles that represent the points.

A
B
C
D
E
F
42.

The relationship between the number of minutes a child does math problems and the amount of math problems the child completes is y = 2x

Graph three points that follow this rule. (Hint: There are 5 possible points you could plot.)

A
B
C
D
E
F
G
H
I
J
43.

The cost of 9 nails at a hardware store is 36 cents. Each nail has the same cost.

Graph four points that lie on a slope that best represents the cost of each nail at the hardware store.

Select FOUR correct answers.

A
B
C
D
E
F
G
44.
Is the function Linear or Nonlinear?
a)
Linear
b)
Nonlinear
45.

Look at the graph.


Does this graph represent a linear function?

a)

yes

b)

no

46.
Is this function linear or nonlinear?
a)
Linear
b)
Nonlinear
47.

Is this graph linear?

a)

Yes, because it passes the vertical line test

b)

No, because it is not a straight line

48.
What is the definition of function?
a)
Has inputs and outputs
b)
Every input has only ONE output
c)
Inputs have different outputs every time
d)
x-values and y-values
49.
a)
Function
b)
Not a Function
50.
a)
Function
b)
Not a Function
51.
a)
Function
b)
Not a Function
52.
a)
Function
b)
Not a Function
53.
a)
Function
b)
Not a Function
54.

Which of the following is a function?

a)
b)
c)
d)
55.

Which of the following is a function?

a)

A

b)

B

c)

C

d)

D

56.
Is this function linear or nonlinear?
a)
Linear
b)
Nonlinear
57.
Is the function linear or nonlinear?
a)
Linear Function
b)
Nonlinear Function
58.
Is the function linear or nonlinear?
a)
Linear Function
b)
Nonlinear Function
59.
Is the table linear or nonlinear?
a)
Linear
b)
Nonlinear
60.
a)
A
b)
B
c)
C
d)
D
61.
Is this function linear or non linear?
a)
Linear
b)
Non Linear
62.
Which of the following is NOT a linear function?
a)
y = 3x
b)
y = x2
c)
y = 5x - 9
d)
y = 3(x + 4)
63.

Match the following to the BEST description of the relationship.

a)

1.

Linear

Function

b)

2.

Nonlinear

Function

c)

3.

Linear

Non-function

d)

4.

Nonlinear

Non-function

64.
How many solutions will this system have?
a)
One
b)
Two
c)
No Solution
d)
Infinitely Many Solutions
65.
The solution (x, y) to a system of equations is the point where they...? 
a)
Run off the graph
b)
Don't touch
c)
Intersect
d)
Exist
66.
What is the solution to the system?
a)
(0, 3)
b)
(1, -1)
c)
(-3, 1)
d)
(1, 3)
67.
Alex graphed two lines in order to find the solution to a given system of equations.
What is the solution?
a)
(-3,-8)
b)
(-8,-3)
c)
(-8,-3)
d)
(8,3)
68.
Lesly graphed two lines in order to find the solution to a given system of equations.
What is the solution?
a)
(-3,-8)
b)
(-8,-3)
c)
(3,-8)
d)
(8,3)
69.
Buzz graphed two lines in order to find the solution to a given system of equations.
What is the solution?
a)
(-1, 4)
b)
(1, -4)
c)
(-4, 1)
d)
(4, -1)
70.

Identify the solution to the system of equations
MAKE SURE YOUR ANSWER IS A POINT, (X,Y)

71.
How many solutions will this system have?
a)
No Solution
b)
Infinitely Many Solutions
c)
No Clue
d)
One solution
72.
What is the solution? 
a)
1
b)
-2
c)
(1, 2)
d)
(1, -1)
73.
If a system of linear equations has one solution, what does this mean about the two lines? 
a)
Parallel lines
b)
the same line 
c)
Intersecting lines
74.
What is the solution?
a)
No solution
b)
(0, 2)
c)
(0, -4)
d)
(3, -3)
75.
What is the solution to this system of equations?
a)
(1,0)
b)
(-3, -1)
c)
(-1,-3)
d)
(1,3)
76.
What is the solution to this system of equations?
a)
(1,4)
b)
(4,1)
c)
(3,5)
d)
(-1, 4)
77.
What is the solution to this system of equations?
a)
(1,3)
b)
(-2,3)
c)
(3,1)
d)
(3,-1)
78.
What is the solution to this system of equations?
a)
(3,-3)
b)
(-3,3)
c)
(0,1)
d)
(1,0)
79.

Is the point (2, -1) a solution to the systems of equations below?


y=5x+3


y=-2x-4

a)

Yes

b)

No

80.
Determine if (4, 1) is a solution for the system of equations.
y = -x + 5
y = 2x - 7
a)
yes
b)
no
81.
Tell whether the ordered pair is a solution to the system.
(0, 3)   -7x + 9y = 27
            -14x - 2y = -6
a)
Yes
b)
No
82.
Tell whether the ordered pair is a solution to the system.
(-1,  -2)   3x + 5y = 3
               -9x - 8y = -9
a)
yes
b)
no
83.
How can you tell if a point is a solution to a system?
a)
It makes the first equation true.
b)
The (x,y) coordinates satisfy both equations
c)
It makes logical sense
d)
It makes neither equation negative
84.
a)
F
b)
G
c)
H
d)
J
85.
a)
F
b)
H
c)
G
d)
I
86.
a)

Opposite Tom's home is a hill. Tom climbed slowly up the hill, walked across the top, and then ran quickly down the other side.

b)

Tom walked to the store then he stopped and waited to watch the sky. After that, he ran to get home .

c)

Tom was walking to the park. He stopped and waited so the baby chicks could pass.

87.

What is a plausible story for this graph?

a)

A student was jogging from school to home. She stopped to tie her shoe and take a drink from her water bottle, then continued at the same pace as before.

b)

A student was jogging from school to home. She walked for a while, then continued jogging.

c)

A sled rider was going down a hill. The hill was steep at first, then kind of flat. At the end, it was steep again.

d)

A car was slowing down, then contued moving at a constant rate. Finally, it slowed to a stop,

88.
According to the graph how far does the person travel in the first 5 seconds?
a)
2 m
b)
10 m
c)
0 m
d)
5 m
89.

Which of these graphs do not show the object staying still?

a)
b)
c)
d)
90.

What is a plausible description of this graph?

a)

The object began moving away quickly at a constant speed. It stopped. It then turned to return at a constant speed.

b)

The object changed diections three times.

c)

The object began walking away slowly then began running away. Both were at constant speeds. It then turned and walked back to where it started.

d)

The object began moving away at a constant speed. It continued moving away, but slowed its speed. It then turned around and returned home at a speed that was probably in between the first two speeds.

91.

The graph shows Timmy's distance he is as he leaves school one afternoon. What happens in section C? Why is the distance from school decreasing?

a)

Timmy is walking back to school because he forgot his math book.

b)

Timmy is talking to a friend and not walking.

c)

Timmy is walking faster home.

d)

Timmy is dancing in the street.

92.

Between 4 and 8 seconds the helicopter's distance is .....................

a)

Increasing

b)

Decreasing

c)

Staying the same

93.
The sales record for a recent hit CD at Tony’s Music Store is shown on the graph.  Which statement best describes the sales of this CD?
a)
Sales rapidly increased, reached a peak, and then gradually decreased.
b)
Sales gradually increased, reached a peak, and then leveled off.
c)
Sales rapidly increased, reached a peak, and then rapidly decreased
d)
Sales remained constant throughout the time period.
94.
a)

blue

b)

red

c)

green

95.
Which of the graphs shows that one of runners started 10 yards further ahead of the other? 
a)
Graph A
b)
Graph B
c)
Graph C
d)
Graph D
96.
Between which seconds is the line INCREASING?
a)
Between 7 and 12 seconds
b)
Between 0 and 1 seconds
c)
Between 1 and 5 seconds
d)
Between 12 and 13.5 seconds
97.
Between which seconds is the line DECREASING?
a)
Between 7 and 12 seconds
b)
Between 0 and 1 seconds
c)
Between 1 and 5 seconds
d)
Between 12 and 13.5 seconds
98.
Which runner was faster?
a)
Runner A
b)
Runner B
99.
What happened during C to D point?
a)
not moving
b)
increasing speed at a constant rate
c)
moving at a constant speed
d)
moving at 0 m/s2 acceleration
100.
What does this graph represent?
a)
Constant speed
b)
Acceleration
c)
Not moving
101.
What happened during O to A point?
a)
not moving
b)
constant speed
c)
accelerating
d)
decelerating
102.

Which runner stopped for a rest?

a)

Albert

b)

Bob

c)

Charlie

103.

The graph shows Timmy's distance he is as he leaves school one afternoon. What happens in section C? Why is the distance from school decreasing?

a)

Timmy is walking back to school because he forgot his math book.

b)

Timmy is talking to a friend and not walking.

c)

Timmy is walking faster home.

d)

Timmy is dancing in the street.

104.

A function is a relationship between two variables.

a)

TRUE

b)

FALSE

105.

All functions have to be straight line graphs the entire way.

a)

TRUE

b)

FALSE

106.

Numbers in a function table can NEVER repeat.

a)

TRUE

b)

FALSE

107.

This is NOT a functional relationship because...

a)

the tree cannot be two different heights after 2 days

b)

the slope is not the same

c)

a tree height cannot start at 2 cm

d)

numbers in a table can never repeat

108.

This is NOT a functional relationship because...

a)

the tree cannot be two different heights after 2 days

b)

the slope is not the same

c)

a tree height cannot start at 2 cm

d)

the line has to be in a straight line pattern the entire way

109.

This graph shows Mr. Hampton's run and his distance from home.

How many times did Mr. Hampton stop to rest?

a)

1

b)

2

c)

3

d)

4

110.

The graph shows Mr. Mitchell exercising.

What was the his heart rate at the beginning of the workout?

a)

70

b)

110

c)

30

d)

0

111.

The graph shows Mr. Mitchell exercising.

What was the highest his heart rate reached during the workout?

a)

70

b)

110

c)

30

d)

0

112.

The graph shows Mr. Mitchell exercising.

How long was his heart rate at 110 beats per minute?

a)

20 minutes

b)

10 minutes

c)

30 minutes

d)

40 minutes

113.

During what parts of this trip was the biker staying in the same place (distance not changing)?

a)

B, D, and F

b)

Just part B

c)

Just part D

d)

Just part F

114.

During what parts of this trip was the biker riding back towards home?

a)

E and G

b)

Just part E

c)

Just part G

d)

A and C

115.

Ms. C. was walking her dog. At one point she stopped at a dog park.

How far was the dog park from the beginning of her walk?

a)

3 blocks

b)

6 blocks

c)

9 blocks

d)

10 blocks

116.

The graphs show the heights of three different roller coasters over time.

Why is the graph on the right NOT a function?

a)

A roller coaster cannot go back in time and cannot be at three different locations at the same moment in time.

b)

Graphs cannot have curvy lines.

c)

Graphs always must be straight lines.

d)

A height cannot be negaitve.

117.

Why is this table NOT a function?

a)

The INPUT 2 repeats with two different OUTPUT numbers.

b)

20, 40, and 30 are in the wrong order.

c)

It actually IS a function.

d)

The number 2 cannot repeat.

118.

Which function rule best predicts the height (H) compared to the number of days (d)?

a)

H = 5 + 3d

b)

H = 5d + 3

c)

H = 3d

d)

H = 5d

119.

Which situation could explain this function?

a)

The height stayed the same over time.

b)

The height increased over time.

c)

The height decreased over time.

d)

There is no way to predict the height over time.

120.

How high off the ground was the rocket at the beginning of the launch?

a)

1.5 meters

b)

0 meters

c)

6 meters

d)

10 meters

121.

How high off the ground was the rocket at 5 seconds?

a)

1.5 meters

b)

about 4.5 meters

c)

6 meters

d)

10 meters

122.

How many seconds did it take for the rocket to reach its highest point?

a)

3 seconds

b)

4.5 seconds

c)

6 seconds

d)

10 seconds

123.

Which function could show the water in a pool emptying the entire time?

a)
b)
c)
d)
124.

Which function could show the water in a pool increasing the entire time?

a)
b)
c)
d)
125.

Function or Not a Function?

a)

FUNCTION

b)

NOT A FUNCTION

126.

Function or Not a Function?

a)

FUNCTION

b)

NOT A FUNCTION

127.

Function or Not a Function?

a)

FUNCTION

b)

NOT A FUNCTION

128.

Function or Not a Function?

a)

FUNCTION

b)

NOT A FUNCTION

Similar Resources on Wayground

STATE Test Review #1

132 questions

STATE Test Review #1

quiz

Worksheet

•

6th - 8th Grade

Visual Thinking

125 questions

Visual Thinking

quiz

Worksheet

•

6th - 12th Grade

AlgOne - Basic Stats

129 questions

AlgOne - Basic Stats

quiz

Worksheet

•

8th - 12th Grade

Extra Mile #10

131 questions

Extra Mile #10

quiz

Worksheet

•

8th Grade

Propiedad distributiva y factorización

126 questions

Propiedad distributiva y factorización

quiz

Worksheet

•

8th Grade

Geometry Scramble Review

123 questions

Geometry Scramble Review

quiz

Worksheet

•

4th - 12th Grade

Volume Set Up

133 questions

Volume Set Up

quiz

Worksheet

•

7th - 9th Grade

8th grade MAD and scatterplots test review

130 questions

8th grade MAD and scatterplots test review

quiz

Worksheet

•

8th Grade