wayground logo

Free Printable Worksheets

Font size

S
M
L
XL
Worksheets

Unit 2 Review

Total questions: 108

Worksheet time: 5hrs 30mins

Name
Class
Date
1.

What variable typically represents the domain?

a)

x

b)

y

2.

What variable typically represents the range?

a)

x

b)

y

3.

What is the domain?

a)

{0, 1, 2, 15}

b)

(0, 1, 2, 3}

c)

{3, 7, 11, 15}

d)

{3, 7, 11, 3}

4.

What is the range?

a)

{0, 1, 2, 15}

b)

(0, 1, 2, 3}

c)

{3, 7, 11, 15}

d)

{3, 7, 11, 3}

5.

What is the domain?

a)

{5, 10, 15}

b)

{(5,2), (5,4), (10,6), (15,8)}

c)

{2, 4, 6, 8}

d)

{5, 2, 4, 10, 15}

6.

What is the range?

a)

{5, 10, 15}

b)

{(5,2), (5,4), (10,6), (15,8)}

c)

{2, 4, 6, 8}

d)

{5, 2, 4, 10, 15}

7.

What is the domain?

a)

{3, 4}

b)

{1, 2, 3}

c)

{1, 2, 3, 4}

d)

{1, 3}

8.

What is the range?

a)

{3, 4}

b)

{1, 2, 3}

c)

{1, 2, 3, 4}

d)

{1, 3}

9.

The set of all the inputs of a relation are called _____.

a)

domain

b)

range

10.

The set of all the outputs of a relation are called _____.

a)

domain

b)

range

11.

What is a test that is used to check if the graph is function or not?

a)

Multiple Choice

b)

Vertical Line Test

c)

Horizontal Line Test

d)

None of the above

12.

 

Is this graph a function or not a function? 

a)

Function

b)

Non Function

13.

 

Is this graph a function or not a function? 

a)

Function

b)

Non Function

14.

Is this set of ordered pairs a function or not a function? 

{(9,2) (-3,2) (9,0) (2,2) (1,2)}

a)

Function

b)

Non-Function

15.

Is this set of ordered pairs a function or not a function? 

{(2,3) (1,3) (4,3) (7,3) (0,3)}

a)

Function

b)

Non Function

16.

a)

Function

b)

Not a Function

17.
Is this mapping a function or not a function? 
a)
Function
b)
Not a Function
18.

Is this mapping diagram a function or not a function?

a)

Function

b)

Not a Function

19.

y=x-6

What is the missing number?

a)

12

b)

10

c)

14

d)

13

20.

If my function rule is 4x, what is the OUTPUT if the input is 5?

a)

45

b)

54

c)

9

d)

20

21.

If my function rule is 2x + 1, what is the OUTPUT if the input is 2?

a)

5

b)

4

c)

22

d)

23

22.

If my function rule is x + 8, what is my INPUT if the output is 20?

a)

10

b)

12

c)

8

d)

28

23.

Level 1 Find the missing OUTPUT value.

a)

8

b)

-2

c)

2

d)

-8

24.

Find the missing OUTPUT value.

a)

-2

b)

3

c)

9

d)

-7

25.

What is the rule in this table?

a)

Multiply the number of days by 7 and add 1

b)

Add 7 to the number of days

c)

Multiply the number of days by 4 and add 4

d)

Add 13 to the number of days

26.

Select the equation that represents the data shown in the table.

a)

y=x-6

b)

y=x+3

c)

y=x-3

d)

y=x+6

27.

Look at the graphed line.

Which function table matches the line graphed.

a)
b)
c)
28.

Which function table matches the line graphed.

a)
b)
c)
29.
Is the function linear or nonlinear?
a)
Linear
b)
Nonlinear
30.
Is the function linear or nonlinear?
a)
Linear
b)
Nonlinear
31.
Is the function linear or nonlinear?
a)
Linear
b)
Nonlinear
32.
Is the function linear or nonlinear?
a)
Linear
b)
Nonlinear
33.
Is the function linear or nonlinear?
a)
Linear
b)
Nonlinear
34.
Is the function linear or nonlinear?
y = x2 + 7
a)
Linear
b)
Nonlinear
35.

Is the function linear or nonlinear?

y = 6x + 4

a)

Linear

b)

Nonlinear

36.
Is the function linear or nonlinear?
y = ⅓ x
a)
Linear
b)
Nonlinear
37.
Is the function linear or nonlinear?
y = 2/x + 3
a)
Linear
b)
Nonlinear
38.
Is the function linear or nonlinear?
y =  2
a)
Linear
b)
Nonlinear
39.

In order to join an online learning community, there is a $20 startup fee and a $5 monthly fee. Write an equation in slope-intercept form that models this situation.

a)

y = 20x + 5

b)

y = 5x +20

40.

Suppose that a bike rents for $4 plus $1.50 per hour. Write an equation in slope-intercept form that models this situation.

a)

y = 4x + 1.50

b)

y = 1.50x + 4

41.
An airplane 30,000 feet above the ground begins descending at a rate of 2,000 feet per minute.  Use your equation to find the altitude of the plane after 5 minutes.
a)
20,000 feet after 5 minutes
b)
40,000 feet after 5 minutes
c)
148,000 feet after 5 minutes
42.
Suppose that the water level of a river is 34 feet and that it is receding at a rate of 0.5 foot per day. Write an equation for the water level, L, after d days. 
a)
L = 34 - 0.5(d)
b)
L = 34(d) - 0.5
c)
d = 34 - 0.5(L)
43.
For babysitting, Nicole charges a flat fee of $3, plus $5 per hour. Write an equation for the cost, C, after h hours of babysitting. 
a)
C = 5h + 3
b)
C = 3h + 5
c)
H = 5c + 3
d)
H = 3c + 5
44.
For babysitting, Nicole charges a flat fee of $3, plus $5 per hour. Write an equation for the cost, C, after h hours of babysitting. How much money will she make if she baby-sits 5 hours?
a)
$28 in 5 hours
b)
$20 in 5 hours
45.
A plumber charges $25 for a service call plus $50 per hour of service. Write an equation in slope-intercept form for the cost, C, after h hours of service. 
a)
C = 25 + 50h
b)
C = 50 + 25h
c)
H = 25 + 50c
d)
H = 50 + 25c
46.

What type of relationship is a direct variation.

a)

proportional

b)

non-proportional

47.

What does "k" stand for in the direct variation equation?

a)

constant of equality

b)

constant of proportionality

c)

constant of non-proportionality

48.

What is another name for constant of proportionality?

a)

constant of non-proportionality

b)

constant of equality

c)

constant of variation

49.

Which of the following is the equation format for direct variation?

a)

y = mx + b

b)

y = kx

c)

k = yx\frac{y}{x}  

50.

The phrase "y varies directly with x" means a relationship is a direct variation.

a)

True

b)

False

51.

Is the relationship in the table a direct variation?

a)

Yes

b)

No

52.

Is the relationship in the table a direct variation?

a)

Yes

b)

No

53.

Determine if there is a constant of proportionality, k.

If there is a k, what is it?

a)

There is no k

b)

k = 18\frac{1}{8}  

c)

k = 8

54.

What is the equation for the given relationship in the table?

a)

y = 8xy\ =\ 8x  

b)

y = 18x\frac{1}{8}x  

c)

y = 8x + 3y\ =\ 8x\ +\ 3  

d)

y = 18x + 3y\ =\ \frac{1}{8}x\ +\ 3  

55.

Does the graph show a direct variation?

a)

Yes

b)

No

56.

What is the equation for the given graph?

a)

y = 130xy\ =\ \frac{1}{30}x  

b)

y = 30xy\ =\ 30x  

57.

Does the given graph show a direct variation?

a)

Yes

b)

No

58.

What is the equation for the given graph?

a)

y = 160xy\ =\ \frac{1}{60}x  

b)

y = 60xy\ =\ 60x  

59.

Does the given graph show a direct variation?

a)

Yes

b)

No

60.

The amount a store earns varies directly as the number of hours. A local store takes in $11,500 in a 4 hour period. Estimate how many hours it would take the store to earn $23,000

a)

2 hours

b)

8 hours

c)

11,504 hours

d)

66,125,000 hours

61.

Do x and y show direct variation?


y = 2x + 3

a)

Yes

b)

No

62.

Do x and y show direct variation?

y = 5x

a)

Yes

b)

No

63.
What does the "b" stand for in y=mx+b?
a)
slope
b)
x-intercept
c)
y-intercept
64.
Give the equation for the graph
a)
y = 5x - 3
b)
y = 4x + 2
c)
y =-2x + 5
d)
y = - 2x + 4
65.
What letter represents the slope of a line in the equation y = mx + b?
a)
y
b)
m
c)
x
d)
b
66.
What is the equation of this line?
a)
0
b)
undefined 
c)
y = -2
d)
x = -2
67.
What is the equation of the line that has a slope of 5 and goes through the point (2,7)?
a)
y = 5x + 3
b)
y = 1/5x - 3
c)
y = 1/5x + 3
d)
y = 5x - 3
68.
What is the equation of the line in the graph?
a)
y = 3
b)
x = 3
c)
x = 0
69.
What is the equation for the line that passes through the points (4,2) and (0,6)?
a)
y = x + 6
b)
y = -2x + 2
c)
y = -x - 6
d)
y = -x + 6
70.
Given the table, write the equation in the slope-intercept form.
a)
y = 1/3x + 6
b)
y = 3x + 6
c)
y = 2x + 6
d)
y = 1/2x + 6
71.

Bob has $150 in his savings account and saves $40 per month.

a)

y=150 + 40

b)

y=40x + 150

c)

y=150x + 40

72.

Which equation best represents the relationship between x and y in the table shown?

a)

y= 5x+5

b)

y=1/5x+5

c)

y=15x+5

d)

y=10x+5

73.
Which equation represents the following graph?
a)
y = 3x + 2
b)
y = -2x + 3
c)
y = 2x + 3
d)
y = -3x + 2
74.
A fitness club opens with 80 members. Each month the membership increases by 15 members. Which equation represents the relationship between the number of months the club has been opened, x, and the total fitness club membership, y?
a)
y=15x
b)
y=15x+80
c)
y=x+15
d)
y=80x+15
75.
Write the equation of the line that goes through (-4, 1) and ( 2, 13) in slope-intercept form.
a)
y - 13 = 2(x - 2)
b)
y = 2x + 9
c)
y - 1 = -2(x + 4)
d)
y = -1/2x - 1
76.
What is the equation for the line with a slope of 7 and passes through (0,1)?
a)
y = -7x + 1
b)
y = 7x + 1
c)
y = -1/7x - 1
d)
y = -1/7x + 1
77.

Which function best represents this linear relationship?

a)

y=2x6y=2x-6  

b)

y=6x2y=6x-2  

c)

y=2x+6y=2x+6  

d)

y=2x6y=-2x-6  

78.

Write an equation that has a slope of 23\frac{2}{3}  and goes through point (6,5)\left(-6,-5\right)  .

a)

f(x)=32x1f\left(x\right)=\frac{3}{2}x-1  

b)

f(x)=23x+5f\left(x\right)=\frac{2}{3}x+5  

c)

f(x)=23x1f\left(x\right)=\frac{2}{3}x-1  

d)

f(x)=23x1f\left(x\right)=-\frac{2}{3}x-1  

79.

Elena bought an app for $3.00 and spends $1.50 every time she wants to buy an extra bundle of point within the app. Write an equation for the sentence above.

a)

y=32x+3y=\frac{3}{2}x+3  

b)

y=3x+1.5y=3x+1.5  

c)

y=.15x+3y=.15x+3  

d)

y=23x+3y=\frac{2}{3}x+3  

80.

Write an equation that has the slope of -4 and goes through the point (3,7)\left(-3,7\right)  . 

a)

f(x)=4x3f\left(x\right)=-4x-3  

b)

f(x)=4x5f\left(x\right)=-4x-5  

c)

f(x)=14x5f\left(x\right)=-\frac{1}{4}x-5  

d)

f(x)=4x5f\left(x\right)=4x-5  

81.

Which function best represents this linear relationship? 

a)

y=34x5y=\frac{3}{4}x-5  

b)

y=43x5y=\frac{4}{3}x-5  

c)

y=5x43y=-5x-\frac{4}{3}  

d)

y=43x5y=-\frac{4}{3}x-5  

82.

(0,4)\left(0,-4\right)   and (5, 3.5)\left(5,\ 3.5\right)  

a)

y=32x+4y=\frac{3}{2}x+4  

b)

y=32x4y=\frac{3}{2}x-4  

c)

y=32x+4y=-\frac{3}{2}x+4  

d)

y=23x4y=\frac{2}{3}x-4  

83.

Which function best represents this linear relationship?

a)

y=3.5x2y=3.5x-2  

b)

y=2x+3.5y=-2x+3.5  

c)

y=3.5x+2y=3.5x+2  

d)

y=2x+3.5y=2x+3.5  

84.

A tank contains 20 gallons of gasoline. Two gallons are drained out of the tank every half minute. Write a function that describes the sentence above.

a)

f(x)=220xf\left(x\right)=2-20x  

b)

f(x)=202xf\left(x\right)=20-2x  

c)

f(x)=20+2xf\left(x\right)=20+2x  

d)

f(x)=202xf\left(x\right)=-20-2x  

85.

Which function best represents the graph?

a)

f(x)=12x+32f\left(x\right)=\frac{1}{2}x+\frac{3}{2}  

b)

f(x)=12x4f\left(x\right)=\frac{1}{2}x-4  

c)

f(x)=x+32f\left(x\right)=x+\frac{3}{2}  

d)

f(x)=4x+1.5f\left(x\right)=-4x+1.5  

86.

Write an equation from the table.

a)

2x+y=12x+y=1  

b)

2x+y=1-2x+y=1  

c)

2xy=12x-y=1  

d)

2x+y=12x+y=-1  

87.

Write an equation that represents the graph shown.

a)

y= 4x+23y=\ -4x+\frac{2}{3}  

b)

y=23x+6y=\frac{2}{3}x+6  

c)

y=23x4y=-\frac{2}{3}x-4  

d)

y=23x4y=\frac{2}{3}x-4  

88.

A plant is 3.5 inches tall. It grows 12\frac{1}{2}  an inch every week. Which equation best matches the sentence above.

a)

y=0.5x3.5y=0.5x-3.5  

b)

y=0.5x+3.5y=0.5x+3.5  

c)

y=0.5x+3.5y=-0.5x+3.5  

d)

y=3.5x+0.5y=3.5x+0.5  

89.

From the equation: y = -2x +6 what is the slope of the line?

a)

y

b)

6

c)

x

d)

-2

90.

From the equation: y = -2x+6 what is the y-intercept of the line?

a)

y

b)

6

c)

x

d)

-2

91.

What is the y-intercept?

a)

(5, 0)

b)

(-5, 0)

c)

(0, 5)

d)

(0, -5)

92.
Which is the graph of y= -x + 2?
a)
A
b)
B
c)
C
d)
D
93.
#4 Which graph is correct for y = -¾x + 1?
a)
A
b)
B
94.

Which graph represents the equation y=4x1y=4x-1  

a)
b)
c)
d)
95.
Write the equation for the line in slope-intercept form.
a)
y= -1x+3
b)
y= 4x+3
c)
y=1/4x+3
d)
y= -4x+3
96.

Which equation represents this graph?

a)

y=15x+3y=\frac{1}{5}x+3

b)

y=5x3y=-5x-3

c)

y=5x+3y=5x+3

d)

y=3x+0.5y=-3x+0.5

97.
Give the equation for the graph
a)
y = 5x - 3
b)
y = 4x + 2
c)
y =-2x + 5
d)
y = - 2x + 4
98.

Which of the following equations may be used to generate the graph shown?

a)

y = 72x  2y\ =\ \frac{7}{2}x\ -\ 2  

b)

y = 72x + 2y\ =\ \frac{7}{2}x\ +\ 2  

c)

y = 15x  2y\ =\ \frac{1}{5}x\ -\ 2  

d)

y = 72x  2y\ =\ -\frac{7}{2}x\ -\ 2  

99.
a)

y = 43x4y\ =\ \frac{4}{3}x-4  

b)

y = 43x+4y\ =\ \frac{4}{3}x+4  

c)

y = 43x+3y\ =\ \frac{4}{3}x+3  

d)

y = 43x  3y\ =\ -\frac{4}{3}x\ -\ 3  

100.
Which of these lines has a slope of -3?
a)
A
b)
B
c)
C
d)
D
101.

Which graph represents the equation y=4x1y=4x-1  

a)
b)
c)
d)
102.
In the following equation, what is the y-intercept?  
y = -3x + 7
a)
-3
b)
7
c)
-3/7
d)
3
103.
The point where the line crosses the y-axis is called the:
a)
origin
b)
x-intercept
c)
y-intercept
d)
slope
104.
#7 Which graph is correct for y = x - 4?
a)
A
b)
B
105.
#6 Which graph is correct for y = -2x +4?
a)
A
b)
B
106.
Which is the graph of y=-x+2?
a)
A
b)
B
c)
C
d)
D
107.
#4 Which graph is correct for y = -¾x + 1?
a)
A
b)
B
108.
#9 Which graph is correct for y = 4x?
a)
A
b)
B