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Worksheets

Linear Functions vs Nonlinear Functions

Total questions: 60

Worksheet time: 1hrs 24mins

Name
Class
Date
1.
Is this function linear or nonlinear?
a)
Linear
b)
Nonlinear
2.
Is this function linear or nonlinear?
a)
Linear
b)
Nonlinear
3.
Is this  graph a function?
a)
Function
b)
Not a Function
4.
Is the graph pictured a function?
a)
Yes
b)
No
5.
Is this function linear or nonlinear?
a)
Linear
b)
Nonlinear
6.
Is this graph a function or not a function? 
a)
Function
b)
Not a Function
7.
Is the equation linear or nonlinear?
a)
Linear
b)
Nonlinear
8.
Is the equation linear or nonlinear?
a)
Linear
b)
Nonlinear
9.
Is the table linear or nonlinear?
a)
Linear
b)
Nonlinear
10.
Is this function linear or nonlinear?
a)
Linear
b)
Nonlinear
11.
Find the slope of this line.
a)
m = 11
b)
m = 1
c)
m = 2
12.
Which of the function(s) above are linear?
a)
Function I, only
b)
Function II, only
c)
Function I and Function II, only
d)
Function I, Function II, and Function III
13.
Find the slope of this line.
a)
m = 11
b)
m = 1
c)
m = 2
14.

Which table(s) are nonlinear?

a)

Table 2, only

b)

Tables 2 and 3, only

c)

Tables 1 and 2, only

d)

Tables 2 and 4, only

15.
Which of the function(s) above are linear?
a)
Function I, only
b)
Function II, only
c)
Function I and Function II, only
d)
Function I, Function II, and Function III
16.
Which equations represent linear functions?
a)
Equations 1 and 2, only
b)
Equations 1 and 4, only
c)
Equations 2 and 3, only
d)
Equations 1, 3, and 4, only
17.
Which answer choice is true?
a)
The table represents a linear function because there is a pattern for the x-coordinates and y-coordinates.
b)
The table represents a linear function because the ratio of the change in the y value and the change in the x value is constant.
c)
The table represents a nonlinear function because the ratio of the change in the y value and the change in the x value is not constant.
d)
The table does not represent a function because there is more than one output for at least one input.
18.
Which graph(s) show nonlinear functions?
a)
Graph I, only
b)
Graph II, only
c)
Graph I and Graph II, only.
d)
Graph I, Graph II, and Graph III
19.

Which equation represents y as a linear function of x?

a)

y=8x

b)

x=5

c)

y=4x2

d)

y=x3

20.
Is the function Linear or Nonlinear?
a)
Linear
b)
Nonlinear
21.
Is the function Linear or Nonlinear?
a)
Linear
b)
Nonlinear
22.
Is the function Linear or Nonlinear?
a)
Linear
b)
Nonlinear
23.
Which graph is linear?
a)
Graph A
b)
Graph B
c)
Graph C
d)
Graph D
24.
Is function represented by the table linear or nonlinear?
a)
linear
b)
nonlinear
25.
A holiday meal costs $12.50 a person plus a delivery fee of $30.
a)
30 + 12.5x 
b)
12.5 + 30
c)
12.5 + 30x
26.
Easy Car Rental charges $8.50 an hour plus a rental fee of $25.50.
a)
8.5 + 25.5
b)
25.5 + 8.5x
c)
8.5 + 25.5x
27.
Which graph does NOT pass the vertical line test? A vertical line should only touch one point at a time, if it is a function.
a)
Graph 1
b)
Graph 2
c)
Graph 3
d)
Graph 4
28.
All of the x values or inputs are called what?
a)
Domain
b)
Range
c)
Relation
d)
Dependent variable
29.
Is the relation a function? Why.
a)
Yes, because the x-value 11 has two y-values pair with it.
b)
Yes, because each x-value has only one y-value paired with it.
c)
No, because the x-value 11 has two y-values pair with it.
d)
No, because each x-value has only one y-value paired with it.
30.
a)
This is a Function
b)
This is Not a Function
31.
a)
A
b)
B
c)
C
d)
D
32.
a)
Function
b)
Not a Function
33.
Is function represented by the table linear or nonlinear?
a)
linear
b)
nonlinear
34.
Is function represented by the table linear or nonlinear?
a)
linear
b)
nonlinear
35.
Linear of Non-linear?
a)
Linear
b)
Nonlinear
36.
Is the equation linear or nonlinear?
a)
Linear
b)
Nonlinear
37.
Is the function Linear or Nonlinear?
a)
Linear
b)
Nonlinear
38.
Find the rate of change
a)
1
b)
2
c)
11
d)
Not a constant slope/Non-Linear
39.
Sonia has $40 in her lunch account and pays $2 each day to eat lunch.
a)
Linear
b)
Non-linear
40.
The amount of minions under Gru's care triples every day.
a)
linear
b)
nonlinear
41.
A holiday meal costs $12.50 a person plus a delivery fee of $30.
a)
Linear
b)
Non-Linear
42.
Ted runs 1 block, then 2 blocks, then 4 blocks, then 8 blocks.
a)
Linear
b)
Nonlinear
43.

Linear Functions have a constant pattern of

a)

multiplying or dividing by the same number

b)

adding or subtracting the same number

c)

all numbers are the same

d)

nothing changes

44.
Which equation represents the following graph?
a)
y = 3x + 2
b)
y = -2x + 3
c)
y = 2x + 3
d)
y = -3x + 2
45.

What is the y-intercept in the equation?

y = 5x - 4

a)

(0,5)

b)

(0,-4)

c)

(-4,0)

d)

(5,0)

46.
Which is the graph of y=-x+2?
a)
A
b)
B
c)
C
d)
D
47.
What is the y-intercept?
a)
7
b)
0
c)
1
d)
2
48.
Find slope:
a)
m= 4
b)
m=1/4
c)
m=-4
d)
m=-1/4
49.
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
50.
Which company shows a greater rate of change?
a)
Water's Edge Rafts
b)
Ryan's Rafts
51.
Which panda was heavier when they were born?
a)
Mochi
b)
Kappa
c)
Po the dragon warrior
d)
Jack Black
52.
Which panda is growing faster?
a)
Mochi
b)
Kappa
c)
Po the dragon warrior
d)
Jack Black
53.
Which panda will weigh more at 5 weeks?
a)
Mochi
b)
Kappa
c)
Po the dragon warrior
d)
Jack Black
54.
Which company pays the best pay per shift?
a)
Bombinoe's Pizza
b)
Little Squeezer's Pizza
c)
Pizza Tent
d)
Papa Ron's 
55.
Which company pays the most per pizza?
a)
Bombinoe's Pizza
b)
Little Squeezer's Pizza
c)
Pizza Tent
d)
Papa Ron's 
56.
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
57.
What is the rate of change (slope) to rent a raft from Water's Edge Rafts?
a)
$6 per hour
b)
$5 per hour
c)
$1 for 6 hours
d)
$1 for 5 hours
58.
Which company shows a greater rate of change?
a)
Water's Edge Rafts
b)
Ryan's Rafts
59.
Which company should you use if you rent the raft for 9 hours?
a)
Water's Edge Rafts
b)
Ryan's Rafts
60.
Compare the rates of change. Which statement is true about functions A and B?
a)
They have the same rate of change
b)
A has a greater rate of change than B
c)
A and B both have negative rates of change
d)
A has a negative ROC and B has a positive ROC