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Lessons 4-1 to 4-3 Linear & Nonlinear Functions

Total questions: 85

Worksheet time: 21hrs 15mins

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 the graph pictured a linear or nonlinear function?
a)
Linear
b)
Nonlinear
4.
Is the table linear or nonlinear?
a)
Linear
b)
Nonlinear
5.
Is the function Linear or Nonlinear?
a)
Linear
b)
Nonlinear
6.
The table represents a function. Is it linear or non-linear?
a)
Linear
b)
Nonlinear
7.
Is the function linear or nonlinear?
a)
Linear Function
b)
Nonlinear Function
8.
Is the function Linear or Nonlinear?
a)
Linear
b)
Nonlinear
9.
Determine if the graph is linear or nonlinear.
a)
Linear
b)
Nonlinear
10.
Is the function Linear or Nonlinear?
a)
Linear
b)
Nonlinear
11.
a)
A
b)
B
c)
C
d)
D
12.
Is this function linear or nonlinear?
a)
Linear
b)
Nonlinear
13.
Is this function linear or nonlinear?
a)
Linear
b)
Nonlinear
14.

LINEAR or NONLINEAR?

a)

linear

b)

nonlinear

15.

LINEAR or NONLINEAR?


y = 4x + 6

a)

linear

b)

nonlinear

16.

LINEAR or NONLINEAR?


y = 7x3 + 5

a)

linear

b)

nonlinear

17.
Is the function linear or nonlinear?
a)
Linear
b)
Nonlinear
18.
Is the function linear or nonlinear?
y = 2/x + 3
a)
Linear
b)
Nonlinear
19.

Which equation represents y as a linear function of x?

a)

y=8x

b)

x=5

c)

y=4x2

d)

y=x3

20.

Which equations describe a nonlinear function? Select all that apply.

a)

x - 3y=12

b)

y=x3

c)

3y=x

d)

y=5x2+6x

e)

4x+3y2=24

21.

Which equations represents y as a linear function of x?

a)

y=x3

b)

y=9x

c)

x=5

d)

y=x

22.

Which equations represent nonlinear functions? Select all that apply.

a)

y= 3x-4

b)

y=9x2+7x

c)

y=x

d)

y=2x3

e)

2x2=y+4

23.
From the table, is the function Linear or Nonlinear?
a)
Linear
b)
Nonlinear
24.
The table represents a function. Is it linear or non-linear?
a)
Linear
b)
Nonlinear
25.
Is function represented by the table linear or nonlinear?
a)
linear
b)
nonlinear
26.
Which function is linear?
a)
y = 2x + 4
b)
y = 2x2 + 4
c)
y = 2x(4 − 3x)
d)
xy = 15
27.
Is the function Linear or Nonlinear?
a)
Linear
b)
Nonlinear
28.
Is this function linear or nonlinear?
a)
Linear
b)
Nonlinear
29.
Is the table linear or nonlinear?
a)
Linear
b)
Nonlinear
30.
Is the function Linear or Nonlinear?
a)
Linear
b)
Nonlinear
31.

Tree A is 5 feet tall and grows at a rate of 1.5 feet per year. The table shows the height h (in feet) of Tree B after x years.

Does the table represent a linear or nonlinear function?

a)

nonlinear; when graphing the points, they do not lie on a line

b)

linear; it is in a table

c)

nonlinear; it is in a table

d)

linear; when graphing points, they lie on a line

32.

Tree A is 5 feet tall and grows at a rate of 1.5 feet per year. The table shows the height h (in feet) of Tree B after x years.

Which tree is taller after 10 years?

a)

The same

b)

The same but in green

c)

Tree B; after ten years, Tree A=20 ft and Tree B=23 ft

d)

Tree A; after ten years, Tree A=24 ft and Tree B=20 ft

33.
Is the function Linear or Nonlinear?
a)
Linear
b)
Nonlinear
34.
Is this function linear or nonlinear?
a)
Linear
b)
Nonlinear
35.
Is the function Linear or Nonlinear?
a)
Linear
b)
Nonlinear
36.
Is the function Linear or Nonlinear?
a)
Linear
b)
Nonlinear
37.
Is the function linear or nonlinear?
a)
Linear
b)
Nonlinear
38.
Is the function linear or nonlinear?
a)
Linear
b)
Nonlinear
39.
Is the function linear or nonlinear?
a)
Linear
b)
Nonlinear
40.
Is the function linear or nonlinear?
a)
Linear
b)
Nonlinear
41.
Is the function linear or nonlinear?
y = x2 + 7
a)
Linear
b)
Nonlinear
42.

Is the function linear or nonlinear?

y = 6x + 4

a)

Linear

b)

Nonlinear

43.
Is the function linear or nonlinear?
y = ⅓ x
a)
Linear
b)
Nonlinear
44.
Is the function linear or nonlinear?
y =  2
a)
Linear
b)
Nonlinear
45.
Is the function linear or nonlinear?
y = -x
a)
Linear
b)
Nonlinear
46.
Is the function linear or nonlinear?
y = 3x2 - 4x + 2
a)
Linear
b)
Nonlinear
47.
Is the function linear or nonlinear?
y = -4x + 5
a)
Linear
b)
Nonlinear
48.
Is the function linear or nonlinear?
y = -3
a)
Linear
b)
Nonlinear
49.
Is the function linear or nonlinear?
y = 2x3 + 1
a)
Linear
b)
Nonlinear
50.

Which of the following best represents the relationship of the table?

a)

y = -4x + 2

b)

y = -5x + 2

c)

y = -5x + 6

d)

y = -4x - 4

51.
What is the Pattern?
a)
The next term will have 16 blocks
b)
The next term will have 15 blocks.
c)
The next term will have 14 blocks.
d)
This is the end of the pattern.
52.

What is the equation for the function

a)

y = 2x

b)

y= 1/2 x

c)

y = 8 (1/2)x

d)

y = 8 (2)x

53.

What is the equation for the function

a)

y = 2x+3

b)

an = 3 (.5)n-1

c)

an = 3 (2)n-1

d)

an = 1.5 (2)n-1

54.
The equation for this table is 
a)
y = 1(2x)
b)
y = 1(12x)
c)
y = 12x
d)
y = 12x + 1
55.

Des Moines is having a blizzard. It has already snowed 1 inch and the total with double each hour. Write an equation.

a)

y=1(2)x

b)

y=1(1/2)x

c)

y=2(1/2)x

d)

y=2(2)x

56.

How many of thebluesquares will be in the 5th design?

a)

9

b)

12

c)

16

d)

25

57.

Write the equation that represents the pattern. (Make a table if it helps)

a)

y=4x+4

b)

y=4x+1

c)

y=4x

d)

y=8x+4

58.
a)
multiply by 4
b)
divide by 4
c)
add 30
d)
subtract 6
59.
a)
add and divide
b)
multiply by 10
c)
divide by 3
d)
divide by 10
60.
a)
divide by 3
b)
add 18
c)
multiply by 10, subtract 3
d)
multiply by 3
61.

8. Determine the graph which best illustrates the story.

A train pulls into a station and lets off its passengers

a)

a

b)

b

c)

c

d)

d

62.
What is happening in this graph from point B to C?
a)
The object is going down a hill.
b)
The object is returning to its starting location.
c)
The object is slowing down.
d)
The object is staying still.
63.
Between 4th and 8th seconds the helicopter's speed is .....................
a)
Increasing
b)
Decreasing
c)
stationary
64.
What is the total distance covered by 2 pm?
a)
40 miles
b)
30 miles
c)
60 miles
d)
10 miles
65.
A driver stopped her car for a traffic light. After waiting for the light to turn green, the driver continued on her way. 
a)
A
b)
B
c)
C
d)
D
66.
A person parachutes from an airplane, free-falls for a while, opens her chute, slows down, and lands on the ground.
a)
A
b)
B
c)
C
d)
D
67.
A child climbs up a slide and then slides down.
a)
A
b)
B
c)
C
d)
D
68.
A girl takes a ride on a ferris wheel. 
a)
A
b)
B
c)
C
d)
D
69.
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
70.
Between which seconds is the line STAYING THE SAME?
a)
Between 7 and 12 seconds
b)
Between 0 and 4 seconds
c)
Between 1 and 5 seconds
d)
Between 12 and 13.5 seconds
71.
Which graph shows the object standing still?
a)
A
b)
B
c)
C
d)
D
72.
Write an equation for this situation.
D = every day
C = total cost
a)
D=$19.25C
b)
D=$19C
c)
C=$19.25D
d)
C=$19D
73.
Is this function linear or nonlinear?
a)
Linear
b)
Nonlinear
74.

Which runner won the race if the race was 40 meters in length?

a)

Albert

b)

Bob

c)

Charlie

75.

Which runner was fastest between 80 and 100 meters?

a)

Albert

b)

Bob

c)

Charlie

d)

Albert and Bob appeared to run at about the same rate

e)

Bob and Charlie appeared to run at about the same rate

76.

Which of the following equations matches the table shown?

a)

y = 7.5x2 + 20

b)

y = -15x + 20

c)

y = 15x + 20

d)

y = 7.5x + 20

77.
How many cubes would be in the next shape?
a)
15
b)
16
c)
17
d)
18
78.
Find the function rule:
a)
f(x) = 4x + 3
b)
f(x) = 4x + 8
c)
f(x) = 4x
d)
f(x) = 4x + 7
79.
Find the function rule:
a)
f(x) = x + 1
b)
f(x) = 2x - 1
c)
f(x) = x - 1
d)
f(x) = -x + 1
80.
Find the function rule:
a)
f(x) = 8x + 20
b)
f(x) = x + 20
c)
f(x) = x + 33
d)
f(x) = 8x + 33
81.
Find the function rule:
a)
f(x) = x + 11
b)
f(x) = 11x
c)
f(x) = x - 11
d)
f(x) = 11x = 1
82.
Find the function rule: 
a)
f(x) = 3x
b)
f(x) = 3x + 1
c)
f(x) = x + 3
d)
f(x) = 3x + 5
83.
Find the missing value when x = 10.
a)
26
b)
62
c)
10
d)
100
84.

For the pattern below, identify the repeated operation used to find the next terms:


8, 17, 26, 35, 44, ...

a)

+8

b)

+9

c)

+53

d)

-8

85.

For the pattern below, identify the repeated operation used to find the next terms:


26, 24, 22, 20, 18, ...

a)

+26

b)

+2

c)

-2

d)

-26

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