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Chapter 4 Test Practice

Total questions: 75

Worksheet time: 3hrs 55mins

Name
Class
Date
1.

What does linear mean?

a)

It will form a line

b)

It discovers your lineage

c)

I'm not sure

d)

It will create a shape

2.

Which points would be located on the line?

a)

(8,0)

b)

(4,1)

c)

(0,8)

d)

(0,2)

3.

Does this graph represent a proportional or non-proportional relationship?

a)

Proportional

b)

Non-Proportional

4.

Which table represents the same linear relationship as y=3x-2?

a)
b)
c)
d)
5.

On the first day of the month, Jane has $500 in her checking account. Each time she buys lunch, she spends $8. If Jane purchases x lunches in a month, how much money will remain in her account, in terms of x?

a)

500-8x

b)

500+8x

c)

8-500x

d)

8+500x

6.

John says that the number y is equal to

5 more than 15 times x. Which of the following equations could be used to find the value of y?

a)

y=5x+15

b)

y=15x+5

c)

y=5x-15

d)

y=15x-5

7.

Which of the following descriptions matches the graph shown below?

a)

initial fee of $100 plus $25 per month

b)

initial fee of $100 plus $50 per month

c)

initial fee of $100 plus $75 per month

d)

initial fee of $25 plus $100 per month

8.

Which equation below represents the relationship shown in the table?

a)

y=x+5

b)

y=x+6

c)

y=2x+5

d)

y=3x+2

9.

Josefina deposited $250 into her savings account. She then saved $40 per month. Which of the following equations shows a, the amount in Josefina’s saving account after t months?

a)

a=250+40t

b)

a=250-40t

c)

a=40+250t

d)

a=40+210t

10.

The graph below shows the temperature of cooling water after it has been taken off a stove. What is the approximate temperature after 4 minutes?

a)

70 degrees

b)

75 degrees

c)

80 degrees

d)

85 degrees

11.
There are 12 pencils in a box.  The equation p = 12b shows how many total pencils, p, there are in any number of boxes, b. The total number of pencils (p) is the:
a)
Independent variable
b)
Dependent variable
12.

Does the graph represent a proportional relationship?

a)

Yes

b)

No

13.

What is k in this proportional relationship?

a)

60

b)

120

c)

1

d)

180

14.
a)
y = -10x
b)
y = -13x
c)
y = -22x 
d)
y = 13x 
15.
a)
y = 8x - 3 
b)
y = 9x -3
c)
y = x - 3
d)
y = 2x - 3 
16.
Write an equation for this relation. 
a)
y = x - 41
b)
y = 11x + 1
c)
y = x + 41
d)
y = 12x - 3
17.
Write the equation for this relation. 
a)
y = -2x
b)
y = x - 4
c)
y = 2x - 5
d)
y = 2x + 4
18.
State the domain of the relation.
a)
{ 8, -6, 2, 0 }
b)
( 8, -6, 2, 0 )
c)
(5, -9, 5, -8)
d)
{ 5, -9, 5, -8 }
19.
State the range of the relation. 
{ (3, -2) , (4, -3), (5, -4), (6, 0) }
a)
(3, -2, 4, -3)
b)
(-2, -3, -4, 0)
c)
{ -2, -3, -4, 0 }
d)
{ 3, 4, 5, 6 }
20.
Evaluate the expression if a = -6, b = 2, and c = -10.
2a2 - c + 4b
a)
-54
b)
80
c)
70
d)
86
21.
The relation that is represented by the equation y = 20 - 2x has the domain {3 , 4, 5, 6}. Which of the following sets is the range of the relation?
a)
{3, 4, 5, 6}
b)
{8, 10, 12, 14}
c)
{12, 13, 14, 15}
d)
{14, 16, 18, 20}
22.
Is this graph a function or not a function? 
a)
Function
b)
Not a Function
23.
Is this table a function or not a function? 
a)
Function
b)
Not a Function
24.
Is this graph a function or not a function? 
a)
Function
b)
Not a Function
25.
a)
Function
b)
Not a Function
26.
Slope is another word for:
a)
Initial Value
b)
Rate of Change
c)
Change in Y's
d)
Y-intercept
27.
Is function represented by the table linear or nonlinear?
a)
linear
b)
nonlinear
28.
Is this function linear or nonlinear?
a)
Linear
b)
Nonlinear
29.
Is this function linear or nonlinear?
a)
Linear
b)
Nonlinear
30.
Is the table linear or nonlinear?
a)
Linear
b)
Nonlinear
31.
Which graph is linear?
a)
Graph A
b)
Graph B
c)
Graph C
d)
Graph D
32.
What is the y-intercept in the following equation:  y=-4x-5
a)
-4
b)
-4x
c)
5
d)
-5
33.
Determine the slope and y-intercept from the following equation:   y = 3/2x + 3
a)
slope: 5   y-intercept:  (0,3) 
b)
slope: 3/2   y-intercept:  (0,3) 
c)
slope:  4  y-intercept:  (0,3/2)
d)
slope: 1/5   y-intercept:  (0,5) 
34.
Find the slope from the table.
a)
-4
b)
1
c)
4
d)
-2
35.
What is the slope of the equation?
y = -3x + 4
a)
-3
b)
4
c)
-4
d)
3
36.
In the equation, y = mx + b, the letter b is the ___________.
a)
y-intercept
b)
x-intercept
c)
slope
d)
rate of change
37.
What is the slope of the equation?
y = -3x + 4
a)
-3
b)
3
c)
4
d)
-4
38.
Which equation is being represented by this line?
a)
y = -1x + 2
b)
y = 1/2x + 2
c)
y = 3x -4
d)
y = -3x +2
39.
Consider the equation:
y=-x+4
Identify the slope and y-intercept.
a)
m=4, b=-x
b)
m=-x, b=4
c)
m=1, b=4
d)
m=-1, b=4
40.
Write the equation for the line in slope-intercept form
a)
 y=-1x+3
b)
y=4x+3
c)
y=¼x+3
d)
y=-4x+3
41.

which of the following is a linear graph?

a)
b)
c)
d)
42.
What type of slope does the following graph have?
a)
Postive
b)
Negative
c)
Zero Slope
d)
Undefined
43.
When you graph a line using slope-intercept form, you plot the  ___________ first and then the ___________.
a)
origin; slope 
b)
slope; y-intercept
c)
y-intercept; x-intercept
d)
y-intercept; slope
44.
What is the y-intercept for the given graph?
a)
-5
b)
5
c)
1
d)
-1
45.
The cost of Nate’s service is described by y = 4x + 6. The table shows the cost of 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
46.
Find the rate of change
a)
1
b)
2
c)
11
d)
Not a constant slope/Non-Linear
47.
Find the rate of change
a)
3
b)
-3
c)
20
d)
Not a constant slope/Non-Linear
48.
What is the initial value in this equation?
y=8x+6
a)
8
b)
6
49.
Tim bought a new phone.  He paid $125 on the day of purchase, then $50 per month until it was paid off. What is the initial value in this situation?
a)
50
b)
125
50.
Tim bought a new phone.  He paid $125 on the day of purchase, then $50 per month until it was paid off. What is the rate of change in this situation?
a)
50
b)
125
51.

Which function has the GREATEST rate of change?

a)
b)
c)
d)
52.

Which function has the GREATEST initial value?

a)
b)
c)
d)
53.

What is a possible scenario for the given table?

a)

You have $8 and get $5 more each day!

b)

You have $16 and get $2 more each day!

c)

You have $2 and get $6 more each day!

d)

You have $6 and get $2 more each day!

54.

What has the GREATER rate of change.

a)

y = 7x + 10

b)

Someone who starts with $6 and gets $8 each day.

c)

y = 5x + 20

d)

Someone who starts with $8 and gets $6 each day.

55.
a)
F
b)
G
c)
H
d)
J
56.

A school wants to rent a cotton candy machine for a fundraiser. There is a deposit to rent it plus an additional $8 per hour. The total cost to rent the machine for 5 hours is $115, Assume the relationship is linear. What is the rate of change. How much is the deposit?

a)

ROC: $8/1 hr; Deposit Fee: $115

b)

ROC 8 hours/$1 Deposit Fee: $5

c)

ROC $8/1 hr Deposit Fee: $75

d)

ROC $5/1 hr; Deposit Fee: $75

57.

The art club collected $15 per member. The amount of money in the account after dues were collected from 17 members was $300. Assume the relationship is linear. Find and interpret the initial value.

a)

The art club had $45 to begin with.

b)

The art club makes $45 per member.

c)

The art club has $300 to start with.

58.

Before a movie began, a theater had people waiting in the seats. During each of 4 movie trailers, 7 more people came into the theater. When the movie started 82 people were in the theater. Assume the relationship is linear. Find and interpret the initial value.

a)

There were 4 movie trailers.

b)

The theater had 7 people to start with

c)

The theater had 54 people to start with.

d)

The theater had 75 people to start with.

59.

The population of DeSoto rose an average of 142 people per year. After 5 years, the population was 5,428 people. Assume the relationship is linear. Find and interpret the rate of change and the initial value.

a)

ROC: The population DECREASED by 142 people per year.

Initial value: There were 5,248 people in the town to start with.

b)

ROC: The population INCREASED by 142 people per year.

Initial value: There were 4,718 people in the town to start with.

c)

ROC: The population INCREASED by 142 people per year.

Initial value: There were 5, 428 people in the town to start with.

60.

Mr. Lewis is having the exterior of his house painted. The painters charge $35 per hour plus the cost of materials. After 20 hours of work, Mr. Lewis owes the painters $840. Assume the relationship is linear. Which statement is TRUE?

a)

The rate of change is $20 per hour.

b)

The cost of the materials is $840.

c)

The $35 rate of change represents the total cost to paint the house

d)

The cost of the materials was $140.

61.

Luka starts out with a certain number of baseball cards and plans to collect 8 each month. At the end of a year, he has 109 baseball cards. Assume the relationship is linear. Which statement is true?

a)

Luka started out with 13 baseball cards.

b)

The rate of change is 12 cards per month.

c)

The initial value represents the number of cards Luka collects each month.

d)

Luka started out with 101 baseball cards.

62.
On a car trip, Theresa kept a record of her gas mileage. She discovered that for every 23 miles, she used 1 gallon of gas. Which of the following equations model this situation?
a)
x=y+23
b)
x=23y
c)
y=x+23
d)
y=23x
63.

The graph shows the speed of Mr. Sam driving to work. Which section shows Mr. Sam stopped in traffic?

a)

a.

b)

b.

c)

g.

d)

d.

e)

f.

64.

Each section of the graph is for 5 minutes. Why does the graph not begin on the y-axis?

a)

Rose did not begin walking away from home and to the park right away.

b)

Rose walked really slowly at the beginning and didn't get very far.

c)

Rose ran at the beginning so fast, it was hard to see her distance from home.

d)

Rose went to a friends house before heading to the park.

65.

Michael owns his own window cleaning business. He is cleaning the windows of a three story building. The graph shows his height from the ground floor while washing windows. Choose the correct words to correctly describe each section of the graph.

Section A has a _____ slope and represents washing windows on the _____ floor.

a)

zero; first

b)

positive; second

c)

negative; third

d)

zero; second

e)

positive; third

66.
a)
F
b)
G
c)
H
d)
I
67.
a)
A
b)
B
c)
C
d)
D
68.
What does this graph represent?
a)
Constant Speed
b)
Acceleration
c)
Not moving
69.
How long did it take this object to travel back to its reference/starting point?
a)
20 s
b)
30 s
c)
60 s
d)
100 s
70.
What does this graph represent?
a)
Constant speed
b)
Acceleration
c)
Not moving
71.
How far is the person from the starting point after 3 seconds?
a)
0 m
b)
2 m 
c)
3 m
d)
6 m 
72.

At what time does the object switch directions?

a)

15 minutes

b)

40 minutes

c)

10 minutes

d)

30 minutes

73.
Is function represented by the table linear or nonlinear?
a)
linear
b)
nonlinear
74.
Is function represented by the table linear or nonlinear?
a)
linear
b)
nonlinear
75.
Is this function linear or nonlinear?
a)
Linear
b)
Nonlinear

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