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Unit 4 CSA Test REVIEW

Total questions: 78

Worksheet time: 5hrs 12mins

Name
Class
Date
1.
The Roaming Cell Phone Company charges $15.00 per month plus $0.20 per minute of airtime usage.  If Juanita uses x minutes of airtime, what is an equation that can be used to determine her monthly cell phone bill (C)?
a)
C = 0.20x + 15
b)
C =15 (0.20x)
c)
C = 15 + x + 0.20
d)
C = 0.20 + 15x
2.

A man is climbing down from 100 feet high descending 30 feet per minute. Which function models his descent?

a)

y = 100 - 30x

b)

y = 100 + 30x

c)

y = 100x + 30

d)

y = 100x - 30

3.

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

4.

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.

5.
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
6.
Which of the following situations could be descried by the equation y= -25x + 120
a)
There are 120 people in the football stadium, and 25 more are entering each hour.
b)
A plumber charges $25 for a house call and $120 per hour.
c)
A teacher has 120 students. Her third period has 25 students
d)
There are 120 gallons of water in a tank. It releases water at a rate of 25 gallons per minute
7.
Which company shows a greater rate of change?
a)
Water's Edge Rafts
b)
Ryan's Rafts
8.
Given the equation y = 2x + 5 , where x is the number of homework questions and y is the number of minutes it takes to do all the homework, what does the y-intercept of the line mean in real world context.
a)
For every homework assignment, it takes 5 more minutes to complete.
b)
For every homework assignment, it takes 2 more minutes to complete.
c)
It initially takes 5 minutes to get homework out and start working.
d)
It initially takes 2 minutes to get homework out and start working.
9.

James has to sell restaurant discount cards as part of a fund raiser for soccer. The equation y = -10x + 500 models his selling where y is the total number of cards and x is the number of days.


Interpret the y-intercept.

a)

James is selling 500 cards over 10 days

b)

James earns $500 for every 10 cards he sells

c)

James is selling 10 cards each day

d)

James starts with 500 cards to sell.

10.

The table represents a used car salesman's monthly salary including commission made on the sale of cars.  What is the y-intercept and what does it represent?

y=425x+1500y=425x+1500

a)

The y-intercept is $850/car and it represents the commission per car sold.

b)

The y-intercept is $1500/car and it represents the commission per car sold.

c)

The y-intercept is $1500 and it represents the monthly salary before commission.

d)

The y-intercept is $2775 and it represents the monthly salary before commission.

11.

The table represents a used car salesman's monthly salary including commission made on the sale of cars.  What is the slope and what does it represent?

y=425x+1500y=425x+1500

a)

The slope is $850/car and it represents the commission per car sold.

b)

The slope is $425/car and it represents the commission per car sold.

c)

The slope is $1500 and it represents the monthly salary before commission.

d)

The slope is $850 and it represents the monthly salary before commission.

12.

A phone salesperson is paid a minimum weekly salary and a commission for each phone sold, as shown in table. What statement best describes the y-intercept?

a)

The salesperson receives a salary of $930 before commissions.

b)

The salesperson receives a salary of $630 before commissions.

c)

The salesperson receives a salary of $480 before commissions.

d)

The salesperson receives a salary of $330 before commissions.

13.

A phone salesperson is paid a minimum weekly salary and a commission for each phone sold, as shown in table. What statement best describes the rate of change?

a)

The salesperson receives a $15 commission for each phone sold.

b)

The salesperson receives a $150 commission for each phone sold.

c)

The salesperson receives a $300 commission for each phone sold.

d)

The salesperson receives a $30 commission for each phone sold.

14.

Write an equation to represent the table shown.

NO SPACES/NO CAPITALS

(a)  

15.

Which statement describes the y-intercept?

a)

At 0 months the account had $250

b)

At 0 months the account had $500

c)

At 0 months the account had $1250

d)

At 0 months the account had $1000

16.

The table shows the prices a photographer charges. What does the y-intercept represent?

a)

There's an initial charge of $30

b)

There's an initial charge of $15

c)

There's a one time fee of $50

d)

There's a one time fee of $25

17.

What is the cost of admission at the carnival?

a)

$1.75

b)

$5.75

c)

$7.50

d)

$9.25

18.

What is the meaning of the y-intercept?

a)

Phil'd Up Doughnuts has a $9 boxing fee

b)

Phil'd Up Doughnuts has a $1 boxing fee

c)

Phil'd Up Doughnuts has a $5 boxing fee

d)

Phil'd Up Doughnuts has a $7 boxing fee

19.

Which statement describes the rate of change of this function?

a)

The price increases $2 per donut

b)

The price increases $4 per donut

c)

The price increases $13 per donut

d)

The price increases $21 per donut

20.
Is function represented by the table linear or nonlinear?
a)
linear
b)
nonlinear
21.
What does this graph represent?
a)

Constantly decreasing

b)

variously decreasing

c)
Not moving
22.
What does this graph represent?
a)

Constant increasing

b)

variously increasing

c)
Not moving
23.
What is happening at D?
a)

variously decreasing

b)

not moving

c)

constantly increasing

d)

variously increasing

e)

constantly decreasing

24.
The distance-time graphs shown represent the motion of a car. Which of the following graphs represents the car at constant speed?
a)
graph A
b)
graph B
c)
graph C
d)
graph D
25.

Which of the following graphs represents a variously increasing graph?

a)
graph A
b)
graph B
c)
graph C
d)
graph D
26.
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.
27.
Describe the situation.
a)

Horsepower increases variously

b)

Horsepower increases constantly

28.

Which of the following is a function?

a)
b)
c)
d)
29.

Is the following a function?

a)

Yes, this is a function.

b)

No, it's not a function.

c)

Can't be determined with this information.

30.

Which of the following is a function?

a)

A

b)

B

c)

C

d)

D

31.

Is the following graph a function?

a)

Yes, because the x never repeats.

b)

Yes, because they are individual dots.

c)

No, because the x repeats.

d)

No, because it is not a line.

32.
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
33.

In y = mx + b, which variable represents the slope?

a)

b

b)

m

c)

x

d)

y

34.

In y = mx + b, which variable represents the y-intercept?

a)

b

b)

m

c)

x

d)

y

35.

When finding the slope from a verbal description, do you identify the 'rate of change' or the 'starting value'?

a)

Rate of Change

b)

Starting Value

36.

When finding the y-intercept from a verbal description, do you identify the 'rate of change' or the 'starting value'?

a)

Rate of Change

b)

Starting Value

37.

3) Which line appears to be a graph of the equation shown?

y = -2x -1

a)
b)
c)
d)
38.
Is the relation a function?
a)
yes, it is a function
b)
no, it is not a function
c)
not enough information to determine
39.
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.
40.

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

a)

Function

b)

Not a Function

41.
Does this mapping diagram represent a function?
a)
No, because there are repeating input values
b)
Yes, because there are no repeating input values
42.

Which graph is NOT a function?

a)

Graph 1

b)

Graph 2

c)

Graph 3

d)

Graph 4

43.

Which function has the greatest rate of change?

a)

y=50+2xy=50+2x

b)

y=75+xy=75+x

c)

y=3xy=3x

d)

y=65xy=6-5x

44.

Is the highlighted section of the graph increasing, decreasing, or no change?

a)

increasing

b)

decreasing

c)

no change (stopped)

45.

The equation and graph below describe two linear functions, Function A (graph) and Function B (y=x-1). Which statement is true?

a)

The slope of Function A is less than the slope of Function B.

b)

The slope of Function A is greater than the slope of Function B.

46.

Which equation represents the table?

a)

y=2x+7y=-2x+7  

b)

y=2x+7y=2x+7  

c)

y=12x+7y=\frac{1}{2}x+7  

d)

y=7x2y=7x-2  

47.

The table shows a relationship between x and y. What is the y-intercept in this relationship? ____


*Remember your y -intercept is the y-coordinate when your x is zero.

a)

-1

b)

7

c)

-7

d)

2

48.

Write the equation that created this table.

a)

y = 3x - 9

b)

y = 3x + 3

c)

y = -3x + 3

d)

y = 6x + 5

49.

Write the equation of the line represented by this table.

a)

y= 3x+5

b)

y = -3x + 5

c)

y= 8x - 1

d)

y = 3x + 14

50.
Is this function linear or nonlinear?
a)
linear function
b)
nonlinear function
51.
What is the y-intercept?
a)
7
b)
0
c)
1
d)
2
52.
a)

y=3x1y=3x-1

b)

y=9x1y=-9x-1

c)

y=13x+2y=\frac{1}{3}x+2

d)

y=13x9y=-\frac{1}{3}x-9

53.
a)

y=4x+1y=4x+1

b)

y=14x3y=\frac{1}{4}x-3

c)

y=x+9y=-x+9

d)

y=3x1y=-3x-1

54.

Is this function represented by the graph Linear or Nonlinear

a)

linear

b)

nonlinear

55.

Is the function represented by the equation linear or nonlinear?

a)

linear

b)

nonlinear

56.

Is the function represented by the equation linear or nonlinear?

a)

linear

b)

nonlinear

57.

Is the function represented by the table linear or nonlinear?

a)

linear

b)

nonlinear

58.
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.
59.

Which equation represents y as a linear function of x?

a)

y=8x

b)

x=5

c)

y=4x2

d)

y=x3

60.

Which equations represents y as a linear function of x?

a)

y=x3

b)

y=9x

c)

x=5

d)

y=x

61.

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

62.
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
63.
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
64.
Is the equation linear or nonlinear?
a)
Linear
b)
Nonlinear
65.
Is the equation linear or nonlinear?
a)
Linear
b)
Nonlinear
66.
a)
F
b)
G
c)
H
d)
J
67.

Determine whether or not the table represents a function.

a)

Yes, it is a function.

b)

No, it is not a function.

68.

Determine whether or not the table represents a function.

a)

Yes, it is a function.

b)

No, it is not a function.

69.

Which kitten grows fastest? What is it's rate of change?

a)

Kitten A with a rate of change of 3

b)

Kitten B with a rate of change of 4

c)

Kitten A with a rate of change of 4

d)

Kitten B with a rate of change of 3

70.
The cost of Patrick’s texting is described by y = 0.03x + 5. The cost of Melanie’s texting is shown in the table. Which service is cheaper when 50 texts are sent or received in one month? 
a)
Patrick’s service would cost $4.50. Melanie’s would cost $10.50. Patrick’s is cheaper.
b)
Patrick’s service would cost $6.50. Melanie’s would cost $12.50. Patrick’s is cheaper.
c)
Patrick’s service would cost $16.50. Melanie’s would cost $12.50. Melanie's is cheaper.
d)
Patrick’s service would cost $12.50. Melanie’s would cost $6.50. Melanie's is cheaper.
71.

Which function has the greatest RATE OF CHANGE?

a)
b)
72.
Which company shows a greater rate of change?
a)
Water's Edge Rafts
b)
Ryan's Rafts
73.

Which pizza place has the best starting salary?

a)

Bombino's

b)

Little Squeezers

c)

Pizza Tent

74.

Leonard compared the cost of purchasing a gallon of gas at two different gas stations.

The function C(g) = 3.25 + 0.07x models the average cost of a gallon of gas at the first gas station after x months. The table below shows the average cost of a gallon of gas at the second gas station after different numbers of months.


Which statement is true?

a)

The first station had a higher initial price per gallon and increased at a greater amount per month than the second station.

b)

The second station had a higher initial price per gallon and increased at a greater amount per month than the first station.

c)

The first station had a higher initial price per gallon but increased at a smaller amount per month than the second station.

d)

The second station had a higher initial price per gallon but increased at a smaller amount per month than the first station.

75.

What is the 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

76.

What is the 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

77.

Janet is planning her sweet sixteen birthday party. She must decide which party coordinator she should use so that she spends the least amount of money possible. Each coordinator charges an initial fee for their services, plus an additional fee depending on the number of guests that attend the party. Each coordinator's rates are shown in the image.

Which coordinator charges the greatest fee per guest?

a)

Coordinator A

b)

Coordinator B

c)

Coordinator C

d)

Coordinator D

78.

Which tree is growing the fastest?

a)

Tree A

b)

Tree B

c)

Tree C