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Worksheets

5-1 to 5-3 Review

Total questions: 76

Worksheet time: 6hrs 14mins

Name
Class
Date
1.
Which statement below accurately represents the graph?
a)
$100 is earned for each hour worked
b)
$200 earned for every 2 hours worked
is the unit rate
c)
$500 is earned for every 8 hours worked
d)
$300 is earned after working 4 hours
2.
What is the constant of proportionality?
a)
$3
b)
$4
c)
$2
d)
$9
3.
The constant of proportionality can be found by finding the __________  _____________.
a)
unit rate
b)
ratio rate
c)
proportion answer
d)
rational number
4.
Which graph is proportional?
a)
A
b)
B
c)
C and D
d)
All of the graphs are proportional
5.
Is the given table a proportional relationship? If so, what is the constant?
a)
Yes; 1/3
b)
Yes; 3
c)
Yes; 5
d)
No
6.
What makes a graph proportional?
a)
Straight line
b)
The line goes through the origin
c)
Curvy line
d)
Straight line and the line goes through the origin
7.
A box of cereal cost $3.59 for 30 oz. How much is the unit rate per ounce? Round to the nearest cent.
a)
11 cents
b)
12 cents
c)
13 cents
d)
10 cents
8.
What is the constant of proportionality for the following graph?
a)
80
b)
20
c)
40
d)
160
9.

Identify the constant of proportionality.

a)

k = 2

b)

k = 4

c)

k = 1/2

d)

k = 1/4

e)

none (not proportional)

10.

The graph shows the distance a train travels over time. How fast is the train traveling?

a)

25 miles per hour

b)

90 miles per hour

c)

50 miles per hour

d)

45 miles per hour

11.

Select ALL equations that are proportional.

a)

y = 3x

b)

y = 25x

c)

y = 7x

d)

y = 2x - 1

e)

y = 4000x

12.
Kyle entered a pie eating contest.  He took 1/5 of a minute to eat 1/2 of a pie.  How many pies can Kyle eat per minute?
a)
2 and 1/2 minutes per pie
b)
2/5 of a minute per pie
c)
2 and 1/2 pies per minute
d)
2/5 of a pie per minute
13.
Jada can read 3/5 of a book in 1/4 of an hour.  How long would it take her to read one whole book?
a)
2 and 2/5 books per hour
b)
2 and 2/5 hours per book
c)
5/12 of an hour per book
d)
5/12 of a book per hour
14.
What is the constant of proportionality?
a)
4
b)
12
c)
3
d)
1/3
15.
What is the constant of proportionality?
a)
7
b)
3.3
c)
3/10
d)
14
16.
What is the constant of proportionality? 
a)
1/3
b)
3
c)
5
d)
10
17.
What is the constant of proportionality? 
a)
4
b)
1/4
c)
8
d)
1/8
18.
Write an equation for this situation.
a)
y=9.75x
b)
y=19x
c)
y=19.25x
d)
y=9.5x
19.
Craig earns extra money as a lifeguard. He earns $37 for 4 hours and $64.75 for 7 hours.  What is the constant of proportionality? 
a)
$37
b)
$64.75
c)
$9.25
d)
$18.50
20.
If Reynaldo saves $48 in 8 days, how much could he save in two weeks?
a)
$102
b)
$84
c)
$56
d)
$6
21.
Which has a greater constant of proportionality according to the graph above?
a)
Avenger
b)
Serendipity
c)
Both have the same
22.

What is the unit rate for this graph?

(a)  

23.

In the equation y = 14x, what is the constant of proportionality?

(a)  

24.
What does the point (2, 94) represent in this situation?
a)
Every week, they earn $94.
b)
After 94 weeks, they save $2.
c)
After 1 week, they save $47.
d)
After 2 weeks, they save $94.
25.

Which company charges the lowest price per hour to rent a raft?

a)

Water's Edge Rafts

b)

Ryan's Rafts

c)

They charge the same rate per hour

26.

Who can type more words per minute?

a)

Braden

b)

Omar

c)

They both have the same rate of change

27.

The weight of Brandi's luggage is represented by the equation y = 40x, where y represents the weight in lbs and x represents the number of bags. The weight of Javier's luggage is represented in the graph. Compare their rates.

a)

Brandi's luggage weighs more because it weighs 40 lbs per bag.

b)

Javier's luggage weighs more because it weighs 40lbs per bag.

c)

Brandi's luggage weighs more because it weighs 30 lbs per bag.

d)

Javier's luggage weighs more because it weighs 30 lbs per bag.

28.

Who spends more per day?

a)

Kameron

b)

Myriah

c)

They have spend the same amount each day.

29.

The graph shows the number of headphones produced by Soundtech. NewSounds produces 175 headphones per hour.


Which statement is true?

a)

NewSounds produces headphones at a faster rate.

b)

Soundtech produces headphones at a faster rate.

c)

Both companies produce headphones at the same rate.

d)

Neither company is producing headphones at a constant rate.

30.

Who uses fewer gallons of gas per mile?

a)

Troy

b)

Lucy

c)

They use the same amount of gas per mile

31.

Which company has the cheaper price per pound?

a)

There is not enough information to determine the price per pound.

b)

Carmine's Candy

c)

Both candy stores have the same price per pound.

d)

Sam's Candy Shoppe

32.

Carla and Brandon are members of two different magazine programs where any magazine ordered is the same price, regardless of the magazine ordered.

Carla pays $17.76 for 8 magazines.

The equation below represents the amount of money Brandon pays for x magazines.

y = $2.88x

Who pays more per magazine?

a)

Brandon pays more per magazine.

b)

There is not enough information to determine the price per magazine.

c)

Brandon and Carla pay the same price per magazine.

d)

Carla pays more per magazine.

33.

The equation below represents the amount of a discount for an item that costs x dollars at store A. y = 0.2x

The graph represents the amount of a discount for an item that costs x dollars at store B.

Which store is offering the greater discount?

a)

Store A is offering the greater discount.

b)

Store A and store B are offering the same discount.

c)

Store B is offering the greater discount.

d)

There is not enough information to determine the amount of the discount.

34.

Compare the constant of proportionality of the following equation and graph by determining which line is steeper.

a)

The line represented by the equation has the same steepness as the line shown in the graph.

b)

There is not enough information to determine the steepness of the lines.

c)

The line represented by the equation is steeper than the line shown in the graph.

d)

The line shown in the graph is steeper than the line represented by the equation.

35.

Mr. Berry recorded the amount of water he used per minute in the graph. Mrs. Hendren wrote the equation y = 4.5x to represent her water use. Mrs. Lewis used 66 gallons in 12 minutes. Which statement is true?

a)

Mrs. Lewis used 0.5 gallons per minute more water than Mr. Berry.

b)

Mr. Berry used 0.5 gallons per minute more water than Mrs. Lewis.

c)

Mrs. Hendren used 0.5 gallons per minute more water than Mrs. Lewis.

d)

Mrs. Lewis used 0.5 gallons per minute more water than Mrs. Hendren.

36.
a)

Store A

b)

Store B

c)

Store C

37.

Johnathan saves $25 per month. Who saves more, Miguel or Johnathan?

a)

Johnathan

b)

Miguel

c)

They save the same amount.

38.

The graph shows the proportional relationship between the number of days, x, Restaurant T is open and how many people they served, y. The equation y = 82x represents the relationship for Restaurant S. Which restaurant served more people?

a)

Restaurant S

b)

Restaurant T

c)

They both served the same amount of people

39.

The equation y = 11.5x represents the price of beef jerky in Store A. The table shows the price for Store B. Which store has the better price?

a)

Store A

b)

Store B

c)

They both have the same price

40.

Find the slope-intercept equation

a)

y = 4x + 6

b)

y = -4x - 6

c)

y = 1/4x - 6

d)

y = -1/4x + 6

41.

Find the slope-intercept equation

a)

y = 2x + 3

b)

y = -2x +3

c)

y = 1/2 x+3

d)

y = -1/2 x+3

42.

Find the slope-intercept equation

a)

y = 3x + 5

b)

y = -3x + 5

c)

y = -1/3 x + 5

d)

y = -1/3 x - 5

43.
What is the equation of this line?
a)
y = 2x +2
b)
y = 2x -2
c)
y = -x + 2
d)
Cannot be Determined
44.

The equation below shows the cost (y) of a hamburger with different number of toppings (x).

y = 1.40x + 1.90

What is the meaning of the y-intercept?

a)

The hamburger will cost $1.90 without any toppings.

b)

The hamburger will cost $1.40 without any toppings.

c)

The cost of the hamburger is $1.90 with one topping

d)

The cost of the hamburger doesn't change no matter how many toppings there are.

45.

The equation below shows the cost (y) of a hamburger with different number of toppings (x).

y = 1.40x + 1.90

If Dexter pays $8.90 for his hamburger, how many toppings did he get?

a)

3

b)

4

c)

5

d)

6

46.

The equation below shows the cost (y) to attend the fair if you ride (x) amount of rides.

y = 5 + 1.75x.

What is the meaning of the slope?

a)

The cost to get into the fair is $5

b)

The total cost for the day will increase by $1.75 for every ride you go on.

c)

The cost to get into the fair is $1.75

d)

The total cost for the day will increase by $5 for every ride you go on.

47.

The equation below shows the cost (y) to attend the fair if you ride (x) amount of rides.

y = 1.75x+5

What is the meaning of the

y-intercept?

a)

The cost per ride is $1.75

b)

The cost per ride is $5

c)

The cost to get into the fair is $5

d)

The cost to get into the fair is $1.75

48.

The equation below shows the cost (y) to attend the fair if you ride (x) amount of rides.

y = 5 + 1.75x.

How much will you spend in one day if you go on 7 rides?

a)

$7.25

b)

$10.50

c)

$17.25

d)

$22.50

49.

The function y = 2.25 + 0.75x represents the total cost (y) you have to pay to take a cab (x) miles. What is the meaning of the slope/rate of change?

a)

The cost of the trip will increase by $0.75 per mile.

b)

You will have to pay $2.25 before you travel any miles.

c)

You will have to pay $0.75 before you travel any miles.

d)

The cost of the trip will increase by $2.25 per mile.

50.

The function y = 2.25 + 0.75x represents the total cost (y) you have to pay to take a cab (x) miles. What is the meaning of the y-intercept?

a)

The cost of the trip will increase by $0.75 per mile.

b)

You will have to pay $2.25 before you travel any miles.

c)

You will have to pay $0.75 before you travel any miles.

d)

The cost of the trip will increase by $2.25 per mile.

51.

Each day, a local cat shelter spends an average of $2.00 on food per cat. The manager estimates the shelter’s daily expenses, assuming there is at least one cat in the shelter, using the function y = 25 + 2.00x.


Select all the statements below that are true.

a)

y is the input

b)

25 represents the shelter's daily nonfood expenses

c)

x represents the number of cats at the shelter

d)

25 is the slope

e)

25 is the constant term

52.
In order to join a gym, there is a $125 startup fee and a $45 monthly fee. Interpret the slope of the scenario.
a)
The startup fee.
b)
Total amount paid.
c)
The monthly fee.
d)
The # of months attending.
53.

What can you conclude about the triangles on the line shown on the graph?

a)

The triangles are congruent and therefore have the same slope.

b)

The triangles are similar and therefore have the same slope.

c)

The triangles are similar but do not have the same slope.

d)

The triangles are unrelated to one another.

54.

What is the rise over run for these triangles?

a)

-6

b)

6

c)

1/6

d)

-1/6

55.

Which of these triangles would not be on the same line as the others.

a)

Triangle 8

b)

Triangle 9

c)

Triangle 10

56.

Triangles that are different sizes but have the same slope are called what?

a)

Congruent

b)

Similar

c)

Perpendicular

d)

Parallel

57.

Identify the slope (AC) of triangle ABC.

a)

2

b)

1/2

c)

-2

d)

-1/2

58.

Identify the slope of EF in triangle DEF.

a)

1

b)

-1

c)

3

d)

-3

59.

Identify the slope (CA) of triangle ABC.

a)

1/3

b)

3

c)

-3

d)

-1/3

60.

Triangles ABC and DEF are similar. The slope of triangle ABC is...

a)

1 which is the same as the slope of triangle DEF.

b)

3/4 which is the slope of hypotenuse of triangle DEF.

c)

4/3 which is the slope of triangle DEF.

d)

-1 which is the same as the slope of triangle DEF.

61.

The slope of line AC is equal to ABBC\frac{AB}{BC}  . What is the measure of the slope?

a)

2/3

b)

3/4

c)

3/2

d)

1/3

62.

Which statement is not true?

a)

A and B

b)

D only

c)

C only

d)

A, B and D

63.

Choose all that apply

a)

Blue

b)

Green

c)

Red

64.

Choose all that apply

a)

Blue

b)

Green

c)

Red

65.

Triangle MNP and JKL are similar right triangles.

Between which pairs of points are the slopes the same?

Choose all that apply.

a)

N and P; K and J

b)

M and P; J and L

c)

M and N; K and L

d)

N and P; J and L

66.

Which of the following is a true statement?

a)

BCED=BAEF\frac{BC}{ED}=\frac{BA}{EF}

b)

DFDE=ACAB\frac{DF}{DE}=\frac{AC}{AB}

c)

EFED=BCBA\frac{EF}{ED}=\frac{BC}{BA}

d)

EDEF=BABC\frac{ED}{EF}=\frac{BA}{BC}

67.

Which of the following statements is true about the triangles shown on the graph?

a)

The slope of the two triangles are the same.

b)

The triangles are congruent triangles.

c)

The slope of the larger triangle is larger than the slope of the smaller triangle.

d)

The slope of the smaller triangle is smaller than the slope of the larger triangle.

68.

Which of the following is a true statement?

a)

FDAC=BCEC\frac{FD}{AC}=\frac{BC}{EC}

b)

BCBA=ECED\frac{BC}{BA}=\frac{EC}{ED}

c)

EDEC=BABC\frac{ED}{EC}=\frac{BA}{BC}

d)

ECBA=BCED\frac{EC}{BA}=\frac{BC}{ED}

69.

Which statement is true?

a)

DEDF=ABAC\frac{DE}{DF}=\frac{AB}{AC}

b)

The slopes of the triangles are not the same.

c)

EFBC= ACDF\frac{EF}{BC}=\ \frac{AC}{DF}

d)

DFDE=ACAB\frac{DF}{DE}=\frac{AC}{AB}

70.

Which statement is FALSE?

a)

DF=ACDF=AC

b)

EDEF=BABC\frac{ED}{EF}=\frac{BA}{BC}

c)

The triangles have the same slope.

d)

The triangles have different slopes.

71.

What is the slope of line B?

a)

2

b)

0.5

c)

3

d)

1

72.

What is the slope that can be made from this slope triangle?

a)

1/3

b)

3

c)

20

d)

1/20

73.

What is the slope of the line?

a)

3/4

b)

4/3

c)

1

d)

6

74.

What is the slope of line C?

a)

2

b)

0.5

c)

3

d)

1

75.

a)

A

b)

B

c)

C

d)

D

76.

a)

A

b)

B

c)

C

d)

D