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Constant Rate of Change & Spiral Review Quiz for 11-19-2019

Total questions: 120

Worksheet time: 7hrs 28mins

Name
Class
Date
1.

In the formula d= rt, d stands for distance traveled, r stands for rate of speed, and t stands for time. The Wilson family took a 350-mile automobile trip. They traveled at an average rate of 52 miles per hour. How long did their trip take?

a)

4 h 98 min

b)

6 h 73 min

c)

6 h 44 min

d)

7 h

2.

This graph relates the distance traveled by a train, d, to the time, t.

Which equation describes the relationship between distance and time for the train?

a)

d = 150 + t

b)

d = 200t

c)

d = 150t

d)

d = t - 600

3.
What is the constant of proportionality for this table?
a)
$1/9 per hour
b)
$9 per hour
c)
$8 per hour
4.
Write an equation for this situation.
a)
y = 9.75x
b)
y = 19x
c)
y = 19.25x
d)
y = 9.5x
5.
Write the equation for the table given
a)
y = 1/3x
b)
y = 3x
c)
y = 1/2x
6.
In the equation y = 14x, what is the constant of proportionality?
a)
y
b)
x
c)
14
d)
1/14
7.

At what rate did the rain fall?

a)

2 cm per hour

b)

1/4 cm per hour

c)

1/2 cm per hour

d)

4 cm per hour

8.
7.4(A) 2017
a)
A
b)
B
c)
C
d)
D
9.
7.4(A) 2016
a)
A
b)
B
c)
C
d)
D
10.
7.4(A) 2016
a)
F
b)
G
c)
H
d)
J
11.
Josh bought a pizza with eight slices of pizza for $12. What is the cost of a slice of pizza?
a)
$12
b)
$1.50
c)
$3
d)
$1
12.
In the equation y = 14x, what is the constant of proportionality?
a)
y
b)
x
c)
14
d)
1/14
13.
What is the constant of proportionality for this table?
a)
$1/9 per hour
b)
$9 per hour
c)
$8 per hour
14.
a)
the unit rate is $1 per apple
b)
the table is proportional
c)
the table is non-proportional
d)
the unit rate is $.50 or 50 cents per apple
15.

Which ordered pair represents the origin on a graph?

a)

(1,1)

b)

(0,1)

c)

(0,0)

d)

(1,0)

16.

Does the table above represent a proportional or non-proportional relationship?

a)

Proportional

b)

Non-Proportional

17.

In the equation, y = kx, what does "k" represent?

a)

Constant of Proportionality

b)

Constant Rate of Change

c)

Input

d)

Output

18.

Looking at the graph, is it proportional or non-proportional?

a)

Proportional

b)

Non-Proportional

19.

If the table is proportional, then what is the constant of proportionality?

a)

$15.50 per hour

b)

15.5 hours per dollar

c)

$1.50 per hour

d)

1.50 hours per dollar

20.

If the table is constant, using k, find the total amount earned if you worked for 15 hours.

a)

$232.50

b)

$30.50

c)

$0.50

d)

$225

21.
The graph shows the growth of a tree over time.  Is the data represented proportional?
a)
Yes
b)
No
22.
Is the following equation proportional or non proportional:
y= 4x - 5
a)
Proportional
b)
Non Proportional
23.
Is the following equation proportional or non proportional:
y= 12x
a)
Proportional
b)
Non Proportional
24.
Is the following equation proportional or non proportional:
y= 5 + 3x
a)
Proportional
b)
Non Proportional
25.
Is the following equation proportional or non proportional:
y= 4x
a)
Proportional
b)
Non Proportional
26.

The graph shows the amount of money earned by an employee based on the time he spent working. Which list shows the dependent quantities in the graph?

a)

10, 20, 30, 40, 50

b)

1, 2, 3, 4, 5

c)

11, 22, 33, 44, 55

d)

101, 202, 303, 404, 505

27.

Shaundra made this table in order to show the results of a science experiment. Which statement about the quantities in Shaundra's experiment is true?

a)

The amount of fertilizer added and the change in height of the plants are both independent quantities.

b)

The amount of fertilizer added and the change in the height of the plants are both dependent quantities.

c)

The amount of fertilizer added is the dependent quantity, and the change in the height of the plant is an independent quantity.

d)

The amount of fertilizer added is an independent quantity, and the change in height of the plant is a dependent quantity.

28.

The graph shows the number of points, y, a player earns in a balloon game based on the number of balloons the player pops, x. Which equation best represents the relationship between x and y?

a)

y = x + 25

b)

x = y + 25

c)

x = 25y

d)

y = 25x

29.

The graph shows the number of points, y, a player earns in a balloon game based on the number of balloons the player pops, x. What are the independent quantities based on the graph?

a)

0, 1, 2, 3, 4, 5

b)

2, 4, 6, 8, 10

c)

0, 25, 50, 75, 100, 125

d)

0, 20, 40, 60, 80, 100

30.

Macy receives $8.25 for every hours she babysits. Which of the following equations can be used the represent the given situation if h, represents the hours she babysits, and t, represents the total amount she earns?

a)

t = 8.2h

b)

t = 8.25h

c)

h = 8.2t

d)

h = 8.25t

31.

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

32.
When solving a proportion problem, will you use addition/subtraction?
a)
yes
b)
no
c)
sometimes
33.
y=kx.  What does the k represent?
a)
constant of proportionality
b)
multiplier
c)
scale factor
d)
all of these are correct
34.
Which best describes the graph represented in this table?
a)
 proportional
b)
non-proportional
35.
Is this table proportional or non-proportional?
a)
Proportional
b)
Non-Proportional
36.
Solve the equation:
4p = 16
a)
p = 12
b)
p = 64
c)
p = 3
d)
p = 4
37.
Solve the equation:
x/3 = 4
a)
x = 12
b)
x = 1
c)
x = 16
d)
x = 3
38.
Solve the equation:
5x = 25
a)
x = 20
b)
x = 125
c)
x = 4
d)
x = 5
39.
What is the Constant of Proportionality?
a)
k=46
b)
k=92
c)
k=0.2
d)
not proportional
40.
The "Distance from Home" (miles) is best described as:
a)
a) on the x-axis
b)
b) the dependent variable
c)
c) the independent variable
d)
d) both a & c
41.
Mason ran 3 miles in 20 minutes. What is his unit rate of miles per hour?
a)
400 miles per hour
b)
9 miles per hour
c)
20 miles per hour
d)
6.67 miles per hour
42.
What is the constant of proportionality?
a)
$3
b)
$4
c)
$2
d)
$9
43.
Is this table proportional?
a)
Yes
b)
No
44.
Which equation matches the given graph?
a)
y=0.45x
b)
y = 2/5x
c)
y = 4x
d)
k = ¼
45.
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
46.
The vertical axis; usually for values.
a)
X-axis
b)
grids
c)
Y-axis
d)
legend
47.
The horizontal axis; usually for categories.
a)
X-axis
b)
grids
c)
legend
d)
Y-axis
48.

Identify the constant of proportionality.

a)

k = 6

b)

k = 12

c)

k = 1/6

d)

k = 1/12

e)

none (not proportional)

49.

Identify the constant of proportionality.

a)

k = 2

b)

k = 3

c)

k = 1.50

d)

k = 2/3

e)

none (not proportional)

50.

The constant of proportionality of this graph is k = 45. What does it mean?

a)

The boat travels for 45 miles for every 45 hours

b)

The boat travels 1 mile for every 45 hours

c)

The boat travels 45 miles for every 1 hour

d)

The boat travels 1/45 mile for every 1 hour

51.

Write an equation that represents the relationship between the weight(x) and the cost(y).

a)

y = 1/2 x

b)

y = 1/4 x

c)

y = 2x

d)

y = 4x

52.
Write an equation for the proportional relationship in the table.
a)
y=18x
b)
y=18.50x
c)
y=22.50x
d)
y=22x
53.
The constant of proportionality in the equation y = ½x is _______. 
a)
x
b)
y
c)
1/2
d)
2
54.
Determine the missing value in the table.
a)
15
b)
3
c)
1/3
d)
9
55.
What is the constant of proportionality? 
a)
45 mph
b)
90 mph
c)
135 mph
d)
2 mph
56.
What is the constant of proportionality? 
a)
4
b)
1/4
c)
8
d)
1/8
57.
Which of the following is the correct formula for finding the constant of proportionality?
a)
k = x/y
b)
k = y/x
c)
y = k/x
d)
x = k/y
58.
Which of the following ordered pairs is NOT part of the graph above?
a)
(2, 94)
b)
(4, 188)
c)
(282, 6)
d)
(8, 376)
59.
The horizontal axis is the y-axis.
a)
True
b)
False
60.
The point (0, 0) is called the origin.
a)
True
b)
False
61.
What is the constant of proportionality of the relationship represented by the table above?
a)
75
b)
0.013
c)
1/75
d)
None of the above
62.
The constant of proportionality is also the unit rate.
a)
True
b)
False
63.
In the graph above, the x-axis represents the number of downloads.
a)
True
b)
False
64.
According to the graph above, 5 bags of luggage weighs 150 pounds.
a)
True
b)
False
65.
According to the graph above, 4 pounds of bananas costs $100.
a)
True
b)
False
66.
Which of the tables above has a constant of proportionality of $0.20?
a)
A & B
b)
A
c)
B
d)
All of them
67.
Which has a greater constant of proportionality according to the graph above?
a)
Avenger
b)
Serendipity
c)
Both have the same
68.
The constant of proportionality can be found by finding the __________  _____________.
a)
unit rate
b)
ratio rate
c)
proportion answer
d)
rational number
69.
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
70.
A proportional relationship can be written as an equation in the form ____ = _____  _____
a)
y = k+x
b)
y = k-x
c)
y = kx
d)
y = k/x
71.

Identify the constant of proportionality.

a)

k = 2x

b)

k = 2

c)

k = 4

d)

none (not proportional)

72.

Identify the constant of proportionality.

a)

k = 2

b)

k = 4

c)

k = 1/2

d)

k = 1/4

e)

none (not proportional)

73.

Identify the constant of proportionality.

a)

k = 5

b)

k = 1/5

c)

k = 1

d)

k = 2.5

e)

none (not proportional)

74.

Identify the constant of proportionality.

a)

k = 25

b)

k = 50

c)

k = 100

d)

k = 1/50

e)

none (not proportional)

75.
Which graph shows a proportional relationship?
a)
A
b)
B
c)
C
d)
D
76.

Which of the following rates of change represents the graph shown?

a)

2 boys for every 1 girl

b)

0.5 boys for every 1 girl

c)

6 boys for every 1 girl

d)

3 boys for every 1 girl

77.
Find the unit rate of 624 calories in 3 servings.
a)
1,872 calories per serving
b)
208 calories per serving
c)
624 calories per serving
d)
621 calories per serving
78.
What is the gradient in the picture?
a)
Positive
b)
Negative
c)
Zero
d)
Undefined
79.
What type of slope does the graph have?
a)
Positive
b)
Negative
c)
Zero Slope
d)
Undefined
80.
What type of slope does the graph have?
a)
Zero
b)
Undefined
c)
Negative
d)
Positive
81.
What type of slope does the following graph have?
a)
Postive
b)
Negative
c)
Zero Slope
d)
Undefined
82.
What is the slope in the picture?
a)
Positive
b)
Negative
c)
Zero
d)
Undefined
83.
Who are these ladies?
a)
The Golden Girls
b)
The Old Timers
c)
Betty White and Sisters
d)
Facts of Life Girls
84.
What part does Harrison Ford play in the movies?
a)
Ben Kenobi
b)
Anakin Skywalker
c)
Han Solo
85.
There are 4 triangles, 12 squares, and 6 circles.  What is the ratio of squares to circles? Simplify.
a)
1 : 2
b)
1 to 4
c)
4 : 3
d)
2 : 1
86.
There are 10 dimes, 8 quarters, and 5 nickels?  What is the ratio of dimes to nickels?
a)
10 to 5
b)
5 : 10
c)
1 : 2
d)
2 to 1
87.
Mr. Wright has 7 boys and 9 girls. What is the ratio of girls to boys?
a)
7 to 9
b)
9 to 7
88.
My mother purchased 9 candy bars at Food Lion for $13.50.  What is the price per candy bar?
a)
$2.00 per product
b)
$1.50 per product
c)
$1.75 per product
89.
My father drove 231 miles with 7 gallons of gas.  What was his mileage (miles per gallon)?
a)
35 miles per gallon
b)
33 miles per gallon
c)
37 miles per gallon
90.
The Upward Football League has 156 players on 12 teams.  What is the unit rates of players to teams? 
a)
13 players per team
b)
12 players per team
c)
14 players per team
91.
My aunt paid $124 for 4 concert tickets.  What is the rate for 7 concert tickets?
a)
$210
b)
$264
c)
$217
d)
$224
92.
My father paid $25.50 for 5 movie tickets.  What is the rate for 9 movie tickets?
a)
$45.90
b)
$47.70
c)
$46.80
d)
$50.00
93.
In an animal shelter, there are 5 dogs for every 20 cats. Which rate best represents the relationship between dogs and cats?
a)
10 dogs for every 40 cats
b)
1 dog for every 5 cats
c)
2 dogs for every 10 cats
d)
12 dogs for every 50 cats
94.
When are unit rates useful? Choose the best answer.
a)
When you want to subtract a number by another.
b)
When you want to multiply one number by another.
c)
When you want to compare prices.
d)
When you want to figure out the probability of a number.
95.
Hamburger sells for 3 pounds for $6. If Alicia buys 10 pounds of hamburger, how much will she pay?
a)
$30
b)
$20
c)
$60
d)
$10
96.
Eric bought 4 pairs of sports socks for $9.  How many pairs of socks can he buy for $13.50?
a)
8
b)
7
c)
6
d)
5
97.
The hardware store has 35 aisles. 20% of them included seasonal items. How many aisles include other than seasonal items? 
a)
20 aisles
b)
282 aisles
c)
28 aisles
d)
22 aisles
98.
It takes 4 quarts of paint to cover 560 square feet.  How many quarts of the same paint are needed to cover 140 square feet?
a)
4  1/2 quarts
b)
2 quarts
c)
 1 quart
99.
Harry mowed eight lawns and earned $96. How much did he earn for each lawn?
a)
$96
b)
$12
c)
$768
d)
$8
100.
Water flows from a faucet at a rate of 5 gallons every 25 seconds. At this rate, how many gallons will flow from the faucet in 45 seconds?
a)
9 gallons
b)
5 gallons
c)
11 gallons
d)
40 gallons
101.
Four pounds of bananas cost $6.  What is the cost per pound of bananas?
a)
$24 per pound
b)
$1.50 per pound
c)
$1 per pound
d)
$6 per pound
102.
A car travels 160 miles in 4 hours.  At this rate, how far will the car travel in 7 hours?
a)
280 miles
b)
40 miles
c)
280 miles per hour
d)
240 miles
103.
To make food coloring, every 2 drops of red are mixed with 3 drops of yellow?  How many drops of red would be used if 36 drops of yellow were used?
a)
53 drops
b)
24 drops
c)
48 drops
104.
Solve for x please
a)
x  = 3
b)
x = -9
c)
x = 9
d)
x = 1/3
105.
One snowy day, the snow was falling at a rate of 3 inches per hour.  If it kept snowing at the same rate, now many inches would accumulate in 2½ hours
a)
7 ½  inches
b)
6 ½ inches
c)
5 ½ inches
106.
Which is the "better buy"?  A 12 ounce can of corn for $1.92 of  a 20 ounce can of corn for $3.00?
a)
They are the same
b)
The  20 ounce can
c)
The 12 ounce can
107.
You drove your new car on the open highway using cruise control, which keeps a steady speed. After 120 minutes, you traveled 140 miles. At what speed did you set the cruise control?
a)
70 miles per minute
b)
70 miles per hour
c)
140 miles
d)
2 hours
108.
There are 1600 calories in the 5 cups of dog food Mike gives his adult dog. Mike gives his puppy 3 cups of the same dog food. How many calories are in the 3 cup serving?
a)
800 calories
b)
960 calories
c)
640 calories
d)
3200 calories
109.

What is the P( not purple) on this spinner?

a)

2/5

b)

1/5

c)

4/5

d)

3/5

110.

What is the probability of spinning an even number?

a)

16 2/3%

b)

33 1/3%

c)

50%

d)

75%

111.
Find the probability of rolling a 7 on a single die.
a)
1/6
b)
7/6
c)
0
d)
7/7
112.
The letters that form the word MATHEMATICS are placed in a bowl. What is the probability of choosing a letter that is a vowel?
a)
8/121
b)
4/11
c)
2/11
d)
4/121
113.
The letters that form the word ALGEBRA are placed in a bowl. What is the probability of choosing a letter other than “A”? 
a)
2/7
b)
5/49
c)
5/7
d)
10/49
114.
How do you write 0.02 as a percent?
a)
20%
b)
200%
c)
2%
d)
.02%
115.
A set of all possible outcomes is known as - 
a)
a list
b)
a complement
c)
a sample space
d)
an event
116.
You flip a nickel three times.
Find the probability that all flips will land on tails.
a)
1/2
b)
1/4
c)
1/6
d)
1/8
117.

Use the tree diagram to find the probability of tossing a head first and then a tail when a coin is tossed twice.

a)

1

b)

1/2

c)

1/4

d)

1/3

118.
The table shows the number of hours it took Israel to bike a certain amount of miles. Find the rate of change. 
a)
12
b)
10
c)
20
d)
11
119.
The table shows the number of minutes it takes Connor to run a certain amount of miles. Calculate the rate of change.
a)
90
b)
4.5
c)
45
d)
1/45
120.
Is the graph proportional or non proportional?
a)
proportional
b)
non proportional

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