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Integers, COP UR, Proportions, Fractions, %

Total questions: 116

Worksheet time: 4hrs 14mins

Name
Class
Date
1.

Are these ratios equivalent?
$3 : 10 milligrams

$2 : 12 milligrams


a)

yes

b)

no

2.

Mr. Gotlib drew a rectangle on the chalkboard with a length to width ratio of 5 to 2. He asked students to draw a rectangle with the same ratio of length to width in their journals. Audrey plans to draw a rectangle with a width of 6 centimeters.

What length should Audrey's rectangle have?

a)

30

b)

12

c)

15

d)

10

3.

You spend $40 on 5 pounds of concrete. What is the unit rate in dollars per pound?

a)

$8

b)

$4

c)

$12

d)

$10

4.
Solve the proportion below:
a)
3
b)
24
c)
21
d)
12
5.
Solve the proportion:
a)
15
b)
5
c)
10
d)
12
6.
Hamburger meat sells for $6 for every 3 pounds. If Alicia buys 10 pounds of hamburger meat, how much will she pay?
a)
$30
b)
$20
c)
$60
d)
$10
7.

A motorcycle zoomed along the freeway, traveling 10 meters in 1/3

of a second. How fast was it moving per second?

a)

30 meters

b)

27 meters

c)

10 meters

d)

17 meters

8.

A motorcycle zoomed along the freeway, traveling 5 meters in 1/2

of a second. How fast was it moving per second?

a)

30 meters

b)

27 meters

c)

10 meters

d)

17 meters

9.

A seed sprouted and grew 2/3

of a foot in 3 months. What was its rate of growth?

a)

1/9 per month

b)

1/3 per month

c)

2/9 per month

d)

1/6 per month

10.

A seed sprouted and grew 1/3

of a foot in 3 months. What was its rate of growth?

a)

1/9 per month

b)

1/3 per month

c)

2/9 per month

d)

1/6 per month

11.

4y – 5
y = 6

a)

18

b)

19

c)

24

d)

20

12.

5(v + 1)
v = 4

a)

25

b)

17

c)

20

d)

14

13.
Which best describes the graph represented in this table?
a)
 proportional
b)
non-proportional
14.
Is this table proportional or non-proportional?
a)
Proportional
b)
Non-Proportional
15.
Is this table proportional?
a)
Yes
b)
No
16.
What is the constant of proportionality?
a)
$3
b)
$4
c)
$2
d)
$9
17.
What is the constant of proportionality?
a)
3
b)
4
c)
2
d)
5
18.
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
19.
The point (0, 0) is called the origin.
a)
True
b)
False
20.
What is the constant of proportionality? 
a)
5
b)
1/5
c)
10
d)
2
21.
What is the constant of proportionality? 
a)
6
b)
3
c)
2
d)
1/2
22.
What is the constant of proportionality?
a)
4
b)
12
c)
3
d)
1/3
23.
What is the formula for a proportional relationship?
a)
y=kx
b)
y=k/x
c)
z=ykx
d)
y=ky
24.
In the equation y = 14x, what is the constant of proportionality?
a)
y
b)
x
c)
14
25.
If the constant of proportionality is 10, which of the following is the correct proportional equation?
a)
10=kx
b)
10=k
c)
y=10k
d)
y=10x
26.
If Justin ordered 5 ice cream bars for $12.25, how much was each ice cream bar?
a)
$2.45
b)
$4.00
c)
$7.25
d)
$1.25
27.
Write an equation for this relationship.
a)
y=18x
b)
y=18.50x
c)
y=22.50x
d)
y=22x
28.

Write an equation for this situation.

a)

y=9.75x

b)

y=19x

c)

y=19.25x

d)

y=9.5x

29.

Identify the constant of proportionality.

a)

k = 5

b)

k = 1/5

c)

k = 1

d)

k = 2.5

e)

none (not proportional)

30.

Which statement best describes this situation?

a)

Kevin earns $16.50 per hour.

b)

Kevin earns $8.00 per hour.

c)

Kevin earns $8.25 per hour.

d)

Kevin earns $8.50 per hour.

31.
Which is the better buy? a 12 pack of Coke for $3.50 or a six pack of Coke for $1.80?
a)
The 12 pack of Coke
b)
The 6 pack of Coke
c)
Neither
d)
They are the same
32.
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
33.

Identify the constant of proportionality.

a)

k = 2

b)

k = 3

c)

k = 1.50

d)

k = 2/3

e)

none (not proportional)

34.
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
35.

Determine the constant of proportionality for the table. Express your answer as y = kx

a)

33

b)

y = 1/3x

c)

y = 33x

d)

y = 33

36.

A recipe calls for 3/4 cup of brown sugar for every 3 eggs. What is the unit rate of eggs per cup?

a)

1 cup per egg

b)

2 cups per egg

c)

3 eggs per cup

d)

4 eggs per cup

37.
If Justin can type 408 words in 4 minutes, how many words can he type per minute?
a)
102 words per minute
b)

104 words per minute

c)

204 words per minute

d)
412 words per minute
38.

Ben drinks tea at a relatively quick rate. He drinks 1/2 liter of tea every 2/3 of an hour. How much tea does Ben drink per hour?

a)

1 and 1/3 of an hour per liter

b)

3/4 of a liter per hour

c)

1 and 1/3 liter per hour

d)

3/4 of an hour per liter

39.
Determine the missing value in the table.
a)
15
b)
3
c)
1/3
d)
9
40.

This equation does not show a proportional relationship. Why?

a)

It doesn't go through the point of origin (0,0)

b)

It's not a straight line

41.

In a smoothie recipe, the ratio of orange juice to banana puree is 2 cups to 1 cup. If you were making 36 cups of smoothie to share, how many cups of banana puree would you need?

a)

12 cups

b)

18 cups

c)

24 cups

d)

36 cups

42.

What is the constant of proportionality?

a)

2 swings / 1 day

b)

0.5 swings / 1 day

c)

4 swings / 1 day

d)

None of the above

43.

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 in dollars per hour? 

a)

$37 / hour

b)

$64.75 / hour

c)

$9.25 / hour

d)

$18.50 / hour

44.
Which graph shows a proportional relationship?
a)
A
b)
B
c)
C
d)
D
45.
What is k in this proportional relationship?
a)
60 
b)
120
c)
1
d)
180
46.
What is the COP of this graph?
a)
4/3
b)
1
c)
4
d)
3/4
47.

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

48.

Which statement matches the graph?

a)

Taylor can write 6 words per minute

b)

Taylor can write 25 words per minute

c)

Taylor can write 50 words per minute

d)

Taylor can write 150 words per minute

49.

Which of the following statements is TRUE about the graph? Choose all that apply.

a)

The point (2, 8) shows that 8 pounds of cheese cost$2.00.

b)

The point (1.5, 6) shows the cost is $6.00 for 1.5pounds of cheese.

c)

The point (0.75, 3) shows that 0.75 pound of cheesecosts $3.00.

d)

The point (0.25, 1) shows the cost is $0.25 for 1pound of cheese.

e)

The point (0, 0) shows the cost is $0.00 for 0 pounds of cheese

50.

A dolphin travels through the water at a speed of 25 kilometers per hour. Select two representations that show the distance a dolphin can travel at this rate.

a)
b)

y = x + 25

c)
d)

In 5 hours the dolphin can travel 125 kilometers.

51.
6. AMUSEMENT PARKS The waiting time to ride a roller coaster is 20 minutes when 150 people are in line. How long is the waiting time when 240 people are in line?
a)
32 People
b)
32 Min.
c)
12.5 Min.
d)
12.5 People
52.

Which equation is NOT proportional?

a)

y = 2x - 3

b)

y = 150x

c)

y = 1/2x

53.
If it is 85 degrees in California and -4 degrees in Nebraska, how many degrees warmer is it in California? 
a)
-89
b)
81
c)
89
d)
-81
54.
The high temperature on Wednesday was 93 degrees. What was the absolute value of the temperature on Wednesday?
a)
93
b)
-93
c)
0
d)
186
55.
What is the expression that matches this situation?
Robbie went parasailing. His sail reached 141 feet. It descended 22 feet before staying in the same place for 10 minutes. What was the height that it stayed in for 10 minutes?
a)
163 feet
b)
119 feet
c)
-191 feet
d)
19 feet
56.
Melody had to make a visit to the bank because her account was overdrawn by $32.  After making a deposit of $100, Melody was now happy that she had some money. How much money did she have after making the deposit?
a)
$100
b)
-$78
c)
$68
d)
$32
57.
A football team gained 9 yards on one play and then lost 22 yards on the next. Write a sum of integers to find the overall change in field position.
a)
-9 + (-22) = -13
b)
9 + (-22) = 13
c)
9 + (-22) = -13
d)
none
58.
A diver was 40 feet below the surface of the water. A fisherman was casting off a dock right above the diver that was 12 feet above the surface of the water. How far apart are the diver and the fisherman?
a)
28 feet
b)
-28 feet
c)
52 feet
d)
-52 feet
59.
The temperature drops 2°F each hour. What is the total change in temperature after 12 hours?
a)
-24
b)
26
c)
24
d)
-26
60.
In Buffalo, New York, the temperature was -14°F in the morning. If the temperature dropped 7°F, what is the temperature now?
a)
-7°F
b)
-21°F
c)
7°F
d)
21°F
61.
While hiking, Sandra went up 120 meters. If Sandra started at 800 meters above sea level, what is her elevation now?
a)
-680
b)
920
c)
680
d)
-920
62.
The price of a share of stock started the day at $37. During the day it went down $3, up $1, down $7, and up $4. What was the price of a share at the end of the day?
a)
$27
b)
$31
c)
$32
d)
$35
63.
An elevator went up 15 floors, down 9 floors, up 11 floors, and down 19 floors. Find the net change.
a)
13
b)
3
c)
-2
d)
-4
64.
A dolphin was swimming 23 feet under the surface of the water. He rose 8 feet, then it dropped back down 4 feet. It rose 21 feet. What is the location of the dolphin now?
a)
2 feet below sea level
b)
2 feet above sea level
c)
19 feet below sea level
d)
15 feet below sea level
65.

Henry starts the day with $30. He and his sister go to the fair. He pays for his own admission of $10, but fails to notice that $15 falls out of his wallet while he is paying. His sister lends him $10 so that he can still enjoy the fair. Write the equation that illustrates his day's financial events.

a)

30 - 10 - 5 + 10 =

b)

30 - 15 + 10 =

c)

30 - 10 - 15 + 10 =

d)

30 + 10 - 15 =

66.

Karen opens a credit account to purchase a new bed. She makes a down payment of $200 on a $1,000 bed. What is her financial situation?

a)

Karen owes $600 on her bed.

b)

Karen owes $1000 on her bed.

c)

Karen owes $200 on her bed.

d)

Karen owes $800 on her bed.

67.
At the Springfield Golf Tournament, the leaderboard shows Preston's score as 7 on the front nine and -6 on the back nine. What was Preston's total score for the rounds?
a)
-2
b)
2
c)
-1
d)
1
68.
A roller coaster begins at 90 feet above ground level. Then it descends 105 feet. Find the height of the coaster after the first descent.
a)
195 feet
b)
15 feet
c)
-5 feet
d)
-15 feet
69.

A submarine was situated 800 feet below sea level. If it ascends 350 feet, what is its new position?

a)
450
b)
-450
c)
1150
70.

James has $30 in his checking account. He deposits $120 after he is paid. What is his balance now?

a)

$150

b)

$90

c)

-$150

71.

60 yard gain on a play

a)

60

b)

-60

c)

0

72.

48 ft below sea level

a)

48

b)

-48

c)

0

73.

Profit of 90

a)

90

b)

-90

c)

0

74.

the boat was at sea level

a)

positive

b)

negative

c)

zero

75.

deposit in savings account

a)

Positive

b)

Negative

c)

Zero

76.

Loss of yards

a)

Positive

b)

Negative

c)

Zero

77.

Which operation uses the keyword "difference"?

a)

addition

b)

subtraction

c)

multiplication

d)

division

78.

Which operation uses the keyword "sum"?

a)

addition

b)

subtraction

c)

multiplication

d)

division

79.

Lost

a)

Positive (+)

b)

Negative (-)

80.

Descended

a)

positive (+)

b)

negative (-)

81.

Ryan is in a submarine 210 meters below sea level, he ascends 136 meters. What is Ryan’s new elevation?

a)

-346

b)

-74

c)

-19

d)

74

82.

Taylor drew 4 integer cards from a deck. Her results are shown. What integer represents the sum of her cards?

a)

66

b)

12

c)

14

d)

26

83.
A company loses $780 as a result of a shipping delay. The six owners of the company must share the loss equally. Write an integer to show the profit for each owner.
a)
-$13
b)
$13
c)
-$130
d)
$130
84.
A football team lost 5  yards on  4 consecutive plays.  What is the total change in yards from where the team started?
a)
9 yards
b)
20 yards
c)
-20 yards
d)
-1 yards
85.
A game show contestant starts a game by answering three questions incorrectly.  Each incorrect answer costs the contestant $900.  What integer would represent the point total for the contestant?
a)
$2700
b)
$300
c)
-$2700
d)
-$300
86.

Jughead eats 1 12\frac{1}{2}  burgers and Betty eats 67\frac{6}{7}  of a burger. How much more did Jughead eat?

a)

1114\frac{11}{14}  of a burger

b)

914\frac{9}{14}  of a burger

c)

57\frac{5}{7}  of a burger

d)

37\frac{3}{7}  of a burger

87.
Snow fell in Newton twice in one day. The town received 3/8 inch of snow in the morning and another 1/2 inch of snow in the afternoon. How many total inches of snow fell in Newton on that day?
a)
1/8
b)
3/10
c)
5/8
d)
7/8
88.
Kennedy made 12 3/8 cups of tea. She and her friends drank 7 1/4 cups. How much was left?
a)
 5 1/4 cups 
b)
4 1/8 cups 
c)
5 1/8 cups 
d)
5 3/8 cups
89.
Julia scored 3  5/8 pounds of candy for Halloween. Roderick scored 2  3/4 pounds. How many total pounds of candy did Julia and Roderick score combined?
a)
6  1/4 pounds 
b)
6  3/8 pounds 
c)
6  5/8 pounds 
d)
6  1/8 pounds 
90.
Snow fell in Monroe twice in one day. The town received 3/8 inch of snow in the morning and another 1/2 inch of snow in the afternoon. How many total inches of snow fell in Monroe on that day?
a)
1/8
b)
3/10
c)
5/8
d)
7/8
91.
A recipe needs 3/4 cup of sugar. If the recipe is doubled, how much sugar is needed?
a)
1
b)
1 1/2
c)
1  3/4 
d)
2
92.
Five friends shared 1  1/2 pounds of fudge equally. How much did each friend get?
a)
add
b)
divide
c)
subtract
d)
multiply
93.
You have three pounds of hamburger. How many 1/4 pound hamburgers can be made from this amount of meat? 
a)
1  1/4
b)
6
c)
8
d)
12
94.
Rachel had 1/8 bag of popcorn. Ethan had 2/3 bag of popcorn. How much popcorn did they have altogether? What operation will you use to answer the question?
a)
add
b)
subtract
c)
multiply
d)
divide
95.
Mr. Luebke ate 2 3/4 of a pie on Monday and 1 2/5 of a pie on Friday. How much more pie was eaten on Monday than Friday? What operation will you use to answer the question?
a)
divide
b)
multiply
c)
add
d)
subtract
96.
Kelly has 2 1/2 feet of fabric, she needs 1/4 of a foot to make each ribbon.  How many ribbons can she make?
a)
5
b)
⅝
c)
10
d)
12
97.
Billy the dog weighs 9 2/5 pounds more than Henry the dog. If Henry weights 22 1/4 pounds, how much does Billy weigh?
a)
31 13/20 pounds
b)
32 1/20 pounds
c)
32 11/20 pounds
d)
31 11/20 pounds
98.
Thomas walked 1 1/4 miles from his home to his school. Jackson walks 1 2/3 miles from his home to work. How much farther does Jackson walk to school than Thomas?
a)
5/12 of a mile
b)
7/12 of a mile
c)
1/5 of a mile
d)
 1/2 of a mile
99.
Clara grew 2 1/8 inches from her ninth birthday to her tenth birthday. If she was 53 2/3 inches when she turned nine. How tall was she when she turned ten?
a)
 55 19/24 inches
b)
 55 5/6 inches
c)
56 5/6 inches
d)
56 1/24 inches
100.

What is the percent change from 5 to 8?

a)

37.5%

b)

6%

c)

60%

d)

.375%

101.

What is the percent change from 8 to 5?

a)

37.5%

b)

6%

c)

60%

d)

.375%

102.

What formula do you use to solve for a percent change?

a)

is=%of

b)

part=%whole

c)

new−originaloriginal×100\frac{new-original}{original}\times100

d)

new−originalnew×100\frac{new-original}{new}\times100

103.

What formula do you use to solve for a percent change?

a)

is=%of

b)

part=%whole

c)

amount of changeoriginal×100\frac{amount\ of\ change}{original}\times100

d)

amount of changenew×100\frac{amount\ of\ change}{new}\times100

104.

What formula do I use to solve for this question?

4 is what % of 10?

a)

is=%of

b)

amount of changeoriginal×100\frac{amount\ of\ change}{original}\times100

c)

amount of changenew×100\frac{amount\ of\ change}{new}\times100

d)

of=%is

105.

What formula do I use to solve for this question?

What is 30% of 10?

a)

is=%of

b)

amount of changeoriginal×100\frac{amount\ of\ change}{original}\times100

c)

amount of changenew×100\frac{amount\ of\ change}{new}\times100

d)

of=%is

106.

A car(C) had a 40% Discount. What equation will solve for the TOTAL of the car?

a)

.6(C)

b)

.4(c)

c)

`1.4(c)

d)

1.6(c)

107.

A car(C) had a 40% TAX. What equation will solve for the TOTAL of the car?

a)

.6(C)

b)

.4(c)

c)

`1.4(c)

d)

1.6(c)

108.

A car(C) had a 40% TAX. What equation will solve for the TAX of the car?

a)

.6(C)

b)

.4(c)

c)

`1.4(c)

d)

1.6(c)

109.

A car(C) had a 40% Discount. What equation will solve for the Discount of the car?

a)

.6(C)

b)

.4(c)

c)

`1.4(c)

d)

1.6(c)

110.

Belk is having a sale. They have shirts 10% off. Which equation will solve for the total of a shirt that cost $45.99

a)

.9(45.99)

b)

1.1(45.99

c)

.1(45.99)

d)

1.9(45.99)

111.

Belk is having a sale. They have shirts 10% off. Which equation will solve for the amount of money saved on a shirt that cost $45.99

a)

.9(45.99)

b)

1.1(45.99

c)

.1(45.99)

d)

1.9(45.99)

112.

Belk has shirts for sale. Which equation will solve for the amount of the tax on a shirt that cost $45.99 with a 10% tax?

a)

.9(45.99)

b)

1.1(45.99)

c)

.1(45.99)

d)

1.9(45.99)

113.

Belk has shirts for sale. Which equation will solve for the sales price on a shirt that cost $45.99 with a 10% tax?

a)

.9(45.99)

b)

1.1(45.99)

c)

.1(45.99)

d)

1.9(45.99)

114.

4 is what % of 4

a)

100%

b)

1 %

c)

10%

115.

252 is 72% of what amount?

a)

350

b)

252

c)

14

d)

472

116.

What % of 200 is 28?

a)

350

b)

252

c)

14

d)

472

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