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WorksheetsSolving Proportions and Unit Rate Review
Total questions: 101
Worksheet time: 6hrs 50mins
Name
Class
Date
1.
There are 56 cookies and 14 cupcakes leftover at a bake sale. What is the ratio of cupcakes to cookies?
a)
56/14
b)
1/4
c)
2/9
d)
14/56
2.
The ratio of dogs to cats at a pet store is 2 to 3. Which of these shows the possible numbers of dogs and cats in the pet store?
a)
12 dogs, 13 cats
b)
14 dogs, 21 cats
c)
5 dogs, 10 cats
d)
20 dogs, 23 cats
3.
Find the unit rate of $97.50 for 15 pizzas.
a)
$6.52 per pizza
b)
$82.50 per pizza
c)
$5.50 per pizza
d)
$6.50 per pizza
4.
Solve the proportion.
a)
k=5
b)
k=3.3333333
c)
k=3
d)
k=90
5.
There were 5 ice cream cones for every 3 brownies sold at the ice cream shop. If there were 24 brownies sold, how many ice cream cones were sold?
a)
120
b)
14
c)
40
d)
14.4
6.
Ella has 5 balloons. Taylor has 7 balloons. Write the ratio of Ella's balloons to Taylor's balloons.
a)
7/5
b)
5/7
c)
3/5
d)
5/3
7.
Patrick has 2 black, 3 red, and 5 white toy cars. What is the ratio of red toy cars to all the toy cars?
a)
3/5
b)
1/3
c)
3/7
d)
3/10
8.
88 students in 4 classes
How many students per class?
How many students per class?
a)
22 students per class
b)
22 classes per student
c)
25 students per class
d)
25 classes per student
9.
What is the ratio of red apples to green apples
a)
7/3
b)
4/7
c)
4/3
d)
3/4
10.
Express the ratio as a fraction in simplest form:
18 ounces to 3 cups
18 ounces to 3 cups
a)
6/1
b)
1/6
c)
18/3
d)
6
11.
Solve for x
a)
x = 1/10
b)
x = 10
c)
x = 4
d)
x = 5
12.
Solve for x
a)
x = 10
b)
x = 20
c)
x = 24
d)
x=13
13.
Solve for x
a)
x = 16
b)
x = 28
c)
x = 1/26
d)
x = 26
14.
Solve for x
a)
x = 12
b)
x = 60
c)
x = 10
d)
x = 15
15.
Solve for x
a)
x = 5
b)
x = 45
c)
x = 50
d)
x = 48
16.
If you buy 20 apples for $10.00, how much is one apple?
a)
$2.00
b)
$10.00
c)
$0.10
d)
$0.50
17.
You spend $40 on 5 pounds of concrete. What is the unit rate in dollars per pound?
a)
$8 per pound
b)
$5 per pound
c)
$35 per pound
d)
$0.13 pounds per dollar
18.
It costs $8.21 for 3 candy bars. What is the unit price for one candy bar?
a)
$2.74
b)
$2.73
c)
$71.8
d)
$0.37
19.
There are 3 boys and 4 girls from the 6th grade marching band. What is the ratio of boys to girls?
a)
3/7
b)
4/3
c)
7/3
d)
3/4
20.
Cindy is painting her house. She paints 34 1/2 square feet in 3/4 hour. At this rate, how many square feet can she paint each hour?
a)
30
b)
40
c)
46
d)
55
21.
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
22.
If Reynaldo saves $48 in 8 days, how much could he save in two weeks?
a)
$102
b)
$84
c)
$56
d)
$6
23.
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
24.
n /7 = 11/5 Solve for n:
a)
n = 77
b)
n = 9.2
c)
n = 13
d)
n= 15.4
25.
Ciara is shopping for snacks. Goldfish crackers are $1.99 for 7.2 oz and Cheese-Its are $2.70 for 13.7 oz. Which is the better deal?
a)
Goldfish crackers
b)
Cheese-Its
26.
Winly is in charge of this year's Thanksgiving budget for his family. At the store, he sees that Sara Lee turkeys are on sale for $5.48 per pound but Butterball turkey is also on sale for $11.16 for 2 pounds Which turkey should Winly tell his family to buy?
a)
Sara Lee turkey
b)
Butterball turkey
27.
The ratio of adults to children at your family picnic is 4 to 5. The total number of people at the picnic is between 20-30. Write an equivalent ratio to find out how many adults and children are at the picnic.
a)
8 to 10
b)
12 to 15
c)
16 to 20
d)
20 to 25
28.
A model truck and a truck have a ratio of 1 inch: 64 inches. If the length of the model is 6 inches, what is the length of the actual truck in feet?
a)
32
b)
384
c)
70
d)
400
29.
Jazmin works as a DJ and worked 12 hours last weekend and earned $168.00. At that rate, how much will she earn if she works for 9 hours this weekend?
a)
$100
b)
$126
c)
$156
d)
108
30.
Jazmin works as a DJ and worked 12 hours last weekend and earned $168.00. At that rate, how much will she earn if she works for 9 hours this weekend?
a)
$100
b)
$126
c)
$156
d)
108
31.
Express the ratio 7 pencils to 28 pens in simplest form.
a)
1 to 7
b)
7 to 1
c)
1 to 4
d)
4 to 1
32.
Sam can walk 6 kilometers in 3 hours. If he has to walk 10 kilometers, how long will it take him?
a)
7 hours
b)
6 hours
c)
5 hours
d)
4 hours
33.
Hadley is driving to Colorado. She has been traveling for 4 hours, and she has driven 260 miles. Find her speed in miles per hour.
a)
85
b)
65
c)
60
d)
70
34.
Raven is famous for her chocolate chip cookies. She adds 3 cups of sugar for every 5 ounces of chocolate chips. What is the unit rate of chocolate chips to sugar in ounces per cup?
a)
1.67 oz./cup
b)
.6 oz./cup
c)
5 oz./cup
d)
3 oz./cup
35.
Does this graph represent a proportional relationship?
a)
Yes
b)
No
36.
What is the cost of 3 pounds of flour if you can buy 6 pounds for $8.56?
a)
$5.56
b)
$4.28
c)
$1.43
d)
$2.78
37.
Write and equation in the form of y=kx for a line that passes through the ordered pair (3,9).
a)
y=1/3X
b)
y=6x
c)
y=3x
d)
y=9x
38.
What letter stands for "constant of proportionality"?
a)
y
b)
x
c)
b
d)
k
39.
What are the two rules that make a graph proportional?
a)
Straight Line and goes through the Origin
b)
Straight Line and is very steep
c)
Curved Line and goes through the origin
d)
Passes through the point (1,0) and is a straight line
40.
-71 + 80 =
a)
-151
b)
51
c)
9
d)
141
41.
Does this table represent a proportional relationship?
15 45 75
3 9 15
15 45 75
3 9 15
a)
yes
b)
no
42.
What is the constant of proportionality is the following table?
1 2 4 5
6 12 24 30
1 2 4 5
6 12 24 30
a)
1/6
b)
6
c)
12
d)
7
43.
What must you do to a fraction before adding or subtracting?
a)
Divide
b)
Find a common denomenator
c)
Make the numerators the same
d)
Cross multiply
44.
-12(9) =
a)
96
b)
108
c)
-96
d)
-108
45.
What is a unit rate?
a)
A comparison of two quantities where the second quantity is always 1 unit
b)
A rate that compares 2 different quantities
c)
a rate with units
d)
a comparison of two quantities where the first quantity is always 1
46.
¼ + ⅔ =
a)
3/7
b)
11/12
c)
3/4
d)
2/4
47.
What is the unit rate? Julio walks 2½ miles in 2 hours.
a)
1½ miles/hour
b)
1¼ miles/hour
c)
2 miles/hour
d)
¾ miles/hour
48.
Solve the equation:
4p = 16
4p = 16
a)
p = 12
b)
p = 64
c)
p = 3
d)
p = 4
49.
What is the constant of proportionality?
a)
$3
b)
$4
c)
$2
d)
$9
50.
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
is the unit rate
c)
$500 is earned for every 8 hours worked
d)
$300 is earned after working 4 hours
51.
Easy Car Rental charges $8.50 an hour plus a rental fee of $25.50.
a)
8.5 + 25.5
b)
25.5 + 8.5x
c)
8.5 + 25.5x
52.
In their last game, the New England Patriots scored 9 points in the first half. In the second half, they scored three less than two times the points in the first half. What is the ratio of the points scored in the second half to the total number of points scored? Put your answer in simplest form.
a)
5/8
b)
9/6
c)
6
d)
15/24
53.
Write as a unit rate.
144 pages in 3 minutes.
144 pages in 3 minutes.
a)
48
b)
48 pages per minute
c)
0.02
d)
0.02 pages per minute
54.
Write as a unit rate.
$12 for 5 boxes of cereal.
$12 for 5 boxes of cereal.
a)
2.4
b)
$0.41
c)
$2.40 per box
d)
0.41
55.
Which is the better deal?
Option A: $15.40 for 3.5 lbs. of gummy bears.
Option B: $7.65 for 1.8 lbs. of gummy bears.
Option A: $15.40 for 3.5 lbs. of gummy bears.
Option B: $7.65 for 1.8 lbs. of gummy bears.
a)
Option A
b)
Option B
56.
Proportional?
a)
Yes
b)
No
57.
Determine whether the ratios form a proportion.
a)
Yes
b)
No
58.
Find the missing value.
a)
m=240
b)
m=5
c)
m=480
d)
m=48
59.
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
60.
Coca-Cola $1.29 for 1.25 L
or
Pepsi $2.49 for 2L
Find the unit price of each and choose the better deal.
or
Pepsi $2.49 for 2L
Find the unit price of each and choose the better deal.
a)
Pepsi
b)
Coca-Cola
61.
Doritos $4.39 for 11.5 oz.
or
Cheetos $2.24 for 9.75 oz.
Find the unit price of each and choose the better deal.
or
Cheetos $2.24 for 9.75 oz.
Find the unit price of each and choose the better deal.
a)
Doritos
b)
Cheetos
62.
what are the three building materials?
a)
cotton,clay,soil
b)
copper,bedrock,iron
c)
brick,copper,metal
d)
metal,brick,wood
63.
A window washer clean 42 windows in 7 hours at this rate how many windows did he clean in 18 hours?
a)
108
b)
110
c)
106
d)
105
64.
Hilbert burns 120 calories per 30 minutes of weight training. Complete the table to chart his calorie expenditure for different amounts of time. What is value of b?
a)
b= 80
b)
b= 40
c)
b= 4
d)
b= 240
65.
The ratio of boys to girls is 3 to 7. Which of the following is a possible number of boys to girls?
a)
14 boys and 10 girls
b)
6 boys to 14 girls
c)
7 girls 3 boys
d)
27 girls 6 boys
66.
Your mom is making cookies. The ratio of walnuts to raisins she bakes into each cookie is 1 to 3. If your mom decides to bake giant cookies, which of the following shows the possible number of ingredients in each cookie?
a)
25 raisins 20 walnuts
b)
10 raisins 15 walnuts
c)
15 raisins 5 walnuts
d)
9 raisins 12 walnuts
67.
There are 154 slices in seven loaves. If there are the same number of slices in each loaf, how many slices of bread are in six loaves?
a)
131
b)
134
c)
130
d)
132
68.
SIMPLIFY THE EXPRESSION.
-6+5(2)
-6+5(2)
a)
8
b)
4
c)
-2
d)
-16
69.
Which of the following expressions simplifies to -1?
I. -39 - 38
II. -1(-1)
III. 19 + (-20)
IV. -16/-16
I. -39 - 38
II. -1(-1)
III. 19 + (-20)
IV. -16/-16
a)
III ONLY
b)
II AND III ONLY
c)
I, II, AND III ONLY
d)
I, III, AND IV ONLY
70.
By noon, the temperature increased 21° from the morning low of -13°F. What was the temperature at noon?
a)
21°F
b)
8°F
c)
34°F
d)
12°F
71.
A shark swims at a depth of 275 feet below sea level. After sighting a whale, the shark moves 190 feet closer to the surface. What integer represents the sharks new depth?
a)
465
b)
-125
c)
-85
d)
125
72.
A machine assembles 44 key chains per hour. How many key chains does the machine assemble in 11 hours?
a)
484 key chains
b)
4.84 key chains
c)
48.4 key chains
d)
4840 key chains
73.
A car travels 32 miles for each gallon of gas. How many gallons of gas does it need to travel 192 miles?
a)
12 gallons
b)
3 gallons
c)
1 gallon
d)
6 gallons
74.
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
75.
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
76.
You travel 150 miles on 5 gallons. How far did you travel per gallon?
a)
15 miles
b)
30 miles
c)
3 miles
d)
25 miles
77.
What mathematical operation does unit rates involve?
a)
addition
b)
subtraction
c)
multiplication
d)
division
78.
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.
79.
The car travels 440 miles in 8 hours. What is the unit rate?
a)
12 miles per hour
b)
55 miles per hour
c)
110 miles per hour
d)
44 miles per hour
80.
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
81.
Mrs. Nuckels used 3 cups of flour to make 60 cookies. How many cups of flour did she use to make 90 cookies?
a)
6 c.
b)
30 c.
c)
4 1/2 c.
d)
5 c.
82.
Mr. Foster drove 160 kilometers in 2 hours. What is the distance he can travel in 6 hours?
a)
540
b)
48
c)
480
d)
54
83.
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
84.
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
85.
In 2015, the Kansas City Royals played 162 games and won 95 of them. What percentage of games did the Royals win?
a)
58.6%
b)
50%
c)
38.5%
d)
170.5%
86.
2.5 cups of glitter are used to make 1 batch of glitter slime. How many cups of glitter are used to make 3 batches of glitter slime?
a)
5 cups
b)
3/2 cups
c)
7.5 cups
d)
2.8 cups
87.
A 12 pack of brownies cost $6.60. If the price per brownie stays the same, what would be the cost of 3 brownies?
a)
1.65
b)
0.55
c)
79.20
d)
5.40
88.
Margo can read 48 words in 4 minutes. Janice can read 72 words in 8 minutes. Who can read more faster?
a)
Margo reads 12 words a minute so she is faster.
b)
Janice reads 9 words a minute. She is faster.
c)
Margo can read 192 words per minute. She is faster.
d)
Janice can read 576 words a minute. She is faster.
89.
Mrs. Tang can drink 3 caramel cafe lattes in 3 hours, how many could she drink in 18 hours?
a)
9 lattes
b)
6 lattes
c)
18 lattes
d)
15 lattes
90.
In a bag of Skittles, there are 4 red skittles for every 5 green skittles. If the bag has 24 red skittles, then how many green skittles will be in the bag?
a)
36 green skittles
b)
30 green skittles
c)
24 green skittles
d)
120 green skittles
91.
a)
1
b)
3
92.
a)
4
b)
12
93.
I paid $15.00 for 6 gallons of gasoline.
What was the price PER gallon?
What was the price PER gallon?
a)
$0.40
b)
$9.00
c)
$2.50
d)
$0.90
94.
You spend $40 on 5 pounds of concrete. What is the unit rate in dollars per pound?
a)
$8 per pound
b)
$5 per pound
c)
$35 per pound
d)
0.125 pounds per dollar
95.
Oreos $2.98 for 15.5 oz.
or
Chips Ahoy $2.50 for 14 oz.
Find the unit price of each and choose the better deal.
or
Chips Ahoy $2.50 for 14 oz.
Find the unit price of each and choose the better deal.
a)
Oreos
b)
Chips Ahoy
96.
Movie ticket sales are as follows:
Adult: 20 tickets for $250
Child: 15 tickets for $71.25
Senior: 5 tickets for $37.50
How much does one (1) CHILD ticket cost?
Adult: 20 tickets for $250
Child: 15 tickets for $71.25
Senior: 5 tickets for $37.50
How much does one (1) CHILD ticket cost?
a)
$4.75
b)
$7.12
c)
$56.25
d)
$12.50
97.
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)
90 min
b)
30 min
c)
32 min
d)
30 min
98.
Do the ratios form a proportion?
a)
Yes, they form a proportion.
b)
No, they do not form a proportion.
99.
iTunes sells 9 songs for $8.85. Claire wants to buy Bruno Mars’ new album which cost $14.75. How many songs are on Bruno Mars’ new album?
a)
13 songs
b)
15 songs
c)
5 songs
d)
20 songs
100.
Jessica was planning a trip to Jamaica. Before going, she did some research and learned that the exchange rate is one Jamaican dollar for 0.5 US dollars. How much Jamaican money would she get if she exchanged $28?
a)
$56
b)
$14
c)
$5.60
d)
$140
101.
Pat needs 14 sticks of pepperoni to make 28 pizzas. How many sticks of pepperoni are needed to make 36 pizzas?
a)
15 pizzas
b)
252 sticks
c)
18 sticks
d)
18 pizzas
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