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7th Grade Math Review

Total questions: 100

Worksheet time: 4hrs 7mins

Name
Class
Date
1.
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
2.
Will spent $3.75 for 3 pounds of granola. What is his unit rate in dollars per pound?
a)
$1.25 per pound
b)
$1 per pound
c)
$2 per pound
d)
$1.50 per pound
3.
I paid $15.00 for 6 gallons of gasoline.
What was the price PER gallon?
a)
$0.40
b)
$9.00
c)
$2.50
d)
$0.90
4.
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
5.
Sargento cheese slices $2.48 for 10 slices
or
Velveeta Cheese slices $3.18 for 12 slices
Find the unit price for each and choose the better deal.
a)
Sargento
b)
Velveeta
6.
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
7.
Which is NOT equivalent to 3:5?
a)
15:25
b)
9:15
c)
21:28
d)
30:50
8.
Express the ratio as a fraction in simplest form:
18 ounces to 3 cups
a)
6 to 1
b)
1/6
c)
18/3
d)
3/18
9.
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)
3:11
d)
3:10
10.
The Northwestern huskies had a record of 25 wins and 45 losses.  What was the ratio of wins to losses?
a)
9:5
b)
5:9
c)
5:3
d)
3:5
11.
Write an equation for this situation.
a)
y=9.75x
b)
y=19x
c)
y=19.25x
d)
y=9.5x
12.
Write the equation for the table given
a)
y = 1/3x
b)
y = 3x
c)
y = 1/2x
d)
x = 3y
13.
Write the equation for the table given
a)
y = 1/3x
b)
y = 3x
c)
y = 1/2x
d)
x = 3y
14.
Joel earns $40 for shoveling snow on two driveways. Which equation correctly shows the  money (m) he earns per driveway (d)?
a)
d = 40m
b)
m = 40d
c)
m = 20d
d)
d = 20m
15.
What is the equation for the graph?
a)
y=46x
b)
k=46
c)
y=92x
d)
x=92y
16.

Identify the constant of proportionality.

a)

k = 6

b)

k = 12

c)

k = 1/6

d)

k = 1/12

e)

none (not proportional)

17.

Identify the constant of proportionality.

a)

k = 2

b)

k = 3

c)

k = 1.50

d)

k = 2/3

e)

none (not proportional)

18.

Identify the constant of proportionality.

a)

k = 25

b)

k = 50

c)

k = 100

d)

k = 1/50

e)

none (not proportional)

19.

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

20.
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)
$200 is earned after working 3 hours
21.

Which proportional relationship properly represents the scenario below?


Anthony rode his bicycle 45 miles in 5 hours. At that rate, how long would he have to ride to go 108 miles?

a)

545=108x\frac{5}{45}=\frac{108}{x}

b)

455=108x\frac{45}{5}=\frac{108}{x}

c)

x108=455\frac{x}{108}=\frac{45}{5}

22.

How do you solve for x?

45x=54045x=540  

a)

Add 45 to both sides

b)

Divide both sides by 45

c)

Multiply both sides by 45

d)

Subtract both sides by 45

23.

Anthony rode his bicycle 45 miles in 5 hours. At that rate, how long would he have to ride to go 108 miles?

a)

10 hours

b)

18 hours

c)

12 hours

d)

16 hours

24.

Marco wanted to buy a book about basketball. The book was $25.00 new. His friend Josh told him to check the used book store. The book was $15.00 used. What percentage was the book marked down?

a)

80%80\%

b)

26%26\%

c)

4%4\%

d)

40%40\%

25.

A cell phone company is offering 40% off a new cell phone if an old cell phone is traded in.


Part 1


What is the amount of the discount if the new cell phone is $251?

a)

$100.40

b)

$42

c)

$116

d)

$141

26.

A cell phone company is offering 30% off a new cell phone if an old cell phone is traded in.


Part 2


What is the discounted price of the new cell phone?

-Remember the original price is $251.

a)

$150.60

b)

$178

c)

$149.67

d)

$118.90

27.

The tennis team is selling tickets to a car wash for $6. When they do not sell very many tickets, the team decreases the price 25%. What is the new cost of a ticket?

a)

$1.50

b)

$2.50

c)

$3.50

d)

$4.50

28.

On Thursday, 30 students went to after-school tutoring. On Friday, 6 students went. What is the percent decrease in the number of students who went to tutoring?

a)

20%

b)

80%

c)

400%

d)

500%

29.
The cheer leading squad sold 480 spirit ribbons, collecting a total of $360.00. What was the cost of each ribbon?
a)
$0.60
b)
$0.75
c)
$60
d)
$75
30.
Derek is buying a mango that weighs 1.6 pound and costs $1.30 per pound. He is also buying a papaya that weighs 2.4 pounds ad costs $1.90 per pound. How much change should Derek receive if he gives the cashier $20.00?
a)
$6.64
b)
$12.80
c)
$13.36
d)
$16.80
31.

-8 + -14

(a)  

32.

6 + (-13)

(a)  

33.

17 + (-4)

(a)  

34.

-20 -14

(a)  

35.

-16 - 15

(a)  

36.

18- (-10)

(a)  

37.

-3 - (- 2)

(a)  

38.

-12 x -7

(a)  

39.

-9 x 2

(a)  

40.

30÷(5)30\div\left(-5\right)  

(a)  

41.

10 ÷(2)-10\ \div\left(-2\right)  

(a)  

42.
At the beginning of the week, the temperature was 14 degrees Fahrenheit. During the week, it decreased by 25 degrees Fahrenheit. What was the temperature by the end of the week?
a)
39 degrees F
b)
11 degrees F
c)
-11 degrees F
d)
-39 degrees F
43.

Andrew buys a 4 dollar red bull every day in January. Select all that represent this situation.

a)

-4 (31)

b)

-124

c)

-4 + 31

d)

31 (4)

44.

The elevations of four locations in Southern California are shown on the number line.


What is the difference, in feet, between the elevations of Corona and Salton City.

a)

-567 feet

b)

567 feet

c)

817 feet

d)

-817 feet

45.
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
46.
Simplify the following expression:
-10x + 15 - 3x + 2
a)
13x2 + 17
b)
-13x2 + 13
c)
-13x + 17
d)
-7x + 17
47.
Simplify the following expression:
-8x + 4x
a)
-12x
b)
-4x
c)
4x
d)
12x
48.
Simplify the following expression:
19 - ( 3 - 5b)
a)
16 + 5b
b)
21 + 5b
c)
16 - 5b
d)
21 - 5b
49.
Combine like terms
3x + 2x + 3y - 7y
a)
5x + 10y
b)
5x + 4y
c)
5x - 4y
d)
5x -10y
50.
Simplify -5(x + 4)
a)
5x + 4
b)
-5x + 4
c)
-5x - 20
d)
-5x + 20
51.
Simplify.
-5n + 2(4 - 5n)
a)
-15n + 8
b)
-5n - 2
c)
-5n + 9
d)
5n + 8
52.
Solve:
-19 + 3x = 3( x - 5)
a)
No Solutions
b)
Many Solutions
c)
x = (-6)
d)
x = 8
53.
Solve the equation: 
x + 7 = 12
a)
x = 5
b)
x = 19
c)
x = -5
d)
x = 84
54.
What is the first step in solving the following equation?
3x - 5 = 20
a)
multiply both sides by 5
b)
add 5 to both sides
c)
divide both sides by 5
d)
subtract both sides by 5
55.
2 (n + 5) = -2 The first step in solving the following equation is ____________
a)
add five to both sides
b)
distribute 2 to all terms in the parenthesis
c)
add 2
56.
-11 + 3(b + 5) = 7
a)
1
b)
-1
c)
3
d)
-3
57.
3x + 2(4x - 4) = 3
a)
4
b)
3
c)
2
d)
1
58.
you must be at least 48 inches to ride the roller coaster.
a)
x > 48
b)
x < 48
c)
x ≤ 48
d)
x ≥ 48
59.
You can spend no more than 20 dollars on your mom's birthday present.
a)
x > 20
b)
x < 20
c)
x ≤ 20
d)
x ≥ 20
60.
You spent less than 5 hours on homework each night.
a)
x > 5
b)
x < 5
c)
x ≤ 5
d)
x ≥ 5
61.
My sister plans to sell more than 250 boxes of cookies.
a)
c>250
b)
c<250
c)
c≤250
d)
c≥250
62.
Write the inequality: 
The Chicago Cubs have won more than 100 games.
a)
x > 100
b)
x < 100
c)
x ≥ 100
d)
x ≤ 100
63.
Write the inequality:
There are fewer than 20 days left in October. 
a)
x > 20
b)
x < 20
c)
x ≥ 20
d)
x ≤ 20
64.
x + 5 < 6 
a)
x < 1
b)
x > 1
c)
x < 11
d)
x > 11
65.

x - 4 < 8

a)

x < 12

b)

x < 8

c)

x > 8

d)

x = 8

66.
s + 9 ≥ -25
a)
s ≥ -18
b)
s ≥ -34
c)
s ≤ 18
d)
s ≥ 34
67.
Makayla began with $45 in her account. She saved $15 every week, She now has more than $205. 
a)
15w + 45 < 205
b)
15w + 45 > 205
c)
45a + 15 < 205
d)
45a + 15 > 205
68.
Joshua earned 12 per hour waiting tables then he spent $35 on gas. He now has less than $25 left. 
a)
12h + 35 < 25
b)
12h - 35 < 25
c)
12h - 35 ≤ 25
d)
12h + 35 ≤ 25
69.
4x - 10 ≤ 22
a)
x ≤ 8
b)
x ≥ 8
c)
x ≤ 3
d)
x ≥ 3
70.
-2x + 7 < 19
a)
x < 6
b)
x < -6
c)
x > 6
d)
x > -6
71.
Find the area
a)
8 ft2
b)
8 ft3
c)
4 ft2
d)
4 ft3
72.
A rectangular brick has a length of 5 centimeters, a width of  9 centimeters and a height of 20 centimeters. What is the surface area of that brick? 
a)
650 cm2
b)
600 cm2
c)
525 cm2
d)
450 cm2
73.
Find the Surface Area.
a)
15m2
b)
16m2
c)
18m2
d)
20m2
74.
Find the surface area of the rectangular prism.
a)
94 cm. squared
b)
60 cm. squared
c)
12 cm. squared
d)
19 cm. squared
75.
Find the volume of the figure.
a)
63 cm³
b)
91 cm³
c)
819 cm³
d)
409.5 cm³
76.
If my diameter is 19 inches, what is my radius?
a)
38 inches
b)
9.5 inches
c)
59.66 inches
d)
119.32 inches
77.
If my radius is 10ft, what is my diameter?
a)
20ft
b)
5ft
c)
31.4ft
d)
62.8ft
78.
what is the circumference of this circle ?
a)
3.14 cm 
b)
37.68 cm
c)
24 cm
d)
68.4 cm
79.
A circular swimming pool is 21 feet in diameter.
How many feet around is the pool?
a)
10.5 ft
b)
42 ft
c)
65.94 ft
d)
131.95 ft
80.
Find the circumference of a circle with a radius of 12.5 mm .
a)
37.68mm
b)
18.84mm
c)
78.5mm
d)
none of the above
81.
The Jones family wants to enclose their circular garden with a fence. To the nearest foot, what is the minimum length of fencing they need to buy?
a)
56.25 ft
b)
246.2 ft
c)
365.56 ft
d)
392.5 ft
82.

Which event has a probability of zero or impossible to happen?

a)

Rolling a 7 on a 6 sided dice.

b)

Tossing a coin and landing on heads.

c)

Rolling an even number on a dice.

d)

The sun rising in the morning.

83.

If a six-sided die is rolled, what is the probability that it will land on an odd number?

a)

36\frac{3}{6}

b)

46\frac{4}{6}

c)

15\frac{1}{5}

d)

00

84.
Probability can be written as ...
a)
a fraction
b)
a decimal
c)
a percent
d)
all of the above
85.

A bag has 3 red marbles, 2 blue and 4 yellow. What is the theoretical probability of pulling a red? Be sure to simplify your answer!!

a)

3/10

b)

3/9

c)

1/9

d)

1/3

86.

According to the meteorologist, there is a 80% chance of rain on Monday. This means that the chance of rain is _________.

a)

Certain

b)

Likely

c)

Unlikely

d)

Impossible

87.

A jar contains 4 blue marbles, 6 green marbles and 10 white marbles. If a marble is drawn from the jar at random, what is the probability that this marble is green?

a)

60%

b)

3%

c)

30%

d)

43%

88.

A gaming website wanted to find out which console its visitors owned. Which choice BEST represents the population in this situation?

a)

Visitors with an 'e' in their user name.

b)

Visitors to the 3DS section.

c)

Visitors over 22.

d)

All the website visitors.

89.

Population or Sample?

A survey of 1353 American households found that 18% of the households own a computer.

a)

Population

b)

Sample

90.

Population or Sample?

Every fifth customer exiting a restaurant is surveyed on how well they liked the food.

a)

Population

b)

Sample

91.

A beverage company wanted to see if people in the United States liked their new logo. Which choice best represents a population?

a)

A selection of logo artists.

b)

Every person in the United States.

c)

A selection of shoppers from different states.

d)

3,800 children age 5 - 15

92.

A musician wanted to see what people who bought his last album thought about the songs. Which choice best represents a sample? .

a)

Every person who bought the album.

b)

A selection of people who didn't want to buy the album.

c)

250 girls who bought the album

d)

A selection of 3,294 people who bought the album.

93.

Before a nation-wide election, a polling place was trying to see who would win. Which choice best represents a sample?

a)

A selection of voters over age 50.

b)

A selection of male voters.

c)

A selection of voters of different ages.

d)

All voters.

94.

A toy store owner tracking how much kids spend each month on toys. Which choice best represents a population?

a)

All of the kids who buy toys.

b)

227 wealthy kids.

c)

228 boys age 7 - 15

d)

235 kids from age 10 to 15.

95.

A mayor wanted to see if the people in his town thought he was doing a good job. Which choice best represents a sample?

a)

1,000 unemployed voters.

b)

The mayor's family.

c)

The residents of the town.

d)

242 voters.

96.

Determine whether you would survey the population or a sample:

You want to know the average height of seventh-graders in Tallahassee.

a)

Survey the population

b)

Survey a sample

97.

A researcher wants to collect data from 800 college students. Which of the following values would be the best sample size for this population?

a)

300

b)

100

c)

65

d)

25

98.

Of the students surveyed, 72% said they preferred basketball as an after school sport. Which statement best describes whether the data were collected from a sample or from a population?

a)

Population, because all students were surveyed.

b)

Population, because all students were not surveyed.

c)

Sample, because all students were surveyed.

d)

Sample, because all students were not surveyed.

99.
According to a random telephone survey of 200 adults, 75% of all working adults in the U.S. are satisfied with their current job. What is the population in this survey?
a)
200 adults
b)
adults in the U.S.
c)
75% of adults
100.
If a cat eats 4 pounds of food in 5 days, how, how many pounds will it eat in 60 days?
a)
50
b)
48
c)
12
d)
72