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Worksheets

7th Grade Math Review

Total questions: 135

Worksheet time: 6hrs 41mins

Name
Class
Date
1.

Which situation does not describe a final value of 0?

a)

A balloon rose to a height of 700 feet above the ground. It then dropped 475 feet and then dropped another 225 feet.

b)

The temperature at 10 a.m. was 2° F. During the next 3 hours it rose 8 degrees only to drop down 10 degrees.

c)

After the first round in a game Percy’s score was –13. He then scored 6 points in the next round and an additional 7 points in the third round.

d)

Chelsea’s bank account had $400 at the beginning of the week. She deposited $200 on Monday, withdrew $550 on Tuesday and withdrew an additional $150 on Wednesday.

2.

Which expression is equivalent to 0?

a)

eight less than ten minus two

b)

negative eleven plus seven plus five

c)

twenty-two minus forty plus nineteen

d)

negative seventeen minus two plus fifteen

3.

Which situation results in a final value of exactly zero?

a)

A student earned $7.50 for each of 8 hours of work. He used $60 of this money to buy school supplies.

b)

The temperature outside was 15° below 0 at 7:00 a.m. The temperature rose 3° in each of the next 4 hours.

c)

A scuba diver descended for 2.4 minutes at a rate of 30 feet per minute. The diver ascended for 1.2 minutes at a rate of 15 feet per minute.

d)

A baker received an order to bake 120 cupcakes. The baker completed the order by baking 24 cupcakes every 30 minutes over a period of 5 hours.

4.

Which point on the number line represents the number that can be added to −3 12\frac{1}{2} to result in zero?

a)

Point A

b)

Point B

c)

Point C

d)

Point D

5.

The high temperature on Monday was −14°F. On Tuesday, the high temperature was 24°F. Which integer represents the difference in high temperatures on these 2 days?

a)

−38°F

b)

−10°F

c)

10°F

d)

38°F

6.

Which fraction equals -9/16? Mark all that apply.

a)

-3/4

b)

9/-16

c)

9/16

d)

3/4

e)

-9/16

7.

Jasper has $45 less in his bank account this week than he did six weeks ago. Which of the following expressions can be used to determine the average weekly change in Jasper's bank account balance during the past six weeks? Select all of the expressions that correctly represent this average weekly change.

a)

- (45 ÷ 6)

b)

(-6) ÷ (-45)

c)

6 ÷ (-45)

d)

- (6 ÷ 45)

e)

(-45) ÷ 6

8.

Monique multiplies two fractions. One fraction is greater than 1, and the other is less than -1. Which statement describes the product of the two fractions?

a)

The product is less than -1.

b)

The product is greater than -1 and less than 0.

c)

The product is greater than 0 and less than 1.

d)

The product is greater than 1.

9.

Orlando and Daisy ordered a pizza for lunch. Orlando ate 1/2 of the pizza, and Daisy ate 3/8 of the pizza. What fraction of the pizza did they eat altogether?

a)

3/10

b)

7/8

c)

3/16

d)

4/3

10.

Lien jogged 2/3 of a mile 1/12 of an hour. What was her speed in miles per hour?

a)

1/8 mph

b)

1/5 mph

c)

4 mph

d)

8 mph

11.

Which pair of expression is equivalent? Mark all that

apply.

a)

14 – 9 and 14 + (-9 )

b)

18 – 6 and -18 + 6

c)

-7 – 22 and 22 – (-7)

d)

3 – 30 and 3 + (-30)

e)

-23 – 4 and -23 + (-4)

12.

Which of the following situations involve opposite quantities combining to make 0?

a)

Angel has a new piggy bank. She adds 3 quarters on Tuesday and adds another 3 quarters on Thursday.

b)

Javaughn opens a new bank account with $30, the deposits another $30 into his account.

c)

The temperature was 4o, then decreased 4o over the next hour.

d)

Deshaun had a bank account balance of -$13, then deposited $13 into his account.

13.

What sum does the number line represent?

a)

-11 + (-9)

b)

-11 + 9

c)

-11 + (-2)

d)

-11 + (2)

14.

The temperature in Franklin County is -5oC. The temperature in Silver City is four degrees less. What is the temperature in Silver City?

a)

-9

b)

-4

c)

-5

d)

9

e)

1

15.

Sayra's checking account balance was $24. She withdrew $46 from her account. What is her account balance after the withdrawal?

a)

-$22

b)

-$70

c)

-$12

d)

$22

e)

$70

16.

The ABC Corporation had a profit of $3,476 in February. They had a loss of -$4,509 in March. What was their total income or loss over the two months?

a)

$7,985

b)

-$1,033

c)

$1,033

d)

-$7,985

e)

-$2,039

17.

Hebert currently has a balance of -$4.00 in his checking account. His bank requires him to maintain a minimum balance of $20.00. How much money does Hebert need to deposit into his account to reach the minimum balance?

a)

$16

b)

$4

c)

$24

d)

$20

18.

A helicopter is flying 458 feet above sea level. A submarine is submerged in water directly under the helicopter at an elevation of -120 feet. What is the distance between the helicopter and the submarine?

a)

578 feet

b)

338 feet

c)

458 feet

d)

538 feet

e)

1,048 feet

19.

What is an equivalent expression for 5-9?

a)

9 + (-5)

b)

5 - (-9)

c)

9 - 5

d)

5 + (-9)

20.

Which expressions below are equivalent to the expression  16(25)-16-\left(-25\right)  ?

a)

-16 + 25

b)

25 - 16

c)

25 + (-16)

d)

-25 + (-16)

21.

Which two points on the number line could be combined to have a sum of zero?

a)

"a" and "c"

b)

"c" and "d"

c)

"a" and "e"

d)

"b" and "e"

22.

A scuba diver's elevation is -36 feet below the surface of the ocean. If the scuba diver ascends 14 feet, what will be their new elevation?

a)

-50 feet

b)

-12 feet

c)

-28 feet

d)

-22 feet

23.

Which two number sentences could be represented by the number line?

a)

-4 + (-6) = -10

b)

4 + (-10) = -6

c)

4 - 10 = -6

d)

4 - (-10) = -6

e)

4 + 10 = -6

24.

Which point on the number line has the greatest value?

a)

A

b)

B

c)

C

d)

D

25.

Which point on the number line has the greatest absolute value?

a)

A

b)

B

c)

C

d)

D

26.

What is the distance between points A and D?

(a)  

27.

What is the distance between points A and B?

(a)  

28.

How many degrees warmer is Minot than Buffalo?

(a)  

29.

If the temperature in Minot decreases by 7o, what will the new temperature be?

(a)  

30.

Use the number line to determine if the statement below is true or false.


|A| > |C|

a)

True

b)

False

31.

Use the number line to determine if the statement below is true or false.


A > B

a)

True

b)

False

32.

Use the number line to determine if the statement below is true or false.


|A|>|D|

a)

True

b)

False

33.

Elisa solved 40 arithmetic problems in 2.5 minutes. Which of the following best represents her unit rate?

a)

2.5 problems per minute

b)

8 problems per minute

c)

16 problems per minute

d)

40 problems per minute

34.

Norshaura has a recipe that requires 3/4 teaspoons of butter for every 2 cups of milk. If Norshaura uses 3 cups of milk, how many teaspoons of butter are needed?

a)

1 1/8 teaspoons

b)

1/2 teaspoons

c)

1 3/8 teaspoons

d)

7/8 teaspoons

35.

The ratio of dogs to cats at the animal shelter is 4:1. If there are a total of 85 dogs and cats at the shelter, how many dogs are at the shelter?

a)

17 dogs

b)

51 dogs

c)

68 dogs

d)

72 dogs

36.

You are traveling down the interstate averaging 50 mph. How much time has passed when you have traveled 120 miles?

a)

60 minutes

b)

6.2 hours

c)

2.4 hours

d)

25 minutes

37.

You are riding your fifteen-speed bike and are averaging 35 mph to your friend's house. She lives 21 miles away. How many minutes will it take you to get to her house?

a)

35 minutes

b)

60 minutes

c)

36 minutes

d)

21 minutes

38.

Which rate is NOT equivalent to the others?

a)

4 for $1.00

b)

6 for $1.50

c)

10 for $2.00

d)

12 for $3.00

39.

Three pounds of apples cost $4.68. How many pounds of apples can you buy for $14.04?

a)

9 lbs

b)

8 lbs

c)

12 lbs

d)

7.5 lbs

40.

Mrs. Watson wants to purchase some apples. She compared prices from several different online grocers. Which grocer's price table is based on a constant unit price?

a)

Groceries 2 U

b)

The Dotted Grocer

c)

The Market

d)

Web Grocer

41.

The price of peaches at Ethan's supermarket can be determined by the equation p=0.28n, where P is the price and n is the number of pounds of peaches. What is the constant of proportionality?

a)

$0.56/2 pounds

b)

$1/pound

c)

$0.28/pound

d)

$1.50/3 pounds

e)

There is no constant of proportionality because the price of peaches is not directly proportional to the weight of the peaches.

42.

Which table shows a proportional relationship between x and y?

a)

A

b)

B

c)

C

d)

D

43.

The graph shows the relationship between the cost of peaches and plums, and the number of pounds purchased. Which of the following statements are true? (Select all the true statements)

a)

The unit cost of peaches is greater than the unit cost of plums.

b)

The unit cost of plums is greater than the unit cost of peaches.

c)

The cost of peaches and plums is not proportional to the purchased.

d)

The cost of peaches and plums is proportional to the weight purchased.

44.

Mr. Tubbs baked chocolate chip cookies for a bake sale. The graph shows the relationship between the number of cookie batches baked and the number of cups of chocolate chips used.


What does the constant of proportionality represent?

a)

The total number of cookie batches baked

b)

The total number of cups of chocolate chips used

c)

The number of cookie batches per cup of chocolate chips used

d)

The number of cups of chocolate chips used per cookie batch

45.

What was Brian's unit rate?

a)

3/2 word per minute

b)

30 minutes per word

c)

60 minutes per word

d)

30 words per minute

46.

Mr. Diaz changed his showerhead to conserve water and energy. The table below shows the relationship between the amount of flow and the duration of the water flow.

Which statement best describes the rate of water flow?

a)

0.4 gallons per minute

b)

2.1 gallons per minute

c)

2.5 gallons per minute

d)

3.0 gallons per minute

47.

The graph below shows a builder’s profit for townhouses he sold. What is the builder’s increase in profit if he sells 5 more townhouses?

a)

$8,000

b)

$20,000

c)

$40,000

d)

$45,000

48.

The graph shows data from a science experiment in which the temperature of a substance was measured over time. What is the constant of proportionality for degrees per minute?

a)

4

b)

2

c)

1/2

d)

1/4

49.

Elena deposits $1,500 in a savings account that earns 3.0% simple interest per year. If no deposits or withdrawals are made during the year, how much money will be in her account after one year?

a)

$1,530

b)

$1,545

c)

$1,800

d)

$1,950

50.

Kristen bought a game for $24.95. She paid 7.75% sales tax. How much did she pay?

a)

$17.20

b)

$19.34

c)

$26.88

d)

$32.70

51.

Joseph bought a bike for $78. He sold it to Cara for 8% less than he bought it for. How much did Cara pay for the bike?

a)

$62.40

b)

$70.00

c)

$71.76

d)

$77.20

52.

There are 240 students at Madison Middle School. The ratio of boys to girls is 2:3. How many girls go to Madison Middle School?

a)

160

b)

144

c)

96

d)

80

53.

Mitch took out a school loan for $24,000. The interest rate on the loan was 8%. Mitch paid off the loan in just 5 years. How much did he pay altogether?

a)

$9,600

b)

$14,400

c)

$33,600

d)

$31,200

54.

Greg put $1,000 into an investment that had 6% annual interest. The money is left in the account for 2 years. How much interest do you get at the end of those 2 years?

a)

$1,006

b)

$1,600

c)

$120

d)

$880

55.

At best buy they have a 42” TV that sells for $1250 and is on sale for 15% and sales tax is 6.5%. What is the final cost?

a)

$187.50

b)

$11,130

c)

$1,131.56

d)

$1,250

56.

The ratio of rabbits to chickens at the state fair was 7:9. If there were 693 chickens, how many rabbits were there?

a)

539

b)

567

c)

772

d)

891

57.

Elijah earn $200 for 8 hours of work. What is the unit rate (in dollars per hour)?

a)

$50 per hour

b)

$12 per hour

c)

$192 per hour

d)

$25 per hour

58.

Robert is paid $12.00 per hour to chop firewood. He chops 40% of the pile of firewood in 3/4 of an hour. At this rate, how much will Robert be paid to chop the entire pile of firewood?

a)

$18.00

b)

$22.50

c)

$30.00

d)

$40.00

59.

Evangeline opens a savings account with a $500 deposit. The savings account earns 2.5% simple interest each year. If Evangeline leaves the account alone for three years, what will her account balance be at that point?

a)

$37.50

b)

$537.50

c)

$3750

d)

$4250

60.

Which two of the pumping rates described below represent a unit rate of 3/5 gallon per minute?

a)

Pump A removes 1/3 gallon in 1/5 minute.

b)

Pump B removes 1/5 gallon in 1/3 minute.

c)

Pump C removes 1/6 gallon in 1/10 minute.

d)

Pump D removes 1/3 gallon in 5/9 minute.

e)

Pump E removes 3/4 gallon in 4/5 minute.

61.

Todd cleaned out 1/4 of his storage shed in 2/3 hour.

If Todd's rate stayed the same, how much of his shed was cleaned out in one hour?

a)

1/6

b)

2/7

c)

3/8

d)

4/9

62.

Glenn drives 1/3 of the way to a grocery store and uses 1/11 gallon of gas. What fraction of the distance can he drive to the store with one gallon of gas?

a)

1/14

b)

1/33

c)

3/11

d)

11/3

63.

The manager of a used car lot decides to reduce the price of a $12,000 car by 15%. If the car is not sold by the end of the month, the manager plans to take another 30% off the price. What would be the new sale price of the car after the second discount?

a)

$4860

b)

$5400

c)

$6600

d)

$7140

64.

Amy used 3/4 of a glue stick to decorate 1/4 of his poster. At this rate, how many glue sticks will he use to decorate one entire poster?

a)

3/16 of a glue stick

b)

1/3 of a glue stick

c)

1 glue stick

d)

3 glue sticks

65.
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)
8
b)
15
c)
40
d)
29
66.
Two ratios that are equal are
a)
similar sides
b)
unit rates
c)
congruent
d)
proportional
67.
What is the unit rate in this proportional relationship?
a)
60 miles/1 hour
b)
120 miles/ 2 hours
c)
1 mile/ 1 hour
68.
Does this graph represent a proportional relationship?  
a)
No, because it doesn't pass through the origin.
b)
Yes, because it doesn't pass through the origin.
c)
Yes, because it intersects the y axis.
d)
No, because it intersects the x axis.
69.
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
70.
Is this table proportional?
a)
Yes
b)
No
71.
In the equation y = 14x, what is the constant of proportionality?
a)
y
b)
x
c)
14
72.

About 13 out of 20 homes have a personal computer. On a street with 60 homes, how many would you expect to have a personal computer?

a)

39 Computers

b)

4.3 Homes

c)

39 Homes

d)

4.3 Computers

73.
Simplify the complex fraction shown.
a)
9/40
b)
40/9
c)
10/36
d)
5/18
74.
Is this table proportional?
a)
Yes
b)
No
75.
Which of these describes the unit rate?
a)
a unit of measure
b)
a fraction with a numerator of one
c)
a fraction with a denominator of one
d)
a proportion
76.
Find the unit rate of $7.96 for 5 pounds of jolly ranchers. 
a)
$0.63 per pound
b)
1.59 pounds
c)
$1.59 per pound
77.
Is this graph proportional?
a)
Yes
b)
No
78.
Which has the lowest price per pack?
a)
Tyson
b)
Pilgrim's
c)
Both the same price
79.
Jeff ran 6 miles in 4 hours. At this rate, how many miles will he run in 6 hours?
a)
9 miles
b)
4 miles
c)
6 miles
d)
36 miles
80.
How far will you travel in 3.5 hours?
a)
100 miles
b)
125 miles
c)
150 miles
d)
175 miles
81.
Simplify the complex fraction.
a)
18
b)
1/18
c)
9/72
d)
1/8
82.
What is the constant of proportionality of this table?
a)
0
b)
1
c)
10
d)
13
83.
Is this graph proportional?
a)
Yes 
b)
No
84.
How many calories are burned per minute?
a)
0
b)
5
c)
10
d)
100
85.

When do we use the "Keep-Change-Change" strategy?

a)

When we subtract ALL decimals/fractions

b)

Any time we are adding OR subtracting decimals/fractions

c)

When we subtract NEGATIVE decimals/fractions

d)

When MULTIPLYING decimals/fractions

86.
A sprinter runs 400 meters in 54 seconds. What is the runner’s average running rate in meters per second? Round to the nearest tenth. 
a)
8.5 meters per second
b)
7.8 meters per second
c)
7.4 meters per second
d)
6.8 meters per second
87.
Which expression is equivalent to the algebraic expression below?     3(–2x – 1)
a)
x+2
b)
x-1
c)
-6x-3
d)
-6x-1
88.
Megan surveyed a random sample of 60 students at her school and found that 42 of them ride the bus to school each day. If there are 320 students at Megan’s school, about how many of them ride the bus to school each day?
a)
348
b)
224
c)
188
d)
132
89.
4(x + 1) = -16
a)
-3
b)
-5
c)
-63
d)
-65
90.
What is the product of the expression? -7(-3)
a)
-21
b)
-10
c)
10
d)
21
91.
Find the area of the rectangle.
a)
40 cm
b)
13 cm
c)
30 cm
d)
26 cm
92.
What is the solution of the inequality
 x - 26 > 65?
a)
x > 39
b)
x < 39
c)
x > 91
d)
x < 91
93.
Name the constant of proportionality.
a)
8
b)
16
c)
6
d)
3
94.
Find the median of people at gym at 4 p.m. in 10 days.
35    37    33    30    28    24    27    19    21    8
a)
27
b)
27.5
c)
28
d)
30
95.
A die is rolled. What is the probability that the result is less than 3 ?
a)
1/2
b)
1/3
c)
1/4
d)
1/6
96.
Sam bought an $85.00 jacket for 40% off of the regular price.  How much did he pay for the jacket? 
a)
75
b)
51
c)
36
d)
isaiah
97.
Madi took a test.  Out of 12 questions, she answered nine correctly.  What percent of the questions did she score correctly?
a)
25%
b)
50%
c)
75%
d)
80%
98.
-3+8
a)
5
b)
-5
c)
11
d)
-11
99.
What type of angle is this? 
a)
acute
b)
obtuse
c)
right
100.
What are supplementary angles?
a)
Angles that add up to 180°
b)
Angles that add up to 90°
c)
Angles that are equal to each other
d)
Angles that are opposite of each other when lines intersect
101.
A large pizza at Angelo’s Pizzeria has a diameter of 14 inches. What is the area of the pizza? Use 3.14 for π. Round to the nearest tenth.
a)
44
b)
122.7
c)
153.9
d)
615.4
102.
What is the rate of change for the following graph?
a)
80
b)
20
c)
40
d)
160
103.
Find the measure of the missing angle.
a)
30o
b)
110o
c)
150o
d)
40o
104.
The temperature at 6:00 was 9 degrees below zero.  The temperature dropped to 11 degrees below zero at 8:00. What is the difference between temperatures? 
a)
18 degrees
b)
20 degrees
c)
2 degrees
d)
0 degrees
105.
Solve the proportion.
a)
k=5
b)
k=3.3333333
c)
k=60
d)
k=90
106.
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
107.
3 - 2a + 3a + 5a
a)
5a+3
b)
5a-3
c)
6a + 3
d)
8a+3
108.
You pick a marble from this bag.
What is the probability you will choose either a black or white marble?
a)
3/5
b)
9/100
c)
1/10
d)
2/5
109.
4x - 2 ≤ -22
a)
x ≥ -5
b)
x ≥ -6
c)
x ≤ -6
d)
x ≤ -5
110.
Calculate the Volume
a)
410 cm3
b)
420 cm3
c)
402 cm3
d)
401 cm3
111.
Write an expression for the following. Jerry has $20 and makes $7 per hour.
a)
7x + 20
b)
7 + 20x
c)
20 + 7
112.
What is the radius of this circle?
a)
18
b)
10
c)
9
d)
8
113.
Bob has the following scores in pre-algebra.
73, 87, 93, 89, 92, 81, 87, 91
What is his current average?  (Mean is average)
a)
86.7
b)
85.35
c)
89.2
d)
86
114.

How do you simplify the expression 2(3x - 1) - 3x + 4?

a)

6x + 2

b)

3x + 2

c)

3x - 2

d)

6x - 2

115.

What is a proportional relationship?

a)

A relationship where two quantities are unrelated.

b)

A relationship where two quantities maintain a constant ratio or rate.

c)

A relationship that changes over time.

d)

A relationship that only applies to whole numbers.

116.

What is the scale in a map?

a)

The scale is the ratio of a distance on the map to the actual distance it represents.

b)

The scale is the total area covered by the map.

c)

The scale is the color scheme used in the map.

d)

The scale is the type of material used to print the map.

117.
Write .506 as a percent.
a)
5.06%
b)
506%
c)
50.6%
d)
500.6%
118.
Convert to a decimal
           2/8
a)
.25
b)
.34
c)
.75
d)
.44...
119.
What is the fraction for the decimal 0.6?
a)
1/6
b)
6/100
c)
3/6
d)
3/5
120.
26 is 5% of what number?
a)
1.3
b)
2.5
c)
25.95
d)
520
121.
Sarah earns $20 a day working after school. She spent 30% of her daily earnings on Monday. How much money did she spend on Monday?
a)
$1.40
b)
$6
c)
$0.60
d)
$14
122.
What is 20% of 65?
a)
13
b)
15
c)
16
d)
13.75
123.
What is 30% of 80?
a)
30
b)
24
c)
2.4
d)
56
124.
What is 125% of 84 ?
a)
105
b)
188.5
c)
473.4
d)
356.7
125.
 Shirley spelled 12 of her 15 spelling words correctly on the test.  What percent grade did Shirley get on the test?
a)
40%
b)
50%
c)
80%
d)
60%
126.
. If Michelle rollerblades around a circular track with a radius of 80 meters, how far does she skate? Use 3.14 for π. Round to the nearest tenth. 
a)
251.2 m
b)
502.4 m
c)
12,352 m
d)
20,096 m
127.
A sprinter runs 400 meters in 54 seconds. What is the runner’s average running rate in meters per second? Round to the nearest tenth. 
a)
8.5 meters per second
b)
7.8 meters per second
c)
7.4 meters per second
d)
6.8 meters per second
128.
A home improvement store normally sells 20-foot extension ladders for $225. This week the ladders are discounted by 20%. What is the sale price of the ladders?
a)
180
b)
165
c)
60
d)
45
129.
A muffin recipe calls for 8 cups of flour and yields 24 muffins. If Natalie wants to make 60 muffins, how much flour will she need? 
a)
180
b)
24
c)
20
d)
3.2
130.
Find the median of people at gym at 4 p.m. in 10 days.
35    37    33    30    28    24    27    19    21    8
a)
27
b)
27.5
c)
28
d)
30
131.

Angles whose measures have a sum of 90°

a)

Complementary Angles

b)

Supplementary Angles

c)

Vertical Angles

d)

Opposite Interior Angles

132.

Angles whose measures have a sum of 180°.

a)

Supplementary Angles

b)

Complementary Angles

c)

Vertical Angles

d)

Right Angles

133.

The middle score of the data set when the data is put in order from least to greatest.

a)

Mean.

b)

Median.

c)

Mode.

134.

The score or number that happens the most.

a)

Mean.

b)

Mode.

c)

Median.

135.

Dmitri is a real estate agent. He earns a 3% commission on each house he sells.


How much commission will he earn if he sales a house for $270,000?

a)

$81

b)

$810

c)

$8100

d)

$81,000