wayground logo

Free Printable Worksheets

Font size

S
M
L
XL
Worksheets

7th Grade math

Total questions: 120

Worksheet time: 2hrs 22mins

Name
Class
Date
1.

-2+(-2)

a)

-4

b)

4

c)

0

d)

1

2.

-2+(2)

a)

-4

b)

4

c)

0

d)

1

3.

-2(2)

a)

-4

b)

4

c)

0

d)

1

4.

2(2)

a)

-4

b)

4

c)

0

d)

1

5.

A person climb 12 steps up a ladder. What integer represents this?

a)

12

b)

-12

c)

24

d)

0

6.

Choose all that represent the integer -2

a)

withdrawing money from a bank account

b)

deposit money

c)

falling

d)

climbing

e)

descending

7.

Choose all that represent the integer 2

a)

withdrawing money from a bank account

b)

deposit money

c)

falling

d)

climbing

e)

descending

8.

5X +2x=14

solve for x

a)

7

b)

14

c)

2

d)

9

9.

16X -2x=7

solve for x

a)

-1/2

b)

-2

c)

1/2

d)

2

10.

2m-9=11


solve for m

a)

10

b)

-10

c)

17

d)

-17

11.

-2m-9=11


solve for m

a)

10

b)

-10

c)

17

d)

-17

12.

 3+7 12x3\ge+7\ -12x  

a)

 13x\frac{1}{3}\le x  

b)

 18 x\frac{1}{8\ }\le x  

c)

 2  x2\ \ge\ x  

d)

 x12x\le12  

13.

 100>B 10100>B\ -10  

a)

 110 >B110\ >B  

b)

 90>B90>B  

c)

 90<B90<B  

d)

 110<B110<B  

14.

 2c 34\frac{2c\ }{3}\le4  

a)

 c6c\le6  

b)

 c6c\ge6  

c)

 c12c\ge12  

d)

 c12c\le12  

15.

 2c 38\frac{2c\ }{3}\le8  

a)

 c6c\le6  

b)

 c6c\ge6  

c)

 c12c\ge12  

d)

 c12c\le12  

16.

 2c 38\frac{-2c\ }{3}\le8  

a)

 c6c\le6  

b)

 c6c\ge6  

c)

 c12c\ge-12  

d)

 c12c\le12  

17.

solve when B is 12


3B=

a)

15

b)

36

c)

4

d)

1

18.

Mr. Sanford drove 90 miles in 2 hours. How fast was he going?

a)

40 miles per hour

b)

20 miles per hour

c)

55 miles per hour

d)

45 miles per hour

19.

Mr. Sanford drove 90 miles in 2 hours. How far will he go in 6 hours?

a)

180 miles

b)

200 miles

c)

270 miles

d)

45 miles

20.

y=kx. which letter is the constant of proportionality?

a)

y

b)

k

c)

x

21.

Alexis typed 200 words in 5 minutes. What is an equation in y=kx form?

a)

5=100x

b)

y=40x

c)

y=5x

d)

y=200x

22.

Khani typed 200 words in 5 minutes. How many words does he type per minute?

a)

20

b)

40

c)

200

d)

1000

23.

Alexis typed 200 words in 5 minutes. How many words would Alexis type in 8 minutes?

a)

320

b)

400

c)

200

d)

40

24.

Jazmin hit 120 base hits in 40 games. How many hits does she get per game?

a)

3

b)

160

c)

80

d)

12

25.

Jazmin hit 120 base hits in 40 games. What is an equation for this?

a)

y=3x

b)

y=120x

c)

y=40x

d)

y=12x

26.

Jazmin hit 120 base hits in 40 games. How many would she hit in 4 games?

a)

3

b)

120

c)

4

d)

12

27.

Maddix bought 30 tickets for a concert. She had 9 friends and herself that she had to split them up between. How many tickets did each person get, including her?

a)

9

b)

1

c)

3

d)

10

28.

Adeline bought 130 ounces of chips for 8 dollars. How much was it per ounce?

a)

6 cents

b)

60 cents

c)

6 dollars

d)

60 dollars

29.

Which is 9 cents?

a)

.9

b)

.09

c)

$9

30.

Which is 90 cents?

a)

.9

b)

.09

c)

$9

d)

$90

31.

12 boys to 18 girls is which of the following as a ratio? Choose all

a)

3 boys to 6 girls

b)

2 boys to 3 girls

c)

2/3

d)

3/6

32.

What is a ratio of 100 apples to 200 oranges ?

a)

1 apple to 2 oranges

b)

1/2

c)

1:2

d)

2 apples to 1 orange

e)

2/1

33.

An toy cost t dollars. The tax was 10%. What is an equation that will give the total cost of the toy? Choose all

a)

t(1.10)

b)

(1.10)t

c)

.10t

d)

1.10t

e)

(.10)t

34.

An toy cost t dollars. The tax was 10%. What is an equation that will give the tax of the toy? Choose all

a)

t(.10)

b)

(1.10)t

c)

.10t

d)

1.10t

e)

(.10)t

35.

A toy, t has a dicount of 20 %. What is an equation that will solve for the total?

a)

1.20(t)

b)

t-.20(t)

c)

1.20t

d)

t+.20t

36.

A toy, t has a dicount of 20 % and a tax of 10 %. What would you solve for first?

a)

tax

b)

discount

37.

What is 5% of 100?

a)

5

b)

100

c)

500

d)

50

38.

What is 5% of 200?

a)

5

b)

10

c)

500

d)

50

39.

What is 15% of 200?

a)

5

b)

10

c)

30

d)

50

40.

10 is what percent of 40?

a)

20

b)

25

c)

30

d)

400

41.

12 is 30 percent of what number?

a)

40

b)

50

c)

36

d)

10

42.

New cost of an item is $40. The old price was $45. What is the percent decrease?

a)

1%

b)

11%

c)

13%

d)

3%

43.

Round 412.122 to the hundredth spot

a)

412.13

b)

412.1

c)

412.12

d)

412.2

44.

Round 412.122 to the tenth spot

a)

412.13

b)

412.1

c)

412.12

d)

412.2

45.

Round 412.122 to the nearest whole number

a)

412

b)

413

c)

412.12

d)

412.2

46.

Turn 34.9 into a fraction. Choose 2

a)

 34 91034\ \frac{9}{10}  

b)

 340100\frac{340}{100}  

c)

 34.9100\frac{34.9}{100}  

d)

 3490100\frac{3490}{100}  

47.

Turn 3.12 into a fraction, Choose all answers

a)

3 121003\ \frac{12}{100}

b)

3 3253\ \frac{3}{25}

c)

312100\frac{312}{100}

d)

3110\frac{31}{10}

48.

Which is smaller? 1/3 or 1/2?

a)

1/3

b)

1/2

49.

y=7x. When y is 14, what is x?

a)

2

b)

98

50.

y=7x. When x is 14, what is y?

a)

2

b)

98

51.
Which is equivalent to 5 x 5 x 5 x 5
a)
53
b)
54
c)
45
d)
55
52.
Which is equivalent to 24?
a)
8
b)
20
c)
16
d)
12
53.
What is the opposite of 12
a)
12
b)
-12
c)
24
d)
-24
54.
The high temperature was -7 degrees on Monday and -15 on Tuesday.  On which day was it the warmest?
a)
Monday
b)
Tuesday
55.
Find the sum. 
-10 + 20
a)
-10
b)
10
c)
0
d)
30
56.
Multiply
-5 x -4
a)
20
b)
-20
57.
What is the Greatest Common Factor of 15 and 12?
a)
1
b)
3
c)
5
d)
60
58.
What is the LCM of 15 and 12?
a)
1
b)
3
c)
5
d)
60
59.
Reduce the fraction to simplest form.
7/28
a)
7/28
b)
1/4
c)
1/7
60.
Solve for x.
-3 + 4x = 25
a)
7
b)
5
61.
Solve the equation for x. 
5x + 4 = 36 - 3x
a)
3
b)
4
c)
1/4
62.
Simplify the expression.
14b -14b + 7r
a)
b +7r
b)
7r
c)
7
63.

Solve the inequality.


4x + 6 < 18

a)

x < 3

b)

x > 3

c)

x < 8

d)

x > 8

64.

Use the Distributive Property to expand the expression below.


3(2c - 4)

a)

6c - 4

b)

5c - 4

c)

-6c

d)

6c - 12

65.

Evaluate the expression is a = 6


a + a2 =

a)

18

b)

42

c)

612

66.

Combine like terms to simplify the expression below.


54 - c + 3c2 - 10

a)

4c2 +44

b)

4c2 - 44

c)

3c2 - c + 44

d)

3c2 - c - 44

67.
−x2+2−1+6x2−4x2
a)
x 2  -1
b)
x2 +1
c)
3x2 +1
d)
x 2+3
68.
Simplify the expression:
6 + 2(7x - 3) 
a)
12 + 7x
b)
14x
c)
8x + 6
d)
9 + 7x
69.
How much tip should you leave if you want to tip 23% at Applebee's on a $27.31 bill?
a)
$6.28
b)
$33.59
c)
$21.03
70.
Ralph buys a computer for $675. The sales tax rate is 6%. How much did Ralph pay for the computer?
a)
40.50
b)
715.50
c)
6.00
d)
634.50
71.
What is 82% As a decimal?
a)
8200
b)
820
c)
0.082
d)
0.82
72.
What percent is 40 of 200?
a)
10
b)
30
c)
20
d)
40
73.
What is the first step to solve this equation:
11 - 3x = 44
a)
Add 3 to both sides
b)
Subtract 11 from both sides
c)
Add 11 to both sides
d)
Divide 3 on both sides.
74.
In this term, 3a2bc, what are the variables?
a)
3 and 2
b)
3
c)
2
d)
a, b, and c
75.
Which of the following is a unit rate
a)
56 miles in 2 minutes
b)
$4.59 for 3 pounds
c)
$10 per student
d)
$30 for 15 minutes
76.
Solve for x
a)
x=6
b)
x =1/6
c)
x = 7
d)
x=9
77.
Solve for x 
a)
x = 98/5
b)
x = 5/98
c)
x = 101/5
78.
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
79.
Find missing side
a)
5
b)
7
c)
9
d)
11
80.

What is the absolute value?

a)

The opposite of a number.

b)

The number that when added together equals 0.

c)

The distance a number is from zero.

d)

The number that when added together equals 1.

81.

An equation with two equal ratios

a)

proportion

b)

rate

c)

unit rate

d)

reciprocal

82.

A boat traveled 27 miles in 2 hours. At this rate, how many miles will the boat travel in 1/2 hour?

a)

13 1/2 mi

b)

6 3/4 mi

c)

3 3/8 mi

d)

24 1/2 mi

83.

Ms. Brown had $80 to purchase school supplies for her class. She bought 32 glue sticks and 32 boxes of crayons. Each glue stick cost $1.40, and each box of crayons cost $0.59. How much money did Ms. Blankenship have left after these purchases?

a)

$16.32

b)

$18.88

c)

$63.68

d)

$35.20

84.

The price of tablet was reduced from $250 to $200. By what percentage was the price of the tablet reduced?

a)

20%

b)

25%

c)

80%

d)

50%

85.

What is the solution to this equation?


30.16 = 17.56 + 5x

a)

6.032

b)

3.512

c)

12.6

d)

2.52

86.
What is the additive inverse of +5?
a)
1/5
b)
1
c)
0
d)
-5
87.
15 - (-6)
a)
-21
b)
9
c)
-9
d)
21
88.
(-14) - (-5)
a)
9
b)
-19
c)
-9
d)
19
89.
What is the distance between points A and C?
a)
4 units
b)
-4 units
c)
8 units
d)
-8 units
90.
What is the distance between the points A and B?
a)
3 units
b)
2 units
c)
-3 units
d)
-2 units
91.
What is | -3 |?
a)
-3
b)
3
92.
Use counters to determine the answer of this problem.
a)
9
b)
10
c)
-9
d)
-10
93.
Use counters to determine the answer of this problem.
a)
7
b)
5
c)
-7
d)
-5
94.
Which of the following is farthest to the left on the number line? 
a)
-6.5
b)
-6
c)
-5
d)
6.9
95.

Corey has 56 dollars in his bank account. He deposited 42 dollars into his account.  Then he withdraw 10 dollars. How much money does he have left? 

a)

4

b)

24

c)

88

d)

32

96.

Solve the proportion:

a)

4

b)

14

c)

8

d)

10

97.

Solve for x.  4x+7=15-4x+7=15  

a)

 x=32x=-32  

b)

 x=2x=2  

c)

 x=5.5x=5.5  

d)

 x=2x=-2  

98.

Solve 5.5 7.55.5-\ -7.5  

a)

13

b)

2

c)

-2

d)

-13

99.

Solve.  15÷34\frac{1}{5}\div\frac{3}{4}  

a)

 34\frac{3}{4}  

b)

 1520\frac{15}{20}  

c)

 320\frac{3}{20}  

d)

 415\frac{4}{15}  

100.

Tim is bringing donuts to work as a treat for his co-workers. He buys 12 donuts for $9.96. How much does each donut cost?

a)

$8.30

b)

$0.83

c)

$0.13

d)

$119.52

101.

What is  43.65\left|43.65\right|  ?

a)

 43.6543.65  

b)

 43.65-43.65  

c)

 43.65-\left|-43.65\right|  

102.

Solve.  512+23\frac{5}{12}+\frac{2}{3}  

a)

 715\frac{7}{15}  

b)

 1312\frac{13}{12}  

c)

 814\frac{8}{14}  

103.

Each equation represents a proportional relationship. Choose the equations for which the constant of proportionality is 1/4?

a)

4y=x

b)

y=4x

c)

32y=4x

d)

y=0.25x

e)

1/4y=2x

104.

Each equation represents a proportional relationship. Choose the equations for which the constant of proportionality is 4/5?.

a)

4y=5x

b)

5x=4y

c)

5y=4x

d)

y=0.25x

e)

y=.8x

105.

Each equation represents a proportional relationship. Choose the equations for which the constant of proportionality is 7

a)

y=7x

b)

7y=49x

c)

7y=40x

d)

7y=x

e)

77y=7x

106.

Almost Pinejuice (y) costs one quarter as much as pineapple juice (p) does. What equation represents this statement?

a)

y = 14p

b)

y = 4p

c)

y=14py=\frac{1}{4}p

d)

y=4+p

107.

turkey (y) costs half as much as ham (h) does. What equation represents this statement?

a)

y=1/2h

b)

1/2y=1/2h

c)

y+1/2=h

d)

2y=2h

108.

What is the quotient -3 ÷ 9?

a)

3

b)

-3

c)

13-\frac{1}{3}

d)

13\frac{1}{3}

109.

What is the quotient 6 ÷ 9?

a)

2/3

b)

3

c)

-3

d)

23-\frac{2}{3}

110.

What is the quotient -3 ÷ 12?

a)

4

b)

-4

c)

14\frac{1}{4}

d)

14-\frac{1}{4}

111.

What is the quotient 9 ÷ -3?

a)

-3

b)

1/3

c)

-1/3

d)

3

112.

The highest temperature recorded in June in San Antonio was 109°F. The lowest temperature was 64°F. Which integer best represents the LOWEST temperature recorded in June in San Antonio?

a)

64

b)

-64

c)

109

d)

-109

113.

John owes a debt of $500 to his landlord. His father has agreed to pay 3/5 of this amount for him. How much will his father pay?

a)

300

b)

200

c)

500

d)

100

114.

Which choices are correct when determining the distance between −240 and −35 on a number line?

a)

|−240 − (−35| = 205

b)

Distance is always positive.

c)

Distance is always negative

d)

−|−240 − (−35| = −205

115.

The lowest elevation in the world is in the Dead Sea at 413 feet below sea level. The highest elevation in the world is Mount Everest at 29,035 feet above sea level. Which integer BEST represents the elevation of the Dead Sea?

a)

-413

b)

413

c)

29,035

d)

-29,035

116.

Krystal and 4 friends were going to the movies. Each ticket cost $12. They bought 2 buckets of popcorn at $4.50 each and then each person bought their own soda at $4.75 each. How much money did they spend in all?

a)

$92.75

b)

$89.50

c)

$90

d)

$86

117.

Amir can ride his bike 1/2 mile in 1/10 hour. How many miles can Amir ride his bike in 2 hours?

a)

3

b)

4

c)

9

d)

10

118.

Jeff uses 1/8 tablespoon of vinegar in 1/3 cup of water to make a cleaning solution. How many tablespoons of vinegar will he use to make a cleaning solution that has 4 cups of water?

a)

1 1/2

b)

1

c)

3

d)

3 1/2

119.

Madison makes homemade bird feed. She uses 2 cups of oats and 3/4 cup of sunflower to make 1 batch. To make a weeks worth of bird feed, Madison needs to make 7 batches. How much oats and cups of sunflower are needed for 7 batches?

a)

14 cups of oats and 5 and 1/4 cups of sunflower

b)

14 cups of oats and 2 and 1/4 cups of sunflower

c)

21 cups of oats and 5 and 1/4 cups of sunflower

d)

21 cups of oats and 3 and 1/4 cups of sunflower

120.

Find an additional value that is proportional to this relationship: A company charges $8 to rent a kayak for 1 hour, $16 for 2 hours, and $24 for 3 hours.

a)

$64 to rent a kayak for 8 hours

b)

$644 to rent 5 hours

c)

$164 to rent a kayak for 10 hours

d)

$4 to rent a kayak for 64 hours