Free Printable 7th Grade Review 21-22

1.

What is the opposite of the integer on the number line?

a)

2

b)

-1

c)

1

d)

0

2.

What is the opposite of the integer on the number line?

a)

0

b)

-7

c)

7

d)

1

3.

Name the integer...the opposite of -17

a)

1

b)

-17

c)

7

d)

17

4.

deposit

a)

negative

b)

positive

5.

buy

a)

positive

b)

negative

6.

colder

a)

positive

b)

negative

7.

above sea level

a)

negative

b)

positive

8.

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

9.

Lucas owed his friend $10. He made some money raking leaves and paid his friend back $7. What is his balance now?

a)

10 + 7 = 17

b)

10 - 7 = 3

c)

-10 + 7 = -3

d)

-10 - 7 = -17

10.

Classify the number: -23

a)

whole, integer, rational, real

b)

integer, rational, real

c)

integer, irrational, real

d)

whole, integer, rational, real

11.

An example of an integer is...

a)

9.1

b)

8/9

c)

-9

d)

-2.3

12.

Which of the following statements is always true?

a)

All integers are whole numbers

b)

all rational numbers are integers

c)

some whole numbers are not rational numbers

d)

all whole numbers are integers

13.

List all the classifications of numbers that apply to the real number.
436

a)

Irrational

b)

Rational, Integer, Whole

c)

Natural, Whole, Integer, Rational

d)

Rational, Integer

14.

What is a repeating decimal or decimal that terminates called ?

a)

Natural Number

b)

Irrational Number

c)

Rational Number

d)

Whole Number

15.

Write as a Decimal

²/₃

a)

0.23

b)

0.2

c)

0.3

d)

0.6̅

16.

Write the fraction as a decimal

¹/₁₁

a)

0.0̅9

b)

0.11

c)

0.111

d)

1.11

17.

Write the fraction as a decimal

3 ³/₈

(a)

18.

Write the fraction as decimal

⁴/₃

a)

0.4̅

b)

0.3̅

c)

1.3̅

d)

4.3

19.

How would the fraction 4/10 be written as a decimal?

a)

4.10

b)

.4

c)

.04

d)

40

20.

Convert 2/25 from a fraction to a decimal

a)

2.25

b)

.25

c)

.8

d)

.08

21.

$Simplify:\ \frac{-45}{9}$

(a)

22.

$-17-\left(-2\right)=$

a)

19

b)

-19

c)

15

d)

-15

23.

Evaluate the following expression:
-3x² - 5x + 7 when x = -2

a)

5

b)

10

c)

12

d)

7

24.

Evaluate the following expression:
-x - 6x + 10 when x = 5

a)

-20

b)

-25

c)

25

d)

20

25.

Evaluate the following expression:
25x(x - 4) when x = -1

a)

100

b)

115

c)

125

d)

130

26.

Evaluate the following expression:
t²- t + 1 when t = 5

a)

25

b)

22

c)

23

d)

21

27.

If a = 5 and b = 6, what is the value of ab - b?

a)

10

b)

12

c)

20

d)

24

28.

Evaluate the expression. Let g = 3 h = 9
4h + 2g + 4

a)

42

b)

46

c)

34

d)

58

29.

4y – 5
y = 6

a)

12

b)

13

c)

19

d)

34

30.

r(r – 9)
r = 11

a)

12

b)

22

c)

44

d)

99

31.

3u + 12
u = 7

a)

33

b)

34

c)

35

d)

23

32.

(s – 5)²
s = 13

a)

34

b)

64

c)

144

d)

16

33.

-6k + 7k=

a)

k

b)

-k

c)

12k

d)

-12k

34.

-r -10r

a)

11r

b)

-11r

c)

9r

d)

-11

35.

12r - 8 -12

a)

8

b)

12r + 4

c)

12r -20

d)

-8

36.

-2x + 11 + 6x

a)

8x+11

b)

4x +11

c)

4x

d)

15x

37.

4(-p - 6)

a)

4p - 24

b)

4p + 24

c)

-4p + 24

d)

-4p - 24

38.

-3(2c - 5)

a)

-6c - 15

b)

-6c + 15

c)

6c + 15

d)

6c - 15

39.

-4(k - 7)

a)

-4k + 28

b)

-4k - 28

c)

4k + 28

d)

4k - 28

40.

Simplify the following expression:
-9(14p - 8) - 4p

a)

130p - 72

b)

122p - 72

c)

-130p - 18

d)

-130p + 72

41.

3 - 5(a - 4)

a)

23 - 5a

b)

5a - 23

c)

18a

d)

-18a

42.

-5a - 2(a - 1)

a)

-7a + 2

b)

-9a

c)

-7a - 2

d)

12a - 2

43.

What is the solution for x + 9 = 21

a)

10

b)

12

c)

11

d)

13

44.

Solve for b
2b = -16

a)

8

b)

4

c)

-8

d)

3

45.

a)

x = 20

b)

x = 7

c)

x = 10

d)

x = 3

46.

x - 8 = -5

a)

13

b)

-13

c)

3

d)

-3

47.

The goal of solving a one, two, or multi-step equations is to:

a)

Find the constant

b)

Find the coefficient

c)

Find the value of the variable

d)

Guess and check

48.

What is the next step to solve this equation?
3x - 5 = 7

a)

Add 5 to both sides of the equation

b)

Add 3x to both sides of the equation

c)

Subtract 5 from both sides of the equation

d)

Subtract 7 from both sides of the equation

49.

What is the next step to solve this equation?
n - 4 = -2

a)

Add 4 to both sides of the equation

b)

Add n to both sides of the equation

c)

Subtract n from both sides of the equation

d)

Subtract 4 from both sides of the equation

50.

What is the next step to solve this equation?
5k + 6 = -9

a)

Add 9 to both sides of the equation

b)

Add 6 to both sides of the equation

c)

Subtract 6 from both sides of the equation

d)

Subtract 5k from both sides of the equation

51.

What is the next step to solve this equation?
-4x + 6 = 10

a)

Add 6 to both sides of the equation

b)

Add 10 to both sides of the equation

c)

Add 4x to both sides of the equation

d)

Subtract 6 from both sides of the equation

52.

What is the inverse operation needed to solve for p?
765 = p - 254

a)

subtraction

b)

addition

c)

multiplication

d)

division

53.

Solve the equation:
-5x = 25

a)

x = 20

b)

x = -20

c)

x = -5

d)

x = 5

54.

x - 8 = -5

a)

13

b)

-13

c)

3

d)

-3

55.

7. -4y = 48

a)

x = -52

b)

x = -12

c)

x = -44

d)

x = -13

56.

how would you solve this equation: 9x=153?

a)

multiply

b)

divide

c)

add

d)

subtract

57.

Which equation has x = 5 as the solution?

a)

x + 15 = 10

b)

2x = 5

c)

2x = 10

58.

3c + 5 = 23

a)

c = 3

b)

c = 6

c)

c = 7

d)

c = 18

59.

Solve 3x - 7 = 32

a)

13

b)

-13

c)

12

d)

-12

60.

10. x / 2 - 5 = 3

a)

x = -2

b)

x = 2

c)

x = 16

d)

x = 8

61.

x/5 - 13 = 20

a)

145

b)

165

c)

180

d)

190

62.

In the equation 4y +-9 =-36
y = -4

a)

True

b)

False

63.

What is the inverse operation of addition?

a)

addition

b)

subtraction

c)

multiplication

d)

division

64.

What is the inverse operation of subtraction?

a)

addition

b)

subtraction

c)

multiplication

d)

division

65.

What is the inverse operation of multiplication?

a)

addition

b)

subtraction

c)

multiplication

d)

division

66.

What is the inverse operation of division?

a)

addition

b)

subtraction

c)

multiplication

d)

division

67.

When solving a two-step equation which operations do you undo first?

a)

addition and subtraction

b)

addition and multiplication

c)

multiplication and division

d)

subtraction and division

68.

When solving a two-step equation which operations do you undo in the second step?

a)

addition and subtraction

b)

addition and multiplication

c)

multiplication and division

d)

subtraction and division

69.

What is the solution to 4x = 20?

a)

80

b)

16

c)

5

d)

24

70.

When do you "flip the inequalities sign"?

a)

When you add or subtract a negative

b)

When it's a 1-step problem

c)

When you multiply or divide a negative

d)

When it's a 2-step problem

71.

2x > 12

a)

x > 6

b)

x < 6

c)

x ≥ 6

d)

x ≤ 6

72.

-3x ≤ 18

a)

x ≤ -6

b)

x ≤ 6

c)

x ≥ 6

d)

x ≥ -6

73.

Solve 5x + 9 > 34

a)

x > -5

b)

x > 5

c)

x < -5

d)

x < 5

74.

When do you use a closed circle on a graph for an inequality?

a)

When it is ≥ or ≤

b)

When it is > or <

c)

When the number in front of the variable is negative

d)

When it is only =

75.

Match the graph with its inequality.

a)

a > 11

b)

a < 11

c)

a ≥ 11

d)

a ≤ 11

76.

Match the graph with its inequality.

a)

b > –2

b)

b < –2

c)

b ≥ –2

d)

b ≤ –2

77.

What is the percent of the shaded region in the figure?

a)

60%

b)

12%

c)

40%

d)

8%

78.

Write 76% as a fraction in simplest form.

a)

19/50

b)

19/25

c)

25/38

d)

38/50

79.

Write 13/20 as a percent

a)

13%

b)

20%

c)

65%

d)

26%

80.

Change this decimal to a percent.
0.528

a)

528%

b)

52.8%

c)

5.28%

d)

52%

81.

Write 7% as a decimal

a)

7.0

b)

0.7

c)

0.007

d)

0.07

82.

Write 1.5 as a percent.

a)

15%

b)

150%

c)

1.5%

d)

1500%

83.

How do you change a percent to a decimal?

a)

Just put a percent sign.

b)

move the decimal 2 right

c)

move the decimal 2 left

d)

multiply by 100

84.

Which statement best describes what a ratio is.

a)

A number

b)

A comparison of two quantities using division.

c)

A comparison

d)

A comparison of many things.

85.

Which of the following options is a real life example of a ratio?

a)

12 noodles

b)

4 meatballs : 1 cup of sauce

c)

1 jar of sauce

d)

15 desserts

86.

What is the ratio of red apples to green apples?

a)

7 to 3

b)

4 to 7

c)

4 to 3

d)

3 to 4

87.

A ratio can be written in 3 ways. Which of the following is NOT how a ratio is written?

a)

3=4

b)

3 : 4

c)

3 / 4

d)

3 to 4

88.

What is the ratio of orange circles to blue circles?

a)

2 : 3

b)

3 : 5

c)

3 : 2

d)

2 : 5

89.

A bag of marbles comes with 3 blue marbles, 2 red marbles, and 5 yellow marbles. What is the ratio of red to yellow?

a)

2 to 5

b)

5 to 3

c)

3 to 5

d)

5 to 2

90.

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)

34

91.

You are purchasing a T.V for $990 T.V with 9% sales tax. What is the final price of the T.V.?

a)

$ 1881.00

b)

$ 1079.00

c)

$ 1,079.10

d)

$ 1,709.1

92.

Sales tax is __________ to the price

a)

subtracted

b)

added

c)

multiplied

d)

divided

93.

Bill: $25
Percentage of tip: 20%
Tip????

a)

$6.00

b)

$5.00

c)

$2.50

d)

$4.00

94.

Discount is ____________ from the price.

a)

added

b)

divided

c)

subtracted

95.

Daniel has dinner at a restaurant and the cost of his meal is $28.00. Because of the service, he wants to leave a 20% tip. What is his total bill including tip?

a)

33.60

b)

40.00

c)

24.60

d)

30.50

96.

Do you add or subtract for a discount?

a)

add

b)

subtract

c)

multiply

d)

divide

97.

When finding the cost of a meal, you have to _____ the amount of the tip to the original amount of the bill.

a)

Add

b)

Subtract

c)

Multiply

98.

Emilio borrows $1200 from a bank with 8% simple interest per year. How much will he have to pay back total in 2 years?

a)

$150

b)

$192

c)

$1350

d)

$1392

99.

Principal = $500
Interest rate =5%
Time = 5 years
What is the interest earned?

a)

95

b)

105

c)

125

d)

135

100.

Dan borrowed $2,000 for 6 months at 12% annual simple interest rate. How much interest is that?

a)

$120

b)

$144

c)

$1,200

d)

$1,440

101.

The simple interest formula is I=Prt. What does the t represent?

a)

Principle

b)

Interest

c)

Time, in hours

d)

Time, in years

102.

Convert 18 months to years.

a)

18 Years

b)

1.5 Years

c)

.18 Years

d)

You cannot change it to years.

103.

Write the decimal as a percent.
0.37

a)

37%

b)

3.7%

c)

.37%

104.

Write the percent as a decimal.
4.3%

a)

4.3

b)

.43

c)

.043

d)

4300

105.

What is the area?

a)

12 cm²

b)

14

c)

14 cm²

d)

24 cm²

106.

Find the area of this triangle.

a)

150 ft²

b)

100 ft²

c)

50 ft²

d)

35 ft²

107.

Find the area of the triangle.

a)

20 cm²

b)

56 cm²

c)

28 cm²

d)

27 cm²

108.

Compute the perimeter of the triangle.

a)

11 mm

b)

10 mm

c)

12 mm

d)

9 mm

109.

Compute the perimeter of the triangle.

a)

31 cm

b)

32 cm

c)

30 cm

d)

29 cm

110.

Compute the perimeter of the triangle.

a)

54 m

b)

53 m

c)

55 m

d)

52 m

111.

Find the area of a trapezoid with bases of 5 feet and 7 feet, and a height of 3 feet.

a)

18

b)

36

c)

72

d)

40

112.

Find the area of a trapezoid with bases of 12 meters and 6 meters, and a height of 5 meters.

a)

90

b)

18

c)

45

d)

36

113.

Find the area of the trapezoid.

a)

18 m²

b)

165 m²

c)

84 m²

d)

22.5 m²

114.

What is the perimeter of the trapezoid?

a)

21 in

b)

210 in

c)

17 in

115.

What is the perimeter of the trapezoid?

a)

60cm

b)

23in

c)

20cm

116.

Calculate the perimeter of the trapezoid!

a)

37ft.

b)

24ft.

c)

34ft.

7th Grade Review 21-22

Total questions: 116

Worksheet time: 6hrs 16mins

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