Free Printable FINAL REVIEW FOR 7TH GRADE

1.

What does 3² mean?

a)

3 x 2

b)

3 x 3

c)

2 x 2 x 2

2.

20 - 5 x 2

a)

30

b)

10

c)

50

3.

7 + (12-3)²

a)

256

b)

88

c)

10

d)

13

4.

90 - 5² x 3

a)

15

b)

240

c)

195

5.

2 + (9²- 4)

a)

16

b)

77

c)

79

6.

What is the first step in solving this problem:
-2 ⋅ (3 + 8 ÷ 4)²

a)

multiplication

b)

addition

c)

division

d)

subtraction

7.

- 9 + 7

a)

-2

b)

2

c)

16

d)

-16

8.

- 2 + - 9

a)

-11

b)

11

c)

-7

d)

7

9.

7 + (-14)

a)

7

b)

21

c)

-21

d)

-7

10.

Solve the following:
75 ÷ 5 × 9 – 9

a)

126

b)

226

c)

0

d)

300

11.

Solve the following:
(7 + 41) ÷ 2 – 15

a)

19

b)

9

c)

25

d)

3

12.

5 less than the product of 7 and s

a)

7s - 5

b)

5 - 7 + s

c)

7(s - 5)

d)

5 - 7s

13.

fourteen times a number

a)

n-14

b)

14n

c)

14+n

d)

14-n

14.

g divided by nine

a)

9g

b)

g-9

c)

g/9

d)

9/g

15.

5 less than the product of 7 and s

a)

7s - 5

b)

5 - 7 + s

c)

7(s - 5)

d)

5 - 7s

16.

What does "product" mean?

a)

Multiply

b)

Divide

c)

Add

d)

Subract

17.

Three less than twice a number

a)

3 - 2x

b)

3x - 2

c)

2 - 3x

d)

2x - 3

18.

Translate the sentence into an equation:
Four more than six times a number is 18.

a)

10x = 18

b)

4x + 6 = 18

c)

4 + 6x = 18

d)

not enough info

19.

Translate the statement into an equation:
5 less than 3 times a number is 7

a)

3n - 5 = 7

b)

5 - 3n = 7

20.

Translate the statement into an equation:
Seven less than a number is 3

a)

7 - n = 3

b)

n - 7 = 3

21.

Translate the statement into an equation:
10 more than twice a number is 18

a)

2n + 10 = 18

b)

10n + 2 = 18

22.

The product of 6 and a number plus 13 is 21.

a)

6x + 13 = 21

b)

21x + 6 = 13

c)

6x + 21 = 13

23.

Translate the statement into an equation:
Five less than a number is 6

a)

n - 5 = 6

b)

5 - n = 6

24.

6 - 3a = 21

a)

a= 9

b)

a= -9

c)

a= -5

d)

a= 5

25.

-3a + 8 = 14

a)

a= -2

b)

a= -7.5

c)

a= 2

d)

a= 6

26.

26 = 5a + 1

a)

a= 5 ⁴∕₅

b)

a= no solution

c)

a= 0

d)

a= 5

27.

-5 - 6a = -59

a)

a= 11

b)

a= -6

c)

a= 9

d)

a= 2

28.

4 = 2(x + 3)

a)

1/2

b)

7/2

c)

-1

d)

5

29.

6z + 3 -4z = 9

a)

z = 3

b)

z = 60

c)

z = 30

d)

z = 1

30.

a)

2

b)

4

c)

6

d)

8

31.

a)

60

b)

70

c)

80

d)

90

32.

a)

4

b)

6

c)

8

d)

30

33.

Solve: 3(x-4) = -3

a)

3

b)

-3

c)

5

d)

-5

34.

Use the Distributive Property to solve the equation.
4( x + 2) = 16

a)

-2

b)

0

c)

1

d)

2

35.

-3 ( f - 8 ) = 39

a)

-21

b)

-10.3

c)

-5

d)

5

36.

9(2x+8) = 270

a)

x = -7

b)

x = -5

c)

x = 11

d)

x = 12

37.

Solve for t.

6t + 4 ≤ -2

a)

t ≤ -1

b)

t ≤ 1

c)

t=1

d)

1=t

38.

Solve for k.

7k – 2 ≥ -9

a)

k ≤ -1

b)

k≤1

c)

k≥1

d)

k ≥ -1

39.

Solve for k.
2k - 9≤ -19

a)

k ≤ -5

b)

k ≤ 5

c)

k < -5

d)

k < 5

40.

-3y + 2 > 11

a)

y < -3

b)

y > -3

c)

y < 3

d)

y > 3

41.

You flip an inequality symbol when you...

a)

subtract

b)

multiply and divide only

c)

multiple by a negative number

d)

multiple or divide by a negative number

42.

When graphing b < 6 would you use an open or closed circle?

a)

Open

b)

closed

43.

Match the graph with its inequality.

a)

11 < a

b)

11 > a

c)

11 ≤ a

d)

11 ≥ a

44.

Pick the correct letter for:
6 > x

a)

A

b)

B

c)

C

d)

D

45.

Pick the correct letter for:
6 > x

a)

A

b)

B

c)

C

d)

D

46.

Solve and graph the inequality.
77 ≤ 5 + 8n

a)

A

b)

B

c)

C

d)

D

47.

Solve and graph the inequality.
-169 ≤ 8m - 9

a)

A

b)

B

c)

C

d)

D

48.

Solve and graph the inequality.
7n - 1 > 76

a)

A

b)

B

c)

C

d)

D

49.

Solve and graph the inequality.
3 + 9k > 111

a)

A

b)

B

c)

C

d)

D

50.

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

51.

A store sees 120 customers in 8 hours. What is the unit rate (in customers per hour)?

a)

16 customers per hour

b)

15 customers per hour

c)

12 customers per hour

d)

20 customers per hour

52.

Simplify the ratio of
20 to 25

a)

1 to 5

b)

2 to 5

c)

3 to 5

d)

4 to 5

53.

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

54.

8. Find the unit rate of $97.50 for 15 pizzas.

a)

$6 per pizza

b)

$82.50 per pizza

c)

$5.50 per pizza

d)

$6.50 per pizza

55.

Scale: 1in.=7ft. The actual width of the backyard is 49 ft, how wide is it in the drawing?

a)

14 in

b)

7 in

c)

42 in

d)

56 in

56.

What does 18 cm represents?

a)

Radius

b)

Diameter

c)

Area

d)

Circumference

57.

What are the coloured parts known as?

a)

cylinder

b)

Cross sections

c)

length

d)

volume

58.

What is the formula for the area of a circle?

a)

A = π

b)

A = 2πr

c)

A = πr²

d)

A = πd

59.

What is the exact area for a circle with a diameter of 12? Remember the formula for area of a circle is A=πr² .

a)

12π

b)

6π

c)

36π

d)

144π

60.

What is the exact area for a circle with a diameter of 100? Remember the formula for area of a circle is A=πr² .

a)

2500π

b)

1500π

c)

200π

d)

50π

61.

What is the exact area for a circle with a diameter of 3?

a)

4π

b)

3.00π

c)

2.25π

d)

1.5π

62.

Find the exact area of a circle with a radius or 2.

a)

4π

b)

2π

c)

8π

d)

6.28

63.

What is the exact area of a circle with a radius of 10? Remember the formula for area of a circle is A=πr² .

a)

10π

b)

5π

c)

20π

d)

100π

64.

What is the exact area of a circle with a diameter of 10?

a)

5π

b)

10π

c)

25π

d)

100π

65.

What is the constant of proportionality for this table?

a)

$1/9 per hour

b)

$9 per hour

c)

$8 per hour

66.

Is this graph proportional?

a)

Yes

b)

No

67.

Is this graph proportional?

a)

Yes

b)

No

68.

What is the constant of proportionality?

a)

15

b)

5

c)

75

d)

25

69.

What is the constant of proportionality?

a)

3

b)

4

c)

2

d)

5

70.

Simplify the following expression:
-10x + 15 - 3x + 2

a)

13x² + 17

b)

-13x² + 13

c)

-13x + 17

d)

-7x + 17

71.

Simplify by combining like terms:
5a + 2b - 3a + 4

a)

8a + 2b + 4

b)

2a + 2b + 4

c)

8ab

d)

4ab + 4

72.

Combine like terms
3x + 2x + 3y - 7y

a)

5x + 10y

b)

5x + 4y

c)

5x - 4y

d)

5x -10y

73.

Simplify:
2x - 5x + 6x + 7 + 14

a)

3x + 21

b)

3x + 22

c)

-3x + 21

d)

-3y + 22

74.

Simplify:
-1x + y - z + 10z + 2x - 10y

a)

1x - 9y + 9z

b)

1x - 9z - 9y

c)

-1x - 9z - 9y

d)

-1x - 9 - 9y

75.

Which is the better buy?

a)

A 4 pack of t-shirts for $2.24

b)

A 6-pack of t-shirts for $3.12

c)

An 8 pack of t-shirts for $4.24

76.

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.

a)

Oreos

b)

Chips Ahoy

77.

Sara Lee Turkey $6.58 per lb.
or
Butterball Turkey $11.16 for 2 lb.
Find the unit price of each and choose the better deal.

a)

Sara Lee

b)

Butterball

78.

Simplify 4:6

a)

2:3

b)

3:2

79.

Simplify 16:40

a)

5:2

b)

2:5

80.

Does a triangle with these side lengths exist?
15, 12, 9

a)

Yes

b)

No

c)

I don't know.

81.

Can the sides of a triangle have lengths 3, 4, and 9?

a)

Yes

b)

No

82.

Can the sides of a triangle have lengths 4, 11, and 13?

a)

Yes

b)

No

83.

Which set of numbers may represent the lengths of the sides of a triangle?

a)

{2,5,9}

b)

{6,6,7}

c)

{6,4,2}

d)

{7,8,1}

84.

Which of the following does not represent the lengths of the sides of a triangle?

a)

2 cm, 6 cm, 7 cm

b)

5 cm, 2 cm, 5 cm

c)

5 cm, 5 cm, 8 cm

d)

3 cm, 10 cm, 15 cm

85.

Find the value of x.

a)

14

b)

60

c)

35

d)

180

86.

∠1 and ∠3 can best be described as -

a)

complementary angles

b)

supplementary angles

c)

vertical angles

d)

adjacent angles

87.

What are complementary 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.

88.

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

89.

What are vertical angles?

a)

Angles that add up to 180°

b)

Angles that add up to 90°

c)

Angles that add up to 360°

d)

Angles that are opposite of each other when lines intersect and are equal

90.

Find the missing angle. Find x.

a)

20^o

b)

70^o

c)

160^o

d)

180^o

91.

a)

100°

b)

80°

c)

90°

d)

180°

92.

a)

100°

b)

80°

c)

90°

d)

180°

93.

Solve for x

a)

20

b)

25

c)

120

d)

180

94.

Solve for x

a)

5

b)

90

c)

25

d)

10

95.

Solve for x

a)

6

b)

140

c)

20

d)

90

96.

Which are pairs of vertical angles?

a)

∠COB & ∠COA

b)

∠AOD & ∠AOC

c)

∠COB & ∠AOD

d)

∠BOD & ∠AOD

97.

Convert to a decimal
2/8

a)

.25

b)

.34

c)

.75

d)

.44...

98.

Convert to a decimal

2/9

a)

.999...

b)

.2222...

c)

.29

d)

.181818...

99.

The number of people signed up for a bus trip increased from 32 to 45. What is the percent increase? Round to the nearest percent.

a)

52%

b)

41%

c)

42%

d)

45%

100.

The regular price of a scooter is $65.50. It is on sale for $52.40. What is the percent decrease from the regular price to the sale price of the scooter?

a)

35%

b)

25%

c)

30%

d)

20%

101.

Find the percent increase. Round to the nearest percent.
From $5 to $8

a)

40%

b)

60%

c)

55%

d)

65%

102.

Find each percent increase. Round to the nearest percent.
From 13 friends to 14 friends

a)

20%

b)

12%

c)

15%

d)

8%

103.

Find each percent increase. Round to the nearest percent.
From 86 books to 150 books

a)

74%

b)

62%

c)

81%

d)

58%

104.

Find each percent decrease. Round to the nearest percent.
From $80 to $64

a)

35%

b)

10%

c)

20%

d)

25%

105.

Find each percent decrease. Round to the nearest percent.
From 90 points to 45 points

a)

55%

b)

50%

c)

45%

d)

35%

106.

Find the sales tax only. $199.95 ipod; 9% tax

a)

$ 17.99

b)

$ 217.95

c)

$18.00

d)

$179.90

107.

Gas prices decreased this week from $4 per gallon to $3.80 per gallon.
What rate of decrease does this represent?
(Rate is another word for percent.)

a)

5%

b)

5.3%

c)

95%

d)

.05

108.

A bank tellers’ hourly wage will increase from $24 to $27.60
What percent increase does this represent?

a)

15%

b)

.15

c)

1.15

d)

13%

109.

Find the tip amount on a $20 lunch if you leave a 20% tip.

a)

$ .40

b)

$ 2.00

c)

$ 4

d)

$ 24

110.

How much tax would you pay on a new TV that is $899 at Best Buy, if the tax rate is 6.5%?

a)

$957.44

b)

$841

c)

$58.43

111.

Find the gratuity only. $ 75.45 steak dinner; 18% gratuity

a)

$ 13.58

b)

$ 89.03

c)

$ 61.87

d)

$135.80

112.

Sharon makes money by commission rates. She gets 17% of everything she sells. If Sharon sold $37,000 worth of items this month, what is her salary for the month?

a)

$14,800

b)

$5,180

c)

$629

d)

$6,290

113.

Sharon makes money by commission rates. She gets 17% of everything she sells. If Sharon sold $37000 worth of items this month, what is her salary for the month?

a)

$14,800

b)

$5,180

c)

$629

d)

$6,290

114.

Amelia sells jewelry. She make a total of 12% of commission off of her sales. How much commission Amelia make when she sells $22,540 worth of jewelry.

a)

13,780.80

b)

$450.80

c)

$2,704.80

d)

$304.80

115.

Which expression represents the perimeter?

a)

14 + 2x

b)

4x + 6

c)

2x + 7

d)

14 + 4x

116.

Which expression represents the area?

a)

6x + 3

b)

8x + 12

c)

8x² + 12

d)

8x + 3

117.

Which expression represents the perimeter of the triangle?

a)

4x + 4y + 5

b)

6xy + 7

c)

6x + 2y + 5

d)

10xy + x + 2y

118.

Which expression represents the area of the rectangle?

a)

12x - 2

b)

12x - 1

c)

8x - 2

d)

36x² - 2

119.

What is an "Acute" Angle

a)

Angle that measures 180

b)

An Angle that measure 90

c)

An angle that measures more than 90

d)

An angle that measures less than 90

120.

Angles whose measure sum up to 180 degrees.

a)

Vertical

b)

Adjacent

c)

Complementary

d)

Supplementary

121.

What type of angle is this?

a)

acute

b)

obtuse

c)

right

122.

What are complementary 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.

123.

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

124.

What are vertical angles?

a)

Angles that are adjacent to each other

b)

Angles that add up to 180°

c)

Angles that are opposite of each other when lines intersect

d)

Angles that add up to 90°

125.

What is the supplement angle to 42°?

a)

48°

b)

138°

c)

100°

d)

Not possible

126.

What is the complement angle to 12°?

a)

78°

b)

68°

c)

168°

d)

90°

127.

_{These are Complementary angles. Find x.}

a)

15

b)

25

c)

75

d)

90

128.

Find what the value of x.

a)

56

b)

66

c)

156

d)

166

129.

Find what the value of x.

a)

118

b)

108

c)

28

d)

58

130.

Find the missing angle.

a)

47

b)

37

c)

57

d)

137

131.

What is the measure of the missing angle?

a)

39

b)

129

c)

119

d)

129

132.

What is the area?

a)

16 cubic cm

b)

36 cubic cm

c)

144 cubic cm

d)

72 cubic cm

133.

Find the Area:

a)

54 cm2

b)

45 cm2

c)

63 cm2

d)

36 cm2

134.

Solve:

a)

38 square inches

b)

68 square inches

c)

25 square inches

135.

Solve:

a)

38 square inches

b)

68 square inches

c)

25 square inches

136.

Solve:

a)

663

b)

322

c)

630

d)

654

137.

What is the area of the shaded region?

a)

20 sq cm

b)

4 sq cm

c)

30 sq cm

d)

24 sq cm

138.

Find the area of the circle

a)

56.52

b)

254.34

c)

1017.36

d)

113.04

FINAL REVIEW FOR 7TH GRADE

Total questions: 138

Worksheet time: 5hrs 17mins

Similar Resources on Wayground