Free Printable Final Exam Review

1.

Convert 3/8 to a decimal.

a)

2.67

b)

0.375

c)

0.267

d)

3.75

2.

Rewrite 18/7 as a decimal. Round your answer to the nearest thousandth.

a)

2.571

b)

0.571

c)

2.0571

d)

0.389

3.

Convert 10/3 into a decimal.

a)

33.3333

b)

3.3333

c)

333.3333

d)

0.3333

4.

Convert 0.25 to a fraction in simplest form.

a)

$\frac{1}{4}$

b)

$\frac{1}{5}$

c)

$\frac{2}{5}$

d)

$\frac{5}{20}$

5.

Convert 0.125 to a fraction in simplest form.

a)

$\frac{1}{8}$

b)

$\frac{1}{2}$

c)

$\frac{1}{25}$

d)

$\frac{7}{8}$

6.

Convert 0.875 to a fraction in simplest form.

a)

$\frac{1}{3}$

b)

$\frac{1}{4}$

c)

$\frac{1}{6}$

d)

$\frac{7}{8}$

7.

-9 + (-5)

a)

-14

b)

14

c)

-4

8.

-8 - (-4) =

a)

12

b)

-12

c)

4

d)

-4

9.

19 - (-19)

a)

0

b)

36

c)

26

d)

38

10.

-2 - (-10) = ?

a)

-12

b)

12

c)

8

d)

-8

11.

-20/5=

a)

-4

b)

4

c)

-100

d)

100

12.

-30/-10=

a)

-30

b)

-3

c)

3

d)

30

13.

(-2)(-4)(-3)

a)

24

b)

-24

c)

8

d)

-21

14.

Multiply
(5) • (–9) • (–2)

a)

90

b)

-45

c)

-90

d)

47

15.

$-3\ \frac{1}{7\ }\ +\ -7\ \frac{1}{2}$

a)

$-10\ \frac{9}{14}$

b)

$10\ \frac{9}{14}$

c)

$-10\ \frac{1}{9}$

d)

$-4\ \frac{1}{5}$

16.

$\frac{6}{10\ }-\ \left(\ -\ \frac{5}{10}\right)$

a)

$\frac{1}{10}$

b)

$1\ \frac{1}{10}$

c)

$-1\ \frac{1}{10}$

d)

$-\frac{1}{10}$

17.

$\frac{1}{3}\ -\ \frac{3}{15}$

a)

$-\frac{1}{12}$

b)

$-\frac{2}{15}$

c)

$\frac{1}{15}$

d)

$\frac{2}{15}$

18.

$-\frac{7}{10}\degree\ \frac{4}{5}$

a)

$-\frac{14}{5}$

b)

$\frac{14}{10}$

c)

$\frac{14}{25}$

d)

$-\frac{14}{25}$

19.

$-\frac{3}{11\ }\div\left(-\frac{2}{6}\right)$

a)

$\frac{9}{11}$

b)

$-\frac{9}{11}$

c)

$\frac{5}{17}$

d)

$-\frac{5}{17}$

20.

$-\frac{4}{5}\ \div\left(-\frac{6}{9}\right)$

a)

$-\frac{24}{45}$

b)

$\frac{24}{45}$

c)

$-1\ \frac{1}{5}$

d)

$1\ \frac{1}{5}$

21.

-5c-6c

(a)

22.

-4k-7+5k

(a)

23.

7m-10-4m+3

(a)

24.

-5n+1-8n-6

(a)

25.

-4(-4d - 5)

a)

-16d+20

b)

16+20

c)

16d+20

d)

16s-20

26.

2(4 + 9w)

a)

8+9w

b)

2+9

c)

8+18w

d)

2+9w

27.

-4(k - 7)

a)

-4k + 28

b)

-4k - 28

c)

4k + 28

d)

4k - 28

28.

Simplify the following expression:

-6x + 4(x - 3)

a)

-2x - 12

b)

10x + 12

c)

-10x - 12

d)

-2x + 12

29.

8x+3(7x-6)

a)

-29x+18

b)

29x-18

30.

Simplify the following expression:
-7x +5 (1 - 8x)

a)

-33x + 5

b)

5 + 33x

c)

47x + 5

d)

5 - 47x

31.

4x + 7 = 23

a)

x = 16

b)

x = 4

c)

x = 9

d)

x = 12

32.

7 + ^a⁄₃= 5

a)

a= -2

b)

a= -6

c)

a= 3

d)

a= 15

33.

-4x+1=21

a)

x=120

b)

x=5

c)

x=30

d)

x=-5

34.

Solve.
$a\ -2\ +\ 3\ =\ -2$

a)

$a\ =\ -7$

b)

$a\ =\ -3$

c)

$a\ =1$

d)

$a\ =0$

35.

$24\ =\ 3\left(3x\ -7\right)$

a)

$x\ =\ -9$

b)

$x\ =\ 5$

c)

$x\ =3$

d)

$x\ =\ 7$

36.

$r\ +\ 11\ +\ 8r\ =\ 29$

a)

$r\ =0$

b)

$r\ =\ 1$

c)

$r\ =\ 2$

d)

$r\ =\ 3$

37.

$-5\left(4x\ -\ 2\right)\ =\ -2\left(3\ +6x\right)$

a)

$x\ =\ 2$

b)

$x\ =\ 8$

c)

$x\ =\ -2$

d)

$x\ =\ -8$

38.

8w - 8 = - 4x + 16

a)

8

b)

16

c)

24

d)

2

39.

Solve:
5y + 34 = -2(- 7y + 1)

a)

y = -4

b)

y = 9

c)

y = 4

d)

y = 36/19

40.

Solve the equation
12x - 15 = 3(2x + 3)

a)

x = 4

b)

x = -4

c)

x = 2

d)

x = -2

41.

Solve for f:
f - 4 = 6f + 26

a)

f = -5

b)

f = 5

c)

f = 6

d)

f = -6

42.

-4x + 14 ≤ 54

a)

x ≥ - 10

b)

x ≤ -10

c)

x ≥ 10

d)

x ≤ 10

43.

4x - 3 ≥ 2x - 1

a)

x ≤ -1

b)

x ≥ -1

c)

x ≤ 1

d)

x ≥ 1

44.

-2x + 3(-4x + 6) ≤116

a)

x ≤ -7

b)

x ≥ 29

c)

x ≥ -7

d)

x ≤ 29

45.

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

46.

If the $m\angle7\ =\ 115\degree,$ find the measure of $\angle2.$

a)

$115\degree$

b)

$65\degree$

c)

$180\degree$

d)

Cannot be determined

47.

If the $m\angle5\ =\ 63\degree,$ find the measure of $\angle3.$

a)

$63\degree$

b)

$117\degree$

c)

$180\degree$

d)

Cannot be determined

48.

If the $m\angle1\ =\ 57\degree,$ find the measure of $\angle6.$

a)

$123\degree$

b)

$57\degree$

c)

$180\degree$

d)

Cannot be determined

49.

If m∠1 = 30°, then m∠3 =

a)

30°

b)

60°

c)

150°

d)

undetermined

50.

Find the value of x.

a)

18°

b)

28°

c)

38°

d)

118°

51.

What is the measure of angle b

a)

146

b)

34

c)

36

d)

136

52.

What is the measure of the missing angle?

a)

140

b)

130

c)

50

d)

90

53.

What is the measure of angle b?

a)

36^o

b)

56^o

c)

63^o

d)

117^o

54.

Find $m\angle1.$

a)

$180\degree$

b)

$65\degree$

c)

$115\degree$

55.

Find $m\angle2.$

a)

$65\degree$

b)

$180\degree$

c)

$115\degree$

56.

Find $m\angle1.$

a)

$131\degree$

b)

$180\degree$

c)

$49\degree$

57.

Find $m\angle2.$

a)

$131\degree$

b)

$180\degree$

c)

$49\degree$

58.

Find the measure of each angle indicated.

a)

88

b)

30

c)

110

d)

85

59.

Find the measure of each angle indicated.

a)

48

b)

87

c)

35

d)

40

60.

What kind of equation is this?
xy=8

a)

Linear Equation

b)

Direct Variation

c)

Inverse Variation

d)

Joint Variation

61.

Determine the type of variation:

a)

Direct

b)

Inverse

c)

Neither

62.

Which of the given graphs is a direct variation?

a)

A

b)

B

c)

C

d)

D

63.

The equation

xy = 25 represents:

a)

direct variation

b)

inverse variation

c)

neither

64.

Which of the following is NOT a direct variation?

a)

y = -2x

b)

y = 1/2x

c)

2x + 3y = 2

d)

3y = 4x

65.

Trina's paycheck earnings varies directly as the number of hours she works. If she works 19 hours and earns $187.15, what should she earn if she worked 40 hours?

a)

$394

b)

$443.25

c)

$472.80

d)

$512.20

66.

The time it takes to fly from Los Angeles to New York varies inversely as the speed of the plane. If the trip takes 6 hours at 900 km/h, how long would it take at 800 km/h?

a)

5.33 hours

b)

6.75 hours

c)

12 hours

d)

10 hours

67.

y varies directly as x, if y=4 when x=3, find x when y=-12

a)

-16

b)

16

c)

-9

d)

9

68.

y varies inversely as x, if y = -3 when x = -6, find y when x = 14.

a)

11

b)

-11

c)

9/7

d)

7/9

69.

$\frac{x}{5}=\frac{8}{10}$

a)

x=7

b)

x=4

c)

x=2

d)

x=3

70.

\frac{21}{x}=\frac{6}{8}

a)

x = 6

b)

x = 25

c)

x = 28

d)

x = 17

71.

Solve the equation for x:

a)

17

b)

16

c)

15

d)

14

72.

a)

x = 3

b)

x = -3

c)

x = 1

d)

x = -1

73.

What is the surface area of this figure?

a)

200 cm ²

b)

800 cm ²

c)

400 cm ²

d)

100 cm ²

74.

Find the surface area of the sphere.

a)

6658.56 mm²

b)

452.16 mm²

c)

904.32 mm²

d)

108.8 mm²

75.

Determine the surface area. Cut the diameter in half first.

a)

314.16 km²

b)

178.36 km²

c)

400.31 km²

d)

1256.64 km²

76.

Find the surface area. Use 3.14 for pi.

a)

1130.40

b)

452.16

c)

327.03

d)

987.12

77.

Find the surface area

a)

164.9yd²

b)

329.9yd²

c)

612.6yd²

d)

227.8yd²

78.

Find the total surface area of the cylinder.

a)

100.53 square inches

b)

351.86 square inches

c)

251.33 square inches

d)

50.27 square inches

79.

Find the total surface area of the cylinder.

a)

471.24 square centimeters

b)

157.08 square centimeters

c)

314.16 square centimeters

d)

296.72 square centimeters

80.

Find the total surface area of the cylinder.

a)

25.13 square cm

b)

75.40 square cm

c)

50.27 square cm

d)

100.53 square cm

81.

Bob has a rectangular prism gift box what it the volume of bobs gift box?

a)

64in³

b)

60in³

c)

240in³

d)

24in³

82.

Each side of this ice cube measures 2 inches. What is the volume of the ice cube?

a)

6 cubic inches

b)

8 cubic inches

c)

12 cubic inches

d)

8 square inches

83.

The equation $V\ =\ \frac{1}{3}\pi r^2h$ is the volume formula for a...

a)

Sphere

b)

Cylinder

c)

Cone

d)

Hemisphere

84.

The equation $V\ =\ \pi r^2h$ is the equation for the volume of a ...

a)

Cylinder

b)

Cone

c)

Sphere

d)

Hemisphere

85.

The formula $V\ =\ \frac{4}{3}\pi r^3$ is the volume formula for a ...

a)

Sphere

b)

Hemisphere

c)

Cone

d)

Cylinder

86.

Find the volume of the given sphere.

a)

418.7 cubic ft

b)

3,984.6 cubic ft

c)

4,188.8 cubic ft

d)

4,319.8 cubic ft

87.

Find the volume of the given sphere.

a)

1,563.5 cubic in.

b)

1,325.5 cubic in.

c)

1,129.9 cubic in.

d)

1,819.6 cubic in.

88.

Find the volume of the given sphere.

a)

3,817.9 cubic mm

b)

2,506.2 cubic mm

c)

2,000.8 cubic mm

d)

2,144.7 cubic mm

89.

Find the volume of the cone. Round your answers to the nearest tenth. Use 3.14 for π.

a)

14.13 in³

b)

56.52 in³

c)

169.56 in³

90.

Find the volume of the cone. Round your answers to the nearest tenth. Use 3.14 for π.

a)

399.9 ft³

b)

1,199.9 ft³

c)

85.1 ft³

d)

324 ft³

91.

Find the volume of the cone. Round your answers to the nearest tenth. Use 3.14 for π.

a)

113.0 in³

b)

37.7 in³

c)

339.1 in³

92.

Find the volume of the cylinder.

a)

4239

b)

1696

c)

1130

d)

565

93.

Find the volume of the cylinder.

a)

282.6

b)

516.2

c)

133

d)

214

94.

Find the volume of this shape

a)

1520.53

b)

276.46

c)

552.93

d)

6082.12

95.

What is the median?

a)

3

b)

8

c)

10

d)

15

96.

What is the value of the lower quartile (Q1)?

a)

3

b)

8

c)

10

d)

15

97.

What is the value of the upper quartile (Q3)?

a)

3

b)

8

c)

10

d)

15

98.

What is the upper quartile of the set of data; 2, 4, 6, 6, 7, 8, 10

a)

4

b)

6

c)

8

d)

2

99.

Determine the IQR for this set of data. 12, 13, 14, 15, 17, 18, 19, 19, 22, 23

a)

14

b)

5

c)

17.5

d)

19

100.

What value is the lower quartile?

a)

66

b)

58

c)

60

d)

64

101.

What is the median?

a)

62

b)

58

c)

66

d)

60

102.

Which city has a lower IQR?

a)

City A

b)

City B

103.

While doing a project for P. E. class, Ling researched the number of athletes competing in an international sporting event.

How many countries have exactly 32 athletes?

a)

4

b)

3

c)

6

d)

1

104.

A Technical Assistance Manager monitored his customers' wait times.

What is the shortest wait time?

a)

30 minutes

b)

48 minutes

c)

31 minutes

d)

71 minutes

105.

A veterinarian weighed all the dogs that visited his office last month.

How many dogs weighed exactly 22 pounds?

a)

2

b)

0

c)

1

d)

3

106.

Find the mean of these numbers:
2, 57, 38, 42, 6

a)

29

b)

38

c)

50

d)

145

107.

The temperature in Michigan City on this date in the last ten years were: 68, 68, 69, 70, 72, 70, 68, 75, 55, 67. What is the mean temperature on this date over the last ten years? (Round to nearest whole number.)

a)

60

b)

61

c)

68

d)

69

108.

The following M & M colors are in the bowl:
4 yellow, 6 orange, 3 green, 5 blue, 2 brown.
What is the probability of selecting a brown candy?

a)

2/18

b)

1/9

c)

2/20

d)

1/10

109.

What is the probability of getting any letter that is not A?

a)

6/8

b)

3/4

c)

2/8

d)

1/4

110.

A jar contains 2 pink, 6 red, and 4 blue marbles. If you pick one marble without looking, what is the probability that the marble you pick will be red or blue?

a)

5/6

b)

1/2

c)

1/3

d)

1/6

111.

A jar contains 8 marbles: 3 are red and 5 are blue. What is the probability of selecting a red marble, replacing it, and then selecting another red marble?

a)

9/64

b)

6/56

c)

15/64

d)

25/64

112.

A box contains 3 black pens, 7 blue pens, and 5 red pens. Without looking, P(red or black)

a)

8/15

b)

15/225

c)

5/15

d)

3/15

113.

A bag has 3 red marbles, 2 blue and 4 yellow. What is the probability of pulling a red?

a)

3/10

b)

3/9

c)

1/9

d)

1/3

114.

The following M & M colors are in the bowl:
4 yellow, 6 orange, 3 green, 5 blue, 2 brown.
P( Yellow or green)

a)

1/40

b)

7/20

c)

6/19

d)

1/38

115.

A bag of marbles contains 5 red, 7 purple, and 3 blue marbles. If one marble is chosen at random, what is the probability that the marble is NOT blue?

a)

4/5

b)

1/5

c)

3/5

d)

2/5

116.

How many senior boys play football and wrestle?

a)

9

b)

12

c)

18

d)

39

117.

How many senior boys play football but do not wrestle?

a)

9

b)

12

c)

18

d)

104

118.

How many senior boys play football or wrestle?

a)

9

b)

21

c)

30

d)

39

119.

How many students chose only Spanish?

a)

3

b)

18

c)

104

d)

89

120.

How many students dive?

a)

4

b)

7

c)

18

d)

12

Final Exam Review

Total questions: 120

Worksheet time: 4hrs 0mins

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