Free Printable 2076 Final Exam Review (Multiple Choice)

1.

What is the definition of absolute value?

a)

The distance a number is to zero

b)

A positive number

c)

A number that has a value with a different sign

2.

Evaluate: |-12|

a)

12

b)

-12

c)

0

d)

1.2

3.

Compare: -2 and |-2|

a)

<

b)

>

c)

=

4.

What is the opposite of -12

a)

12

b)

-12

c)

0

5.

Order from least to greatest:

-2, |3|, -4

a)

-4, -2, |3|

b)

-2, |3|, -4

c)

|3|, -2, -4

d)

-2, |3|, -4

6.

-|20 - 6|

a)

14

b)

-14

c)

26

d)

-26

7.

|8 - (-16)|

a)

-8

b)

8

c)

-24

d)

24

8.

|21 + 9| − |4|

a)

30

b)

26

c)

-30

d)

-26

9.

|28−21| + |−5|

a)

-12

b)

-2

c)

12

d)

2

10.

$12+\left|-13\right|\cdot6$

a)

90

b)

-66

c)

128

d)

-90

11.

Put the following in order LEAST to GREATEST:
125%, 5/3, 12.4

a)

5/3, 12.4, 125%

b)

12.4, 5/3, 125%

c)

125%, 5/3, 12.4

d)

125%, 12.4, 5/3

12.

List the following in descending order.

a)

19/20, 19%, 0.192

b)

0.192, 19%, 19/20

c)

19/20, 0.192, 19%

d)

19%, 0.192, 19/20

13.

Which symbol makes the statement true?

a)

<

b)

>

c)

=

14.

-2 ⅙ - (-1 ¾)

a)

-5/12

b)

3 11/12

c)

5/12

d)

-2 1/10

15.

A roller coaster begins at 90 feet above ground level. Then it descends 105 feet. Find the height of the coaster after the first descent

a)

- 15 feet

b)

15 feet

c)

195 feet

d)

- 195 feet

16.

Candice and Chris run a relay race at recess. Candice runs 1 ⅓ of a lap around the track. Chris runs ½ of a lap around the track. How much farther does Candice run than Chris?

a)

⅚ laps

b)

⅔ laps

c)

¾ laps

d)

⅙ laps

17.

Evaluate the expression 16 + 36 ÷ b. For b = 4

a)

56

b)

25

c)

24

d)

13

18.

Evaluate the expression 6 + 8f. For f = 4

a)

8

b)

18

c)

38

d)

56

19.

Evaluate the expression when $x=-5$

a)

-17

b)

-13

c)

13

d)

-4

20.

What is the first step to solve this equation:
-3x + 11 = 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.

21.

Scott works on cars. He charges $35 for each car plus $7 per hour. Write an equation that represents this scenario if Kylie's car bill was $63.

a)

7x + 35 = 63

b)

7x = 63

c)

7x - 35 = 63

d)

35x + 7 = 63

22.

10 less that three times a number is 8.

a)

10 - 3x = 8

b)

3x + 10 = 8

c)

3x - 10 = 8

d)

10x - 3 = 8

23.

Speedy Boat Rental charges a $15 deposit fee plus $2 for each hour of use to rent a paddle boat. Write an equation to find out how many hours, h, they rented the Boat if the total cost was $33.

a)

h = 2(9) + 15

b)

33 = 15h + 2

c)

h = 15(9) + 2

d)

33 = 2h + 15

24.

Solve 8x - 2 = -9 + 7x

a)

x = -7/15

b)

x = 7/15

c)

x = 7

d)

x = -7

25.

4(x+9)=20

a)

x=-4

b)

x=4

c)

x=14

d)

x=-14

26.

4(5 - x) = 8 Distribute
20 - 4x = 8 Subtract 20
Keep going...you've got this?

a)

x = 3

b)

x = - 7

c)

x = 7

d)

x = - 3

27.

6(x + 3) = 48 Distribute
6x + 18 = 48 Subtract 18
6x = 30 Now what????

a)

Divide by 6
x = 5

b)

Subtract by 6
x = 24

28.

2x - 3 + 4x = 27

a)

x= 12

b)

x = 4

c)

x = 5

d)

x = 15

29.

8v - 4(v + 8) = 8

a)

2

b)

10

c)

4

d)

-4

30.

Solve the equation.

−(7 − 4x ) = 9

a)

x = -4

b)

x = 0

c)

x = 1

d)

x = 4

31.

18 = 3(3x-6)

a)

4

b)

1/44

c)

- 44

d)

- 4

32.

Solve: -7(z - 6) = -70

a)

16

b)

-16

c)

8

d)

-1/2

33.

Simplify each expression by combining like terms.

2x + 5 + x - 4

a)

3x + 1

b)

3x + 9

c)

3x-1

d)

4x

34.

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

a)

8a + 2b + 4

b)

2a + 2b + 4

c)

8ab

d)

4ab + 4

35.

A coefficient is __________.

a)

the variable

b)

a constant

c)

an exponent

d)

the number that comes before the variable

36.

Do I need to flip my sign?
3x ≥ 12

a)

Yes

b)

No

37.

Do I need to flip my sign?
-3x ≥ 12

a)

Yes

b)

No

38.

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

a)

Open

b)

closed

39.

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

a)

A

b)

B

c)

C

d)

D

40.

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

a)

A

b)

B

c)

C

d)

D

41.

Which number line shows the solution to:
11x + 14 < –8?

a)

a

b)

b

c)

c

d)

d

42.

There are no more than 18 students on the hall.

a)

s>18

b)

s<18

c)

s≤18

d)

s≥18

43.

There are fewer than 150 children at the playground.

a)

c<150

b)

c>150

c)

c≤150

d)

c≥150

44.

At least 25 cats are on my porch.

a)

c<25

b)

c>25

c)

c≤25

d)

c≥25

45.

Match the graph with its inequality.

a)

b > –2

b)

b < –2

c)

b ≥ –2

d)

b ≤ –2

46.

What is the constant of proportionality?

a)

3

b)

4

c)

2

d)

5

47.

A recipe calls for 3/4 cup of brown sugar for every 3 eggs. What is the unit rate of eggs per cup?

a)

1 cup per egg

b)

2 cups per egg

c)

3 eggs per cup

d)

4 eggs per cup

48.

What is the constant of proportionality for this table?

a)

$1/9 per hour

b)

$9 per hour

c)

$8 per hour

49.

Identify the constant of proportionality.

a)

k = 2x

b)

k = 2

c)

k = 4

d)

none (not proportional)

50.

Identify the constant of proportionality.

a)

k = 6

b)

k = 12

c)

k = 1/6

d)

k = 1/12

e)

none (not proportional)

51.

The constant of proportionality of this graph is k = 45. What does it mean?

a)

The boat travels for 45 miles for every 45 hours

b)

The boat travels 1 mile for every 45 hours

c)

The boat travels 45 miles for every 1 hour

d)

The boat travels 1/45 mile for every 1 hour

52.

What is 12% of 40?

a)

5

b)

4.8

c)

4

d)

12

53.

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

54.

200 children attended the school play. Of the total attendance, 40% were boys. How many girls attended the school play?

a)

800

b)

180

c)

80

d)

120

55.

The bill amount is $6.68.

What would the tip be if you left 23%?

a)

$4.22

b)

$5.91

c)

$1.54

d)

$0.52

56.

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

57.

A TV is regularly priced at $600, but it is on sale for 20% off. What's the sale price?

a)

$320

b)

$500

c)

$480

d)

$720

58.

A local bakery sold 50 loaves of bread in one day. If 70% of these were sold in the afternoon, how many loaves were sold in the morning?

(a)

59.

My dog's weight is now 125% of what she weighted one year ago. If her weight then was 30kg, what is her weight now?

a)

31.25

b)

30.125

c)

37.5

d)

37.125

60.

A grocery store has a 20% markup on bottle of soda. The bottle of soda costs the store $1.25. Find the selling price. Round to nearest cent if necessary.

a)

$1.5

b)

$1.50

c)

$.25

d)

$1.45

61.

Sales tax is __________ to the price

a)

subtracted

b)

added

c)

multiplied

d)

divided

62.

A water bottle costs $9.45. Sales tax is 7%. What is the total cost?

a)

$9.52

b)

$0.66

c)

$10.11

d)

$8.79

63.

Dinner at the Olive Garden cost $52.37. You leave a 20% tip. What is the total cost?

a)

$72.37

b)

$10.47

c)

$62.84

d)

$41.90

64.

How much would the tip be if you left 18% on a $75.45 steak dinner?

a)

$ 13.58

b)

$ 89.03

c)

$ 61.87

d)

$135.80

65.

Pam drew a scale drawing of a game room. She used the scale 1 inch : 2 feet. If the air hockey table is 5 inches in the drawing, how long is the actual air hockey table?

a)

10 Feet

b)

2.5 Feet

c)

5 Feet

d)

15 Feet

66.

Desmond measured a city park and made a scale drawing. The scale he used was 1 centimeter : 9 meters. The actual width of the soccer field is 54 meters. How wide is the field in the drawing?

a)

6 cm

b)

486 cm

c)

9 cm

d)

54 cm

67.

A building is 360 feet tall. On a scale drawing, 1/4 inch = 10 feet. What is the height of the building in the scale drawing?

a)

15 in

b)

9 in

c)

7 in

d)

13 in

68.

This scale drawing shows a parking lot. What is the length of the longer side of the actual lot?

a)

63 m

b)

235 m

c)

315 m

d)

630 m

69.

Discount is ____________ from the price.

a)

added

b)

divided

c)

subtracted

d)

Mr. Ed is very old

70.

In a class of 30 kids, 3 forgot to get their report cards signed. What percent is that?

a)

3%

b)

30%

c)

10%

d)

70%

71.

Starting money = $350.
Interest rate = 2.5%
TIme = 3 years.
How much interest?

a)

$7.50

b)

$26.25

c)

$87.5

d)

$262.50

72.

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

73.

Anna invested $2,500 at an annual rate of 5%. How long will it take until Anna earns $1,125 in interest?

a)

5 years

b)

8 years

c)

10 years

d)

9 years

74.

Javon has a credit card with a $1,583 balance. His interest rate is 8.8%. If he does not pay for 3 years, how much interest does he owe?

a)

$4,179

b)

$417.91

c)

$133,930

d)

$41,791

75.

a)

acute

b)

obtuse

c)

right

76.

a)

acute

b)

obtuse

c)

right

77.

a)

acute

b)

obtuse

c)

right

78.

a)

equilateral

b)

isosceles

c)

scalene

79.

a)

equilateral

b)

isosceles

c)

scalene

80.

a)

equilateral

b)

isosceles

c)

scalene

81.

Calculate the value of x

(a)

82.

Calculate the value of x

(a)

83.

Find the angle x in the given figure

a)

$50\degree$

b)

$60\degree$

c)

$90\degree$

d)

$45\degree$

84.

What does "circumference" mean?

a)

Space a circle takes up

b)

Distance around a circle

c)

Line from one side of a circle to another

d)

Line from center of circle to side

85.

What is the radius?

a)

18

b)

72

c)

38

d)

14

86.

What is the diameter and circumference?

a)

16 and 50.24 cm

b)

8 and 200.96 cm

c)

16 and 200.96 cm

d)

8 and 50.24 cm

87.

What is the radius and circumference?

a)

18 and 36

b)

18 and 18pi

c)

36 and 108pi

d)

36 and 36pi

88.

Is the red line a radius or diameter of the circle?

a)

Radius

b)

Diameter

89.

Is the red line a radius or diameter of the circle?

a)

Radius

b)

Diameter

90.

Jayne has a very large circular lollipop that has a circumference of 25.12 inches. What would the diameter of Jayne’s lollipop be? Use π = 3.14.

a)

4 in.

b)

8 in.

c)

12 in.

d)

16 in.

91.

The circumference is 62.8 inches. What is the radius?

a)

20 inches

b)

10 inches

c)

6.28 inches

d)

31.4 inches

92.

Find the diameter of a circle with a circumference of 40.82 inches.

a)

12 inches

b)

13 inches

c)

20.41 inches

d)

22 inches

93.

Find the radius of a circle with a circumference of 59.66 feet.

a)

19 feet

b)

25.5 feet

c)

13.5 feet

d)

9.5 feet

94.

Find the area of this Semicircle with a diameter of 18 cm

a)

254.34 cm

b)

127.17 cm

c)

56.52 cm

d)

28.26 cm

95.

The figures below are similar. The labeled sides are corresponding.

What is the area of the larger square?

a)

25 m²

b)

1.25 m²

c)

20 m²

d)

16 m²

96.

What is the perimeter of the rectangle?

a)

28 sq feet

b)

28 feet

c)

48 feet

d)

48 sq feet

97.

What is the area of this square given the perimeter is 56 ft?

a)

169 ft²

b)

209 ft²

c)

196 ft²

d)

260 ft²

98.

Ben wanted to make a rectangular dog pen with an area of 36 square feet. What could the dimensions of his dog pen be?

a)

3 x 6 feet

b)

9 feet + 9 feet

c)

9 x 4 feet

99.

Area of triangle?

a)

17 units²

b)

20 units²

c)

10 units²

d)

16 units²

100.

Find the area of the triangle pictured.

a)

22.5 cm²

b)

45 cm²

c)

15.75 cm²

d)

31.5 cm²

101.

Find the supplement of an angles that measures 20 degrees.

a)

160

b)

70

c)

340

d)

90

102.

What is the supplement of 164?

(a)

103.

What is the complement of 13 degrees?

(a)

104.

What is the complement of 45 degrees?

(a)

105.

What is the surface area of this figure?

a)

200 cm ²

b)

800 cm ²

c)

400 cm ²

d)

100 cm ²

106.

What is the Surface Area?

a)

101.94 mm²

b)

110.94 mm²

c)

110.49 mm²

d)

101.49 mm²

107.

A rectangular brick has a length of 5 centimeters, a width of 9 centimeters and a height of 20 centimeters. What is the surface area of the brick?

a)

650 cm²

b)

600 cm²

c)

525 cm²

d)

450 cm²

108.

Michael has a very large soup pot shaped like a cylinder that has a height of 15 inches and a radius of 6 inches. How much soup can Michael’s soup pot hold?

a)

4239 in³

b)

423.9 in³

c)

1695.6 in³

d)

1695.6 in²

109.

Which cylinder will have a larger volume?

a)

Cylinder A

b)

Cylinder B

110.

Find the volume of the cylinder. Round your answers to the nearest tenth if necessary. Use 3.14 for π.

a)

124.6 in³

b)

87.9 in³

c)

97.5 in³

d)

78.9 in³

111.

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

112.

The letters that form the word ALGEBRA are placed in a bowl. What is the probability of choosing a letter other than “A”?

a)

2/7

b)

5/49

c)

5/7

d)

10/49

113.

a)

0%

b)

1/6, 16.7%

c)

1/2, 50%

d)

6/6 100%

114.

a)

1/6, 16.7%

b)

5/6, 83.3%

c)

1/5, 20%

d)

100%

115.

Is the spinner more likely or less likely to land
on green than yellow?

a)

more likely

b)

less likely

116.

Is it certain or impossible for the spinner to land on orange?

a)

imposssible

b)

certain

117.

Find the probability of rolling a 7 on a single die.

a)

1/6

b)

7/6

c)

0

d)

7/7

118.

The fundamental counting principle

a)

Tells you the probability of an event.

b)

Tells you how many different possible outcomes there are.

c)

Helps you convert a fraction into a percent.

d)

Shows you the outcomes that don't appear in a tree diagram.

119.

If I use the fundamental counting principle, how many different outcomes are there if I flip 4 different 2-sided coins?

a)

8, because 4 x 2 = 8

b)

6, because 4 + 2 = 6

c)

16, because 2 x 2 x 2 x 2 = 16

d)

256, because 4 x 4 x 4 x 4 = 256

120.

How many outfits are possible with 5 pairs of jeans, 8 t-shirts, and 2 pairs of shoes?

a)

15

b)

40

c)

80

d)

10

121.

At a New Car Dealership a particular model comes in 4 trim levels, 5 different colors, and 3 different interiors. How many different versions of this car model can be created from these options?

a)

180

b)

23

c)

12

d)

60

122.

The student council is selling sweatshirts written with Pennbrook and our emblem. The shirts come in colors, styles, and sizes. There are 3 colors (white, gray, black); 2 styles (hooded, crew). If there are 18 different order possibilities, how many sizes are available to order?

a)

3

b)

6

c)

9

123.

How many total outfit options are represented?

a)

12

b)

22

c)

3

124.

Distribute and simplify. Do not add spaces to your answer.

$\frac{3}{4}\left(8c\ +\ 16\right)$

(a)

125.

$\frac{2}{3}\left(3b\ -9\right)$

a)

2b - 6

b)

6b - 18

c)

2b - 3

d)

3b - 3

126.

Simplify the expression:

-2(3x + 4y + 1)

a)

- 6x + 8y + 2

b)

- 6x - 8y - 1

c)

- 6x - 8y + 2

d)

- 6x - 8y - 2

127.

Simplify entirely: 6 (x + 2x + 7)

a)

6x + 12x + 42

b)

12xy + 42

c)

18x + 42

d)

6x6y + 42

128.

Distribute the following:
-(x - 5)

a)

-x - 5

b)

x + 5

c)

-x + 5

d)

x - 5

129.

(3x + 2) – (5x + 1)

a)

8x + 3

b)

2x + 1

c)

-2x + 1

d)

-2x + 3

130.

(x + 5) - (4x - 3)

a)

5x + 8

b)

-3x + 2

c)

5x + 2

d)

-3x + 8

131.

If m∠1 = 30°, then m∠3 =

a)

30°

b)

60°

c)

150°

d)

undetermined

132.

Name the angle relationship.

a)

Alternate Interior

b)

Alternate Exterior

c)

Corresponding

d)

Vertical Angles

133.

Name the alternate interior angle to angle 3.

a)

4

b)

5

c)

6

d)

8

134.

Name the corresponding angle to angle 4.

a)

angle 8

b)

angle 6

c)

angle 2

d)

angle 5

135.

Find D

a)

∠D=116°

b)

∠D=64°

c)

∠D=180°

d)

∠D=26°

136.

Which pair of angles add up to 180 degrees?

a)

A and W

b)

C and X

c)

D and X

d)

A and G

137.

If angle 1 is 135 degrees, how many degrees is angle 3?

a)

45 degrees

b)

65 degrees

c)

135 degrees

d)

225 degrees

138.

If angle 8 is 70 degrees, how many degrees is angle 2?

a)

20 degrees

b)

70 degrees

c)

110 degrees

d)

130 degrees

139.

If angle 6 is 25 degrees, how many degrees is angle 7?

a)

25 degrees

b)

50 degrees

c)

90 degrees

d)

155 degrees

140.

Find y.

a)

130

b)

50

141.

Which person has the higher upper extreme and what is that number?

a)

Irene, 90 minutes

b)

Janelle, 80 minutes

c)

Irene, 80 minutes

d)

Janelle, 70 minutes

142.

What is the median of the data?

a)

10

b)

12

c)

13

d)

14

e)

18

143.

What is the range of the data?

a)

80

b)

10

c)

70

d)

40

e)

30

144.

For the data set shown, what is the median?

{10, 12, 14, 14, 16, 18, 20, 20}

a)

14

b)

15

c)

15.5

d)

16

145.

Which group of people has 50% of the data above 5 magazines each day?

a)

Children

b)

Adults

146.

What is the lower quartile of the data?

a)

30

b)

40

c)

70

d)

80

e)

100

147.

What is the inner quartile range of the weekly car sales?

a)

10

b)

6

c)

4

d)

3

148.

No one scored a 100 in 2nd period.

a)

TRUE

b)

FALSE

149.

The IQR in 2nd period is greater than the IQR in 1st

period.

a)

TRUE

b)

FALSE

150.

The mode of the data is found at which number?

a)

0

b)

10

c)

3 & 5

d)

6 & 7

151.

What is the MEDIAN of this data

a)

95

b)

90

c)

100

d)

40

152.

What is the MEAN for this data?

a)

80

b)

1040

c)

13

d)

81

153.

What is the interquartile range for the Checkers Club?

a)

4

b)

5

c)

10

d)

11

154.

Which car club has the higher median?

a)

Cruisers

b)

Car Hops

155.

What is the mean of the data? (0's still count as numbers)

a)

2.1333...

b)

32

c)

15

d)

2.46

156.

Describe the cross section.

a)

triangle

b)

rectangle

c)

oval

d)

trapezoid

157.

What shape is the BASE of this figure?

a)

Hexagon

b)

Triangle

c)

Rectangle

d)

Circle

158.

What shape will the horizontal cross-section of a sphere be?

a)

Dome

b)

Circle

c)

Ellipse

d)

Rectangle

159.

What shape will the vertical cross -section of a cylinder be?

a)

Circle

b)

Triangle

c)

Rectangle

d)

Ellipse

160.

Describe this cross section:

a)

Rectangle

b)

Triangle

c)

Trapezoid

d)

Square

161.

What is the name of the following 3D shape?

a)

Rectangular prism

b)

Rectangular pyramid

c)

Triangular prism

d)

Triangular pyramid

162.

What is the constant of proportionality for Brent?

(a)

163.

What is the constant of Proportionality for Erin?

(a)

164.

Which situation represents the graph

a)

Guiseppe drives a tow truck 75 miles every hour.

b)

Whitney spends $150 on two car parts.

c)

It takes Jake's auto repair 4 hours to complete 300 repairs.

d)

Quante drives 50 miles per hour

165.

$-\frac{4}{5}-\left(\frac{1}{12}\right)=$

a)

$\frac{43}{60}$

b)

$\frac{50}{60}$

c)

$\frac{53}{60}$

d)

$-\frac{5}{6}$

2076 Final Exam Review (Multiple Choice)

Total questions: 165

Worksheet time: 28hrs 30mins

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