Free Printable Pre-Algebra Finals Review

1.

$\sqrt{216}$

a)

$6\sqrt{4}$

b)

$4\sqrt{6}$

c)

$36\sqrt{6}$

d)

$6\sqrt{6}$

2.

Simplify (evaluate):

3^-3

a)

-27

b)

-9

c)

-1/9

d)

1/27

3.

Write the equation of the line.

a)

y= -1x-3

b)

y= -3x-1

c)

y=-1/3x-1

d)

y= -3x-3

4.

What is the total surface area of the triangular prism shown?

a)

468 in²

b)

540 in²

c)

576 in²

d)

700 in²

5.

How many total outfit options are represented?

a)

12

b)

22

c)

3

6.

$97=-3\left(6n-5\right)-8$

a)

$-10$

b)

$16$

c)

$-5$

d)

$-2$

7.

Factor completely.

16xy - 24y

a)

4y (4x - 6)

b)

8y (2xy - 3y)

c)

8y (2x - 3)

d)

2xy (8 - 12y)

8.

a)

b)

c)

3x⁴y

d)

9.

You need a ladder that will reach up a 25 foot tall house when placed 10 feet away from the house. How tall does the ladder need to be?

a)

25 feet

b)

26 feet

c)

27 feet

d)

28 feet

10.

Given the list of ordered pairs, what is the x-intercept?
(8,10), (3, -4), (0, 8), (4, -3), (9, 0)

a)

(8,10)

b)

8, 3, 0, 4, 9

c)

(0,8)

d)

(9,0)

11.

Write a rule for the translation.

a)

(x -1, y + 2)

b)

(x -2, y + 1)

c)

(x +2, y - 1)

d)

(x +1, y - 2)

12.

(2x⁷)³

a)

6x²¹

b)

8x²¹

c)

6x¹⁰

d)

8x¹⁰

13.

Are these two equivalent:

2² = (-2)²

a)

Yes

b)

No

14.

Write this expression using positive exponent:

x^-7

a)

-7

b)

-7x

c)

1/x⁷

d)

-1/x⁷

15.

A holiday meal cost $12.50 a person plus a delivery fee of $30. Which equation represents the amount a holiday meal costs(y), including delivery, for x people?

a)

y = 12.50 + 30x

b)

y = 30 + 12.50x

c)

y = 12.50 + 30

d)

12.50x = 30

16.

Simplify (evaluate):

5^-2

a)

-10

b)

1/25

c)

1/(5)²

d)

-1/10

17.

Rewrite each expression with a negative exponent.
¹/_12⁴

a)

¹/_12^-4

b)

12⁴

c)

¹/_20,736

d)

12^-4

18.

Michael spent $210 on school supplies and books. This amount was 30% of his savings. How much was his savings?

a)

$700

b)

$63

c)

$630

d)

$763

19.

Simplify x²y^-5

a)

1/x²y⁵

b)

x²/y⁵

c)

y⁵/x²

d)

x²/y^-5

20.

Which is greater, 2654⁰ or 5⁰?

a)

2654⁰

b)

5⁰

c)

They are the same

d)

Zero is greater

21.

What expression is equivalent to $7^2$ ?

a)

$7^4\cdot7^2$

b)

$\frac{7^4}{7^6}$

c)

$\frac{7^6}{7^4}$

d)

$\frac{7^3}{7^5}$

22.

$\frac{7^3}{7^{10}}$

a)

$7^7$

b)

$\frac{1}{7^7}$

c)

$7^{13}$

d)

$\frac{1}{7^{13}}$

23.

$\frac{5^3}{5^2}$

a)

$5$

b)

$5^5$

c)

$5^2$

d)

$5^8$

24.

$\left(\frac{1}{4^3}\right)^5$ CHALLENGE PROBLEM. THINK DISTRIBUTE THE FIVE!!!!

a)

$\frac{1}{4^{15}}$

b)

$\frac{1}{4^8}$

c)

$\frac{1}{4^2}$

25.

$\left(877237646642375623646237\right)^0$

a)

1

b)

DON'T KNOW

c)

YOU SHOULD KNOW THE ANSWER

d)

THINK OF THE LONELIEST NUMBER!

26.

$\left(7^3\right)^4$

a)

$7^{12}$

b)

$7^7$

c)

$7^1$

27.

(x⁵)(x⁸)

a)

x¹³

b)

x^-3

c)

x⁴⁰

d)

x⁵⁸

28.

a)

-30x¹¹

b)

-30x¹⁸

c)

-x¹¹

d)

-x¹⁸

29.

a)

y¹⁶⁰

b)

y¹

c)

1

d)

y⁴

30.

24 is what percent of 60?

a)

40%

b)

20%

c)

65%

d)

NOT HERE

31.

75% of students in Grace's class are taller than 5 feet. If there are 20 students in the class, how many are taller than 5 feet?

a)

15

b)

5

c)

7

d)

12

32.

Skateboards are on sale for 30% off. The regular price of a skateboard is $89, what is the discounted price?

a)

$26.70

b)

$36.70

c)

$62.30

d)

$54.30

33.

Mrs. Ciampa had 27 students in her class last year and this year she had 30 students in her math class. What is the percent change?

a)

24%

b)

20%

c)

11%

d)

50%

34.

Find the Percent of Change. Round to nearest Percent.
Microwave: Originally $96 then price increases to $115.20

a)

20% Increase

b)

17% Increase

c)

20% Decrease

d)

17% Decrease

35.

Find the Percent of Change. Round to nearest Percent.
What is the markup rate on a $470 ring that is now $634.50?

a)

26% Decrease

b)

35% Decrease

c)

35% Increase

d)

26% Increase

36.

How would you write 4.3756 x 10⁴in standard form?

(a)

37.

How would you write 0.0005 in scientific notation?

a)

50 x 10^-5

b)

5 x 10^-4

c)

5 x 10³

d)

.5 x 10³

38.

How would you write -5.6 x 10^-3 in standard form?

(a)

39.

Solve the expression and remember to pick the answer in Scientific Notation

$4\cdot10^4\cdot2.1\cdot10^6=$

a)

$6.1\cdot10^{10}$

b)

$8.4\cdot10^{10}$

c)

$8.4\cdot10^{24}$

d)

$6.1\cdot10^{24}$

40.

Solve the expression and remember to pick the answer in Scientific Notation

$2.5\cdot10^3\cdot2\cdot10^4=$

a)

$4.5\cdot10^7$

b)

$5\cdot10^7$

c)

$5\cdot10^{12}$

d)

$4.5\cdot10^{12}$

41.

Solve the expression and remember to pick the answer in Scientific Notation:

$5.5\cdot10^2\cdot3\cdot10^5=$

a)

$16.5\cdot10^7$

b)

$1.65\cdot10^8$

c)

$16.5\cdot10^{10}$

d)

$1.65\cdot10^{10}$

42.

Solve the expression and remember to pick the answer in Scientific Notation:

$6\cdot10^{-2}\cdot4\cdot10^{-4}=$

a)

$24\cdot10^{-6}$

b)

$2.4\cdot10^{-5}$

c)

$2.4\cdot10^{-7}$

d)

$24\cdot10^{-5}$

43.

Solve the expression and remember to pick the answer in Scientific Notation:

$7.3\cdot10^{-6}\cdot4\cdot10^{-2}=$

a)

$29.2\cdot10^{-8}$

b)

$2.92\cdot10^{-7}$

c)

$2.92\cdot10^{12}$

d)

$2.92\cdot10^{-9}$

44.

Solve the expression and remember to pick the answer in Scientific Notation:

$7.2\cdot10^{-6}\div\left(4\cdot10^{-2}\right)=$

a)

$1.8\cdot10^{-8}$

b)

$1.8\cdot10^{-4}$

c)

$-1.8\cdot10^{-4}$

d)

$1.8\cdot10^3$

45.

Solve the expression and remember to pick the answer in Scientific Notation:

$3.6\cdot10^{-4}\div\left(9\cdot10^{-6}\right)=$

a)

$0.4\cdot10^{-10}$

b)

$4\cdot10^1$

c)

$0.4\cdot10^2$

d)

$4\cdot10^{-2}$

46.

Solve the expression and remember to pick the answer in Scientific Notation:

$6.9\cdot10^{-10}\div\left(3\cdot10^{-4}\right)=$

a)

$2.3\cdot10^{-14}$

b)

$2.3\cdot10^{-6}$

c)

$2.3\cdot10^{40}$

d)

$2.3\cdot10^6$

47.

How many degrees was the figure rotated?

a)

90 degrees counterclockwise

b)

180 degrees

c)

90 degrees clockwise

48.

Solve the expression and remember to pick the answer in Scientific Notation:

$5.6\cdot10^{10}\div\left(8\cdot10^4\right)=$

a)

$0.7\cdot10^6$

b)

$7\cdot10^5$

c)

$7\cdot10^{14}$

d)

$7\cdot10^{-14}$

49.

Solve the expression and remember to pick the answer in Scientific Notation:

$8.8\cdot10^7\div\left(4\cdot10^9\right)=$

a)

$2.2\cdot10^2$

b)

$2.2\cdot10^{-2}$

c)

$2\cdot10^{-2}$

d)

$2.2\cdot10^{-16}$

50.

Solve the expression and remember to pick the answer in Scientific Notation:

$5.5\cdot10^2\cdot3\cdot10^5=$

a)

$16.5\cdot10^7$

b)

$1.65\cdot10^8$

c)

$16.5\cdot10^{10}$

d)

$1.65\cdot10^{10}$

51.

Solve the expression and remember to pick the answer in Scientific Notation:

$6\cdot10^{-2}\cdot4\cdot10^{-4}=$

a)

$24\cdot10^{-6}$

b)

$2.4\cdot10^{-5}$

c)

$2.4\cdot10^{-7}$

d)

$24\cdot10^{-5}$

52.

What is the simplified version of

a)

3.9 x 10⁶

b)

4 x 10²⁰

c)

4 x 10⁶

d)

3.9 x 10²⁰

53.

$\sqrt{50}$

a)

$5\sqrt{2}$

b)

$\sqrt{5}$

c)

$2\sqrt{5}$

d)

$25\sqrt{2}$

54.

$\sqrt{96}$

a)

$16\sqrt{6}$

b)

$2\sqrt{6}$

c)

$4\sqrt{6}$

d)

$\sqrt{2}$

55.

$\sqrt{45}$ =

a)

$3\sqrt{5}$

b)

$5\sqrt{3}$

c)

$9\sqrt{5}$

d)

$5\sqrt{9}$

56.

$\sqrt{300}$

a)

$3\sqrt{10}$

b)

$2\sqrt{150}$

c)

$100\sqrt{3}$

d)

$10\sqrt{3}$

57.

√169 =

a)

3√7

b)

13

c)

7√3

d)

7√7

58.

Simplify:
-2y + 8 + 7y + 5

a)

-5y-13

b)

9y+13

c)

5y+13

d)

9y-13

59.

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

a)

13x² + 17

b)

-13x² + 13

c)

-13x + 17

d)

-7x + 17

60.

Simplify:
4(8x + 1) - 6(1 - 8x)

a)

-80x - 2

b)

80x + 2

c)

-80x + 2

d)

80x - 2

61.

Simplify:
3x - (x - 6) - 12

a)

2x - 6

b)

4x - 18

c)

2x + 6

d)

4x - 6

62.

Solve for x:

5x - 14 = 8x + 4

a)

x = 6

b)

x = -6

c)

x = -18/13

d)

x = 10/3

63.

Solve the equation

a)

28

b)

32

c)

29

d)

-28

64.

$-118=-5\left(4+7x\right)+7$

a)

$-5$

b)

$-9$

c)

$3$

d)

$-1$

65.

3(x - 3) ≤ 2(x + 2)

a)

x ≤ -5

b)

x ≥ 5

c)

x ≥ 13

d)

x ≤ 13

66.

Solve the inequality.

30 + n ≥ 50

a)

n > 50

b)

n ≥ 80

c)

n < 30

d)

n ≥ 20

67.

-8x < 48

a)

x < -6

b)

x > -6

c)

x < 6

d)

x > 6

68.

Solve:

a)

x < 24

b)

x < 3

c)

x > 24

d)

x < 10.3333....

69.

Solve the inequality.
-8k - 4 ≤ -60

a)

k < 7

b)

k > 7

c)

k ≤ 7

d)

k ≥ 7

70.

-3 − 6(4x + 6) > -111

a)

x > 3

b)

x < 3

c)

x < -3

d)

x > -3

71.

What inequality does the number line graph represent?

a)

x < 2

b)

x > 2

c)

x ≥ 2

d)

x ≤ 2

72.

Which graph matches the inequality

k < 3?

a)

A

b)

B

c)

C

d)

D

73.

Which inequality does the graph represent?

a)

x ≤ -4

b)

x ≥ -4

c)

x < -4

d)

x < 4

74.

Which graph matches the inequality

2 > p?

a)

A

b)

B

c)

C

d)

D

75.

_{^{Find the missing side}}

a)

36

b)

76.8

c)

12

d)

40

76.

You need a ladder that will reach up a 25 foot tall house when placed 10 feet away from the house. How tall does the ladder need to be?

Which diagram best represents the problem?

a)

b)

c)

d)

77.

You need a ladder that will reach up a 25 foot tall house when placed 10 feet away from the house. How tall does the ladder need to be?

Which equation could be used to solve the problem?

a)

$25^2+10^2=c^2$

b)

$25^2+b^2=10^2$

c)

$a^2+10^2=25^2$

d)

$10^2+b^2=25^2$

78.

Jane and Miguel are siblings. They go to different schools. Jane walks 6 blocks east from home. Miguel walks 8 blocks north. How many blocks apart would the two schools be if you could walk straight from one school to the other?

a)

14

b)

10

c)

5.3

d)

2

79.

Larry attached a string from the top of the flagpole to the ground. The flagpole is 26 feet high and the string is 18 feet away from the flagpole. How long is the string?

a)

352 feet

b)

31.6 feet

c)

44 feet

d)

6.6 feet

80.

Two joggers run 8 miles north and then 5 miles west. What is the shortest distance back to their starting point to the nearest tenth of a mile?

a)

13

b)

9.4

c)

6.2

d)

9

81.

How many different outfits can you wear if you have 3 shirts, 2 pairs of pants, and 4 pairs of shoes?

a)

12

b)

24

c)

9

d)

6

82.

If a restaurant offers 4 types of burgers, 3 types of drinks, and 2 types of fries, how many different meal combinations can a customer order assuming they pick one of each?

a)

24

b)

9

c)

12

d)

8

83.

Using a tree diagram, how many different three-letter codes can be created using the letters A, B, and C if letters can be repeated?

a)

9

b)

27

c)

8

d)

3

84.

The tree diagram shows the outcomes of rolling a die and flipping a coin.
How many total outcomes are there?

a)

6

b)

12

c)

24

d)

36

85.

What is the probability that you will get plain crust with ham on your pizza?

a)

1/8

b)

1/₂

c)

1/₁₀

d)

2/₁₀

86.

Jason can choose 1 pair of pants and one shirt to wear today. Here are his choices. Which tree diagram shows all of the combinations that Jason can choose from?

a)

b)

c)

d)

87.

Theoretical Probability is?

a)

What Should happen

b)

What does happen

c)

What Will Happen

d)

What I want to Happen

88.

Experimental Probability is:

a)

What Will happen

b)

What actually happens

c)

What should happen

d)

What I think Happens

89.

When rolling 1 die once, spinning a spinner once, and flipping a coin once, how many combinations are possible?

a)

13

b)

60

c)

32

d)

16

90.

What type of slope does the following graph have?

a)

Postive

b)

Negative

c)

Zero Slope

d)

Undefined

91.

Find the slope.

a)

3/2

b)

-3/2

c)

(-0,-3)

d)

none of the above

92.

Which is the graph of y= -x + 2?

a)

A

b)

B

c)

C

d)

D

93.

Determine the slope and y-intercept from the following equation: y = 3/2x + 3

a)

slope: 5 y-intercept: (0,3)

b)

slope: 3/2 y-intercept: (0,3)

c)

slope: 4 y-intercept: (0,3/2)

d)

slope: 1/5 y-intercept: (0,5)

94.

What is the constant in the following word problem:

In order to join a dancing club, there is a $30 startup fee and a $4 monthly fee.

a)

4

b)

30

c)

34

d)

26

95.

What expression would best represent the following word problem:

In order to join a dancing club, there is a $30 startup fee and a $4 monthly fee.

a)

30 + 4

b)

34m

c)

30m + 4

d)

4m + 30

96.

Which equation would best represent the word problem:

You are saving money and you started with $20. You plan on saving $15 each week. How many weeks would it take you to save $125?

a)

20w + 15 = 125

b)

20 + 15w = 125

c)

20 + 15 = 125

d)

35w = 125

97.

Speedy Boat Rental charges a $15 deposit fee plus $2 for each hour of use to rent a paddle boat. Write an equation to represent this situation.

a)

y = 2x + 15

b)

x = 15y + 2

c)

y = 15x+ 2

98.

Bob's Plumbing charges $25 per hour plus a service fee of $40 for coming out to your house. Which equation models this situation?

a)

y = 25x + 40

b)

y = 40x + 25

c)

y = 25x

d)

y = 25x - 40

99.

Eddie's Electric charges $90 per hour plus a $50 traveling fee. Which equation models this scenario?

a)

y = -50x + 90

b)

y = 90x + 50

c)

y = -90 - 50x

d)

y = 50 - 90x

100.

The slope of this line is...

a)

positive

b)

negative

c)

zero

d)

undefined

101.

Write the equation of the line.

a)

y= -1x-3

b)

y= -3x-1

c)

y=-1/3x-1

d)

y= -3x-3

102.

What is the equation of the linear function?

a)

y = -3x + 10

b)

y = -3x + 16

c)

y = 3x + 10

d)

y = 3x + 16

103.

Which equation matches the table?

a)

y = x + 5

b)

y = 5x

c)

y = x - 5

d)

x = y - 5

104.

Given these two ordered pairs, write the equation.
(2, 8) (3, 12)

a)

y = 4x + 8

b)

y = x + 4

c)

y = 4x + 4

d)

y = 4x

105.

Angles 1 and 2 are what type of angles?

a)

Supplementary

b)

Complementary

c)

Vertical

d)

Obtuse

106.

Solve for x

a)

20

b)

25

c)

120

d)

180

107.

Write the equation of a line that passes through the point (1,4) and has a slope of 9.

a)

y= 9x-4

b)

y= 9x-5

c)

y= 9x+4

d)

y= 9x+5

108.

Find the value of x.

a)

18°

b)

28°

c)

38°

d)

118°

109.

Find the value of x.

a)

15

b)

16

c)

18

d)

19

110.

Solve for angle 5

a)

65

b)

60

c)

110

d)

115

111.

Angles 5 and 6 are what type of angles?

a)

Supplementary

b)

Complementary

c)

Vertical

d)

Obtuse

112.

a)

47

b)

57

c)

53

d)

133

113.

Find the missing angle.

a)

30

b)

60

c)

90

d)

120

114.

Angle 1 is 34, angle 2 is 58, angle 3 is 100. If this shape is a quadrilateral, what is the measure of the 4th angle.

a)

186

b)

121

c)

168

d)

90

115.

What is the sum of a Quadrilaterals interior angles?

a)

180

b)

360

c)

400

d)

240

116.

What is surface area?

a)

Inside of the object

b)

the sum of all the areas of all the shapes that cover the surface of the object.

c)

Some random math concept that Mr. Simpson talks about

d)

Surface area is what you get when you boil unicorn tears.

117.

What is the volume of the cone to the nearest tenth (use the $\pi$ button)?

a)

157.1 $m^3$

b)

31.4 $m^3$

c)

471.2 $m^3$

d)

208.6 $m^3$

118.

What is the volume of the cone to the nearest tenth (use the $\pi$ button)?

a)

29.3 $m^3$

b)

88 $m^3$

c)

14.7 $m^3$

d)

44 $m^3$

119.

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

120.

Campbell Soup is creating a new soup label. If a can has a height of 6 in and a diameter of 4 in, how much material does Campbell need for each soup label? Use 3.14 for π.

Which formula can be used to find the surface area of the label?

a)

SA=2πrh+2r²

b)

SA=2πrh

c)

SA=Ph+2B

d)

V=Bh

121.

Calculate the volume:

a)

1120 ft ³

b)

600 ft ³

c)

560 ft ³

d)

64 ft ³

122.

The formula for the Volume of ...

a)

Spheres

b)

Cones

c)

Cylinders

123.

Find the volume of the Sphere

a)

78.5 m³

b)

392.5 m³

c)

523.6 m³

d)

62.8 cm³

124.

Factor completely.

3x³ + 9x

a)

3x (x²+ 3)

b)

3x ( x³ + 9)

c)

x (3x² + 9)

d)

3x (x³ + 3x)

125.

Factor completely.

12x²y⁴ - 6xy

a)

3xy (4xy³ - 2)

b)

6xy (2xy³ - 1)

c)

6xy (2x³y⁵ - x²y²)

d)

6xy ( 2xy³)

126.

Factor completely.

36a⁵bc - 12c

a)

12c (3a⁵b - 1)

b)

6c (6a⁵b - 2)

c)

12c (3a⁵b - c)

d)

12abc(3a⁴ - 1)

127.

Factor completely:

56a³-8a

a)

8a²(56a³-8a)

b)

8a(7a²-1)

c)

8a(7a³-a)

d)

8a²(35a²-a)

128.

Factor completely.

9xyz + 3xy

a)

xy (9z + 3)

b)

9xy (z + 3)

c)

3xy (3xyz + 1)

d)

3xy (3z + 1)

129.

Factor completely.

4a³b⁵ - 18a²b³ + 8a³b³

a)

4a²b³ (ab² - 4 + 2a)

b)

2a²b³ (2ab² - 9 + 4a)

c)

2a²b³ (2ab - 9ab + 4)

d)

a²b (4ab - 18a²b³ + 8ab²)

130.

What is the x-intercept for the given graph?

a)

1

b)

-2

c)

2

d)

1/2

131.

From the equation y = 3x + 18, what is the value of the x-intercept?

a)

-6

b)

6

c)

18

d)

3

132.

Give the x-intercept
3x + 8y = 24

a)

(8, 0)

b)

(0, 8)

c)

(3, 0)

d)

(0, 3)

133.

What is the y-intercept?

a)

7

b)

0

c)

1

d)

2

134.

If the quadrilateral is translated 4 units to the left and 5 units down what is the coordinates for Point A'?

a)

(4,0)

b)

(0,4)

c)

(-1,5)

d)

(5,-1)

135.

Which transformation does not preserve congruence?

a)

translation

b)

reflection

c)

rotation

d)

dilation

136.

Identify the transformation from ABCD to A'B'C'D'.

a)

Translation

b)

Reflection across the y-axis

c)

Reflection across the x-axis

d)

90^o counter clockwise Rotation

137.

Point (-5,2) is reflected over the y axis. Where is the new point located?

a)

(5,2)

b)

(-5,-2)

c)

(-5,2)

d)

(5,-2)

138.

Identify the transformation from ABC to A'B'C'.

a)

Reflection across the x-axis

b)

Reflection across the y-axis

c)

90^o clockwise rotation

d)

90^o counterclockwise rotation

139.

Find the value of X.

a)

100°

b)

110°

c)

150°

d)

168°

140.

Find angle x

a)

252^o

b)

72^o

c)

162^o

d)

171^o

141.

Question 1a. Find the sum of the interior angles for the polygon.

a)

$108\degree$

b)

$180\degree$

c)

$360\degree$

d)

$540\degree$

142.

Question 4e. Which angles are corresponding angles? Select all that apply.

a)

$\angle1+\angle5$

b)

$\angle2+\angle6$

c)

$\angle1+\angle8$

d)

$\angle4+\angle8$

e)

$\angle3+\angle7$

Pre-Algebra Finals Review

Total questions: 142

Worksheet time: 12hrs 50mins

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