Free Printable pre algebra finale review

1.

State the domain of the given relation:

a)

{2, 3, 7}

b)

{1, 4}

c)

{1, 2, 3, 4, 7}

2.

State the range of the given relation.

a)

{2, 3, 7}

b)

{1, 4}

c)

{1, 2, 3, 4, 7}

3.

What is the range of the given relation?

a)

{9}

b)

{1, 4, 5, 6}

4.

The domain of the given relation is {9}.

a)

False

b)

True

5.

Does this table represent a function?

a)

Yes!

b)

No!

c)

I Don't Know

6.

Which set of ordered pairs is not a function?

a)

(1, 3), (2, 7), (3, 8), (4, 11)

b)

(2, 3), (4, 9), (3, 8), (4, 15)

c)

(1, 2), (3, 5), (6, 9), (7, 11)

d)

(-9, 4), (-6, 3), (-2, 8), (0, 21)

7.

Does the graph represent a function?

a)

Yes

b)

No

8.

For the function {(0,1), (1,-3), (2,-4), (-4,1)}, write the domain and range.

a)

D: {1, -3, -4,}
R: {0, 1, 2, -4}

b)

D: {-4, 0, 1, 2}
R:{-4, -3, 1}

c)

D: {0, 1, 2, 3, 4}
R:{1, -3, -4}

d)

D: {0, 1, 2, -4}
R: {1, -3, -4, 1}

9.

Find the RANGE

a)

{-5, -2, 1, 4}

b)

{1, -2, 4, -5}

c)

{-1, 0, 2, 3}

d)

{0, -1, 2, 3}

10.

All of the x values or inputs are called what?

a)

Domain

b)

Range

11.

All of the y values or outputs are called what?

a)

Domain

b)

Range

12.

Find the slope

a)

-5/3

b)

-3/5

c)

5/3

d)

3/5

13.

Find the slope:

a)

3/4

b)

4/3

c)

-3/4

d)

-4/3

14.

Slope is know as rise/

a)

run

b)

fall

c)

none

d)

rise

15.

Find the slope of the line.

a)

-2

b)

2

c)

-1

d)

1

16.

There are four types of slope.

a)

True

b)

False

17.

What is the slope in the picture?

a)

Positive

b)

Negative

c)

Zero

d)

Undefined

18.

What is the slope in the picture?

a)

Positive

b)

Negative

c)

Zero

d)

Undefined

19.

What is the slope in the picture?

a)

Positive

b)

Negative

c)

Zero

d)

Undefined

20.

What is the slope in this picture?

a)

Positive

b)

Negative

c)

Zero

d)

Undefined

21.

Simplify the expression.
-b + 2 + 9b

a)

2 + 8b

b)

2 - 8b

c)

-8b + 2

d)

-2 - 8b

22.

Simplify the expression.
2m - 8 - 2m - 1

a)

0

b)

9

c)

-9

d)

4m - 9

23.

Simplify the expression.
-1 + 4n + 8 + 6n

a)

10m + 9

b)

10n + 7

c)

10

d)

3n

24.

Simplify the expression.
v + 2 + v + 8

a)

v + 10

b)

2v + 6

c)

2v

d)

2v + 10

25.

Simplify the expression
-5 + 9

a)

4

b)

15

c)

-4

d)

-14

26.

Simplify the expression.
- 20 + 7

a)

13

b)

-13

c)

-27

d)

27

27.

Simplify the expression.
-9 + (-4)

a)

13

b)

-13

c)

5

d)

-5

28.

Simplify the expression.
83 + (-53)

a)

20

b)

40

c)

-40

d)

30

29.

Simplify the expression.
13x - 4y + 2x - y + 3

a)

15x - 4y - y + 3

b)

13x - 5y + 2x + 3

c)

15y - 5x - 3

d)

15x - 5y + 3

30.

2 (x + 4)

a)

2x + 4

b)

2x + 8

c)

2x + 6

d)

10x

31.

-3 (a + 3)

a)

3a - 9

b)

-3a + 9

c)

3a + 9

d)

-3a - 9

32.

(x + 10) (-2)

a)

-2x + 20

b)

-2x - 20

c)

2x - 20

d)

2x + 20

33.

3x (y + 4)

a)

3x3y + 4x

b)

3xy + 4x

c)

3xy + 12x

d)

3x + 3y + 12

34.

-10 (-3x - 5y)

a)

30x - 50y

b)

-30x - 50y

c)

80xy

d)

30x + 50y

35.

(-n + 3) (-8)

a)

n - 5

b)

n + 24

c)

8n - 24

d)

-8n - 24

36.

Solve 2x - 3 = 1

a)

3

b)

2

c)

1

d)

-2

37.

Solve -3x + 5 = -16

a)

9

b)

8

c)

-7

d)

7

38.

Solve 7 - 3y = 22

a)

-5

b)

5

c)

15

d)

-15

39.

Solve

a)

5

b)

-6

c)

6

d)

21

40.

⅔x-5=7

a)

x=18

b)

x=10

c)

x=8

d)

x=11

41.

Four times the sum of 7 and w

a)

4 x w

b)

4(7 + w)

c)

47w

42.

Four times the sum of 7 and w

a)

4 x w

b)

4(7 + w)

c)

47w

43.

Translate to an algebraic expression.

m plus the product of 6 and n

a)

m + 6n

b)

m - 6n

c)

m(6n)

d)

6mn

44.

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

a)

5x + 10y

b)

5x + 4y

c)

5x - 4y

d)

5x -10y

45.

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

a)

130p - 72

b)

122p - 72

c)

-130p - 18

d)

-130p + 72

46.

n -10 +9n -3=

a)

-3

b)

9n-3

c)

n

d)

10n -13

47.

Simplify the following expression:
-6x + 4(-x - 3)

a)

-2x - 12

b)

10x + 12

c)

-10x - 12

d)

-2x + 12

48.

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

a)

-33x + 5

b)

5 + 33x

c)

47x + 5

d)

5 - 47x

49.

Simplify the following expression:
-8 (5b + 2) -7 (b - 5)

a)

-33b + 19

b)

-47b² + 21

c)

33b - 19

d)

-47b -19

50.

Factor:
12x + 9

a)

3(4x + 3)

b)

x(12+9)

c)

3(4x - 3)

d)

not factorable

51.

Solve for x:
8x - 10 = -34

a)

4

b)

3

c)

-3

d)

-24

52.

Solve:
3(x - 2) = 18

a)

6.7

b)

4

c)

8

d)

-4

53.

³/₄(6x + 2) = 15

a)

3

b)

6

c)

18

d)

20

54.

Solve for x:
5x - 14 = 8x + 4

a)

x = 6

b)

x = -6

c)

x = -18/13

d)

x = 10/3

55.

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

a)

f = -5

b)

f = 5

c)

f = 6

d)

f = -6

56.

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

a)

y = -4

b)

y = 9

c)

y = 4

d)

y = 36/19

57.

How many solutions does this equation have? 3x + 2 = 3x + 2

a)

One Solution

b)

No Solution

c)

Infinite Solutions

58.

How many solutions does this equation have? 3x -20 = 3x + 2

a)

One Solution

b)

No Solution

c)

Infinite Solutions

59.

How many solutions does this equation have? 3x + 2 = 4x + 6

a)

One Solution

b)

No Solution

c)

Infinite Solutions

60.

Simplify the following expression:

(3x³y⁵)⁴

a)

3x¹²y²⁰

b)

81x¹²y²⁰

c)

12x¹²y²⁰

d)

81x⁷y⁹

61.

a)

A

b)

B

c)

C

d)

D

62.

Simplify (-3x⁴y⁵)²

a)

9x⁸y¹⁰

b)

-3x⁸y¹⁰

c)

3x⁸y¹⁰

d)

-9x⁸y¹⁰

63.

a)

A

b)

B

c)

C

d)

D

64.

Simplify (-2r³p²m)³

a)

-8r⁹p⁶m³

b)

-8r⁹p⁶m

c)

-6r⁶p⁵m⁴

d)

-6r⁹p⁶m³

65.

a)

A

b)

B

c)

C

d)

D

66.

a)

A

b)

B

c)

C

d)

D

67.

a)

A

b)

B

c)

C

d)

D

68.

a)

A

b)

B

c)

C

d)

D

69.

Simplify: $\left(\frac{2a^{-3}b^4}{5a^7c^3}\right)^{-1}$

a)

$\frac{5c^3}{2a^{10}b^4}$

b)

$\frac{2a^4b^4}{5c^3}$

c)

$\frac{5c^3}{2a^4b^4}$

d)

$\frac{5a^{10}c^3}{2b^4}$

70.

Simplify:

$7a^2\cdot\left(5a^6b\right)^2$

a)

^{$35a^{14}b^2$}

b)

$175a^{12}b^2$

c)

^{$175a^{14}b^2$}

d)

$35a^{14}b$

71.

Simplify:

$2x^2y^3\cdot\left(-4xy\right)^2$

a)

$16x^3y^6$

b)

$-32x^4y^5$

c)

$-8x^4y^6$

d)

$32x^4y^5$

72.

Simplify:

$\left(3x^4y^5\right)^2\cdot\left(-2x^2y^{-1}\right)^3$

a)

$-72x^{14}y^7$

b)

$72x^{14}y^{13}$

c)

$-72x^2y^{13}$

d)

$-6x^{14}y^7$

73.

Simplify:

$\left(y^3\right)^3\cdot\left(2x^4\right)^4$

a)

$8x^{16}y^9$

b)

$16x^8y^6$

c)

$2x^{16}y^9$

d)

$16x^{16}y^9$

74.

Simplify:

$\left(2x^2\cdot2x^4y^3\right)^4$

a)

$16x^{10}y^7$

b)

$32x^{24}y^{12}$

c)

$256x^{24}y^{12}$

d)

None of the above

75.

Simplify:

$\left(-5a^{-3}\right)\left(3a^6b\right)^2$

a)

$-15a^9b$

b)

$45a^9b$

c)

$-45a^9b^2$

d)

None of the above

76.

Simplify:

$\left(2x^{-3}\right)^2\left(x^5y\right)^2$

a)

$4x^4y^2$

b)

$4x^2y^2$

c)

$4y^2$

d)

None of the above

77.

$\frac{\left(4x^2y\right)^{-1}}{\left(2xy^2\right)}$

a)

$\frac{1}{8x^3y^3}$

b)

$\frac{2x}{y^3}$

c)

$\frac{2}{x^3y^3}$

d)

$\frac{1}{8xy}$

78.

$\left(x^0y^2\cdot x^3\right)^3$

a)

$2x^5y^2$

b)

$y^6x^9$

c)

$2x^7y^6$

d)

$x^8y^6$

79.

a)

$\frac{16x^{16}z^{32}}{y^{28}}$

b)

$\frac{-16x^{16}z^{32}}{y^{28}}$

c)

$\frac{x^{16}z^{32}}{16y^{28}}$

d)

$-8x^{-8}y^3z^{-12}$

80.

$\left(\frac{5w^2}{w^4y^3}\right)^{-2}$

a)

$\frac{w^{4\ }y^3}{25}$

b)

$\frac{w^4y^6}{25}$

c)

$\frac{25}{w^4y^6}$

d)

$\frac{w^4y^6}{5}$

81.

$\left(\frac{25x^4}{y^3z}\right)^0$

a)

0

b)

25xyz

c)

1

d)

$\frac{1}{y^3z}$

82.

$\left(\frac{m^3p^{-2}}{p^5}\right)^{-1}$

a)

$m^3p^7$

b)

$\frac{1}{m^3p^3}$

c)

$\frac{m^3}{p^7}$

d)

$\frac{p^7}{m^3}$

83.

$\left(\frac{x^2\cdot x^4}{x^3}\right)^{-5}$

a)

$\frac{x^3}{x^6}$

b)

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

c)

x²⁵

d)

x¹⁵

84.

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

a)

8a + 2b + 4

b)

2a + 2b + 4

c)

8ab

d)

4ab + 4

85.

A coefficient is __________.

a)

the variable

b)

a constant

c)

an exponent

d)

the number that comes before the variable

86.

How many terms does this expression have?
-18y + 7yz - 4z

a)

-18

b)

3

c)

7

d)

-4

87.

Simplify: x + 3x + 6x + x

a)

9x

b)

11x

c)

2x + 9x

d)

Can't be simplified

88.

Simplify: 7t - 3t + t - 3t

a)

2t

b)

8t - 6t

c)

14t

d)

Can't be simplified

89.

Simplify: 4q + 4t + 3q + t

a)

12tq

b)

3q + 4t

c)

7q + 5t

d)

Can't be simplified

90.

Simplify: 10w + 3d + 3w + d

a)

13w + 4d

b)

17wd

c)

13w + 3d

d)

Can't be simplified

91.

Simplify: m + m + m + m

a)

4m

b)

m⁴

c)

m

d)

Can't be simplified

92.

A variable can be _______?

a)

Any number

b)

Any letter of the alphabet

c)

only X

d)

only 1

93.

Simplify the expression: 7v + 2 + 12 + 2v

a)

23

b)

23v

c)

9 + 14v

d)

9v + 14

94.

Simplify by combining like terms.
m + 9 - 4m

a)

5m

b)

m + 5m

c)

-3m + 9

d)

4m

95.

Which expression is equivalent to $8c\ +\ 6\ -\ 3c\ -\ 2?$

a)

$5c+4$

b)

$5c+8$

c)

$11c+4$

d)

$11c+8$

96.

Simplify by combining like terms.
-14w + 8 + 9w - 2

a)

23w + 6

b)

-23w + 6

c)

-6w + 7

d)

-5w + 6

97.

Combine Like Terms

30 + 80k + 9k + 27

a)

57 + 89k

b)

57 + 720k

c)

30 + 80k

98.

Simplify: x + 3x + 6x + x

a)

9x

b)

11x

c)

2x + 9x

d)

Can't be simplified

99.

Simplify: 5 + 11y + 2

a)

5 + 11y

b)

18y

c)

11y + 7

d)

11y + 3

100.

Simplify: 15x + 19 + 2x + 4

a)

17x + 15

b)

17x + 23

c)

30x + 15

d)

13x + 15

101.

5(a + 6)

a)

5a + 6

b)

a + 30

c)

5a + 30

d)

5a - 30

102.

6 (x + y + 7)

a)

6x + 6y + 42

b)

12xy + 42

c)

6x + 6y + 7

d)

6x6y + 42

103.

Which of the following is equivalent to 4(2x + 3)

a)

8x + 12

b)

8x + 3

c)

8x - 12

d)

20x

104.

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

105.

Twice a number is 24.

a)

2n = 24

b)

2/n = 24

c)

2 + n = 24

d)

2 - n = 24

106.

Translate the statement into an equation:
6 less than twice a number is 4

a)

2n - 6 = 4

b)

6 - 2n = 4

107.

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

a)

3n - 5 = 7

b)

5 - 3n = 7

108.

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

a)

7 - n = 3

b)

n - 7 = 3

109.

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

a)

2n + 10 = 18

b)

10n + 2 = 18

110.

5 less than a number is 15.

a)

x - 5 = 15

b)

5 - x = 15

c)

15 - x = 5

111.

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

a)

6x + 13 = 21

b)

21x + 6 = 13

c)

6x + 21 = 13

112.

5 less than a number is 15.

a)

x - 5 = 15

b)

5 - x = 15

c)

15 - x = 5

113.

What is the difference between an expression and equation?

a)

Expressions have an equal sign and equations do not have an equal sign

b)

Expressions do not have an equal sign and equations do have an equal sign

c)

There is not a difference

d)

Expressions do not have variables and equations have variables

114.

What does "difference" mean?

a)

add

b)

subtract

c)

multiply

d)

divide

115.

Which equation would describe "two times a number plus five equals 15"?

a)

x + 5 = 15

b)

2x + 5=15

c)

x + 2(5) = 15

d)

2(x + 5) = 15

116.

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

117.

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

a)

3n - 5 = 7

b)

5 - 3n = 7

118.

Set up this proportion: Vito uses 9 liters of water to water 24 flower pots. He is wondering how many liters of water (w), it would take to water 40 flower pots. He assumes he'll use the same amount of water on each pot.

a)

9/40 = x/24

b)

9/24 = x/40

c)

24/9 = x/40

119.

Solve the following proportion: Vito uses 9 liters of water to water 24 flower pots. He is wondering how many liters of water (w), it would take to water 40 flower pots. He assumes he'll use the same amount of water on each pot.

a)

15 liters

b)

5.4 liters

c)

106.7 liters

d)

50 liters

120.

Solve the proportion.

a)

k=5

b)

k=3.3333333

c)

k=60

d)

k=90

121.

Madeline ran 21.7 miles in 7 hours. What is the unit rate?

a)

21.7 miles per hour

b)

3.1 miles per hour

c)

.32 miles per hour

d)

21.7
7

122.

There are 4 lemon trees for every 5 orange trees. If there are 120 trees in the orchard, how many of them are lemon trees?

a)

96

b)

53

c)

480

d)

116

123.

Is this a proportion?

a)

True

b)

False

124.

James Madison University has a ratio of 4 boys to 6 girls. If there are 18,000 total students, how many boys attend James Madison University?

a)

12,000

b)

27,000

c)

7,200

d)

45,000

125.

Cody took a trip to Europe. Upon leaving he decided to convert all of his Euros back into dollars. How many dollars did her receive if he exchanged 20 Euros at a rate of $13 to 10 Euros?

a)

$26

b)

$15.38

c)

$29

d)

$25

126.

The exchange rate for Nuevo Sole is 3 to $1. Determine how many dollars you would receive if you exchanged 24 Nuevos Soles.

a)

$9

b)

$7

c)

$8

d)

$72

127.

24 star fruit cost $47.60. How many star fruit can you buy for $11.90?

a)

4

b)

24

c)

6

d)

2

128.

The ratio of Marvels fans to DC comics fans is 5 to 4. If there are 85 Marvels fans, how many DC comic fans are there?

a)

68

b)

84

c)

106

d)

58

129.

Choose the ratio that compares dogs to cats when you have 12 dogs and 6 cats

a)

12:6

b)

6:12

c)

2:1

d)

1:2

130.

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

131.

Solve for x

a)

x = 1/10

b)

x = 10

c)

x = 4

d)

x = 5

132.

Solve for x

a)

x=6

b)

x =1/6

c)

x = 7

d)

x=9

133.

The ratio of history books to fiction books is 3 to 5. If there are 12 history books, how many fiction books are there?

a)

7

b)

20

c)

12

d)

18

e)

24

134.

Of the 50 fish John caught from the lake, 14 were trout. The estimated population of the lake is 7,500. About how many trout would you expect to be in the lake?

a)

2,100 trout

b)

2,000 trout

c)

2,200 trout

d)

2,300 trout

135.

A grading machine can grade 48 multiple-choice tests in 1 minute. How log will it take the machine to grade 300 tests?

a)

6 minutes

b)

6.25 minutes

c)

5.25 minutes

d)

5 minutes

136.

What percent of 50 is 20?

a)

40%

b)

25%

c)

2.5%

d)

4%

137.

78 is what percent of 450?

a)

5%

b)

.17

c)

17%

d)

18%

138.

What is 40% of 230?

a)

92

b)

9200

c)

9.20

d)

575

139.

The movie theater has 250 seats. 225 seats were sold for the current showing. What percent of seats are empty?

a)

10%

b)

20%

c)

80%

d)

90%

140.

A survey of 1,000 people was done by the New York Times. 80% of the people did not know the name of their representative in Congress. How many of the 1,000 people knew the name of the Congressman?

a)

200

b)

400

c)

600

d)

800

141.

Bill is in a class of 15 boys and 35 girls. 40% of the students in the class take the bus to school. How many students do not take the bus to school?

a)

15

b)

20

c)

30

d)

35

142.

In the Central City Grand Prix, out of 30 cars that started the race, 12 of them finished. What percent of the cars finished the race?

a)

20%

b)

40%

c)

60%

d)

80%

143.

Eric earned 60 points on his last test. If there were 75 possible points, what was his percent grade?

a)

20%

b)

40%

c)

60%

d)

80%

144.

On an 88 question test, Phil missed 11 questions. What is his exact grade for that test?

a)

12.5%

b)

13%

c)

87.5%

d)

88%

145.

30 is what percent of 40?

a)

75%

b)

50%

c)

25%

d)

100%

146.

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

147.

Vicky made some purchases at the Sunflower Market. She bought strawberries for $3.50, carrots for $2.25 and a bouquet of flowers for $9.95. If sales tax is 5%, what will Maria pay altogether

a)

$16.49

b)

$16.48

c)

$15.70

d)

$16.50

148.

Hank is buying a house for his pigeons, it costs $2,900.00. The sales tax rate is 6%. Hank has $3000.00 saved. How much more money will Hank need to buy his pigeon house?

a)

$174.00

b)

$74.00

c)

$3074.00

d)

$17,400.00

149.

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%

150.

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%

151.

A shoe sales associate earned $300 in August. In September she earned 8% more than she did in August. How much did she earn in September?

a)

$164

b)

$256

c)

$404

d)

$324

152.

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

a)

40%

b)

60%

c)

55%

d)

65%

153.

Last year, there were 380 students at Woodland Middle School. This year, the student population will increase by 5%. what will be the school's increased student population?

a)

399 students

b)

19 students

c)

456 students

154.

Amanda increased the amount of protein she eats every day from 48 g to 54 g. By what percentage did Amanda increase the amount of protein she eats?

a)

11.1%

b)

88.9%

c)

112.5%

d)

12.5%

155.

A seat turtle made 460 dives in 12 hours. At this rate, how many dives did the sea turtle make in 3 hours?

a)

153

b)

115

c)

120

d)

165

pre algebra finale review

Total questions: 155

Worksheet time: 11hrs 39mins

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