Free Printable First Semester Final Exam Review Standard Math

1.

The opposite of a real number is...

a)

an unreal number

b)

an imaginary number

c)

a fake number

d)

a contradictory number

2.

A rational number...

a)

can be positive or negative

b)

can be a decimal

c)

can be expressed as a ratio

d)

All the above

3.

^{13/5 is a}

a)

Real Number

b)

Rational Number

c)

Integer

d)

Whole Number

4.

^{16 is a}

a)

Real Number

b)

Rational Number

c)

Integer

d)

Whole Number

5.

What is the best classification for this number? -4

a)

natural

b)

whole

c)

integer

d)

rational

6.

What is the best classification for this number?
π

a)

integer

b)

rational

c)

irrational

d)

imaginary

7.

Numbers like -3,-2,-1,0,1,2,3 are called?

a)

whole numbers

b)

integers

c)

rational numbers

d)

natural numbers

8.

The numbers 0,1,2,3...are called?

a)

whole numbers

b)

integers

c)

rational numbers

d)

natural numbers

9.

A rational number can be written as a fraction?

a)

True

b)

False

10.

-10 is a whole number?

a)

True

b)

False

11.

Classify the number (choose all that apply): -20

a)

natural number

b)

whole number

c)

integer

d)

rational number

e)

irrational number

12.

Classify the number (choose all that apply): 3/4

a)

natural number

b)

whole number

c)

integer

d)

rational number

e)

irrational number

13.

Classify the number (choose all that apply): 9

a)

natural number

b)

whole number

c)

integer

d)

rational number

e)

irrational number

14.

Classify the number (choose all that apply):

a)

natural number

b)

whole number

c)

integer

d)

rational number

e)

irrational number

15.

Classify the number (choose all that apply): 0

a)

natural number

b)

whole number

c)

integer

d)

rational number

e)

irrational number

16.

A real number is an irrational number

a)

Always

b)

Sometimes

c)

Never

17.

A whole number is an integer

a)

Always

b)

Sometimes

c)

Never

18.

An integer is an irrational number

a)

Always

b)

Sometimes

c)

Never

19.

A rational number is a natural number

a)

Always

b)

Sometimes

c)

Never

20.

A natural number is a whole number

a)

Always

b)

Sometimes

c)

Never

21.

Jeremy says that 5.676677666777... is a rational number because it is a decimal that goes on forever with a pattern.

Is he correct?

Why or why not?

a)

Yes, because the decimal is repeating.

b)

No, because it is an integer.

c)

No, because a pattern is not a repeating decimal.

22.

Rachel states that -5.5 is an integer because it is negative.

Is she correct?

Why or why not?

a)

Yes, because all negatives are integers.

b)

Yes, because all integers have decimals.

c)

No, because integers do not have decimals.

d)

No, because integers cannot be negative.

23.

Which could be the value of D?

a)

-10

b)

0

c)

$\frac{3}{4}$

d)

2.5

24.

Which could NOT be the value of B?

a)

5

b)

$\frac{1}{2}$

c)

-12.5

d)

$\sqrt{32}$

25.

Which example could be represented by A?

a)

-2.555555...

b)

3.14

c)

$\pi$

d)

$\frac{3}{4}$

26.

In the expression 2⁵, what is the BASE?

a)

2

b)

5

27.

Write in exponential form: 3 x 3 x 3 x 3

a)

3 x 4

b)

3⁴

c)

81

d)

3²

28.

18¹=

a)

18

b)

0

c)

324

d)

1

29.

What is equivalent to 6⁴?

a)

6×6×6

b)

4×6

c)

6×6×6×6

d)

4⁶

30.

Write the product as a power: 9 x 9 x 9

a)

729

b)

27

c)

9³

d)

3⁹

31.

Evaluate 12 to the second power

a)

12

b)

24

c)

144

d)

122

32.

In the exponent 3⁴, the three represents____________ ?

a)

power

b)

base

c)

exponent

d)

integers

33.

What does the zero exponent rule say?

a)

Anything to a zero exponent is ZERO

b)

Anything to a zero exponent is ONE

c)

Anything to a zero exponent is FIVE

d)

Anything to a zero exponent is TWO

34.

What does the negative exponent rule say?

a)

Move them & make them positive

b)

Do nothing

c)

Cry

d)

Move them & keep them negative

35.

Apply the exponent rules

a)

1

b)

2

c)

21

d)

-21

36.

Apply the exponent rules

a)

b)

c)

d)

37.

Which number is the BASE?

2³= 8

a)

2

b)

3

c)

8

38.

Which is GREATER?
2⁷ or 7²

a)

2⁷

b)

7²

c)

Neither, they are equal

39.

Which is greater, 2654⁰ or 5⁰?

a)

2654⁰

b)

5⁰

c)

They are the same

d)

Zero is greater

40.

Simplify using the exponent rules

a)

b)

c)

d)

41.

Simplify using the exponent rules

a)

b)

c)

d)

42.

Simplify using the exponent rules

a)

b)

c)

d)

43.

a)

2x

b)

2x³

c)

8x³

d)

9x⁵

44.

a)

mn⁵

b)

(mn)^-5

c)

m⁵n⁵

d)

m⁵n

45.

a)

b)

c)

d)

46.

Simplify $x^2\cdot x^5$

a)

$x^{-3}$

b)

$x^{10}$

c)

$x^7$

d)

$x^{-7}$

47.

$\frac{a^{28}}{a^4}$

a)

$a^7$

b)

$a^{32}$

c)

$24$

d)

$a^{24}$

48.

When there is no exponent connected to a base, what is the exponent? (i.e. a = a^?)

a)

0

b)

1

49.

When you divide powers with the same base, you keep the base and do what with the exponents? (i.e. $\frac{a^m}{a^n}$ )

a)

Add

b)

Subtract

c)

Multiply

d)

Divide

50.

When you multiply powers with the same base, you keep the base and do what with the exponents? (i.e. $a^m\cdot a^n$ )

a)

Add

b)

Subtract

c)

Multiply

d)

Divide

51.

When you have a power to a power, you keep the base and do what with the exponents? (i.e. $\left(a^m\right)^n$

a)

Add

b)

Subtract

c)

Multiply

d)

Divide

52.

$9^{-2}\cdot9^7=9^x$ What is the value of x?

a)

x = -14

b)

x = -9

c)

x = 5

d)

x = -5

53.

Anything to the power of zero is

a)

1

b)

0

c)

itself

54.

$\left(x^4\right)^2$ Simplify

a)

$x^8$

b)

$x^6$

c)

$x^2$

d)

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

55.

Simplify $\frac{3^2\cdot6^4\cdot7^4}{3^3\cdot5^2\cdot7^4}$

a)

$\frac{3}{6^2}$

b)

$\frac{6^2}{3^1}$

c)

12

d)

$\frac{1}{12}$

56.

Billy was asked to solve 3⁵∙3⁴. He got 9²⁰. What error did he make?

a)

When he multiplies exponents, he is supposed to add the base and the exponent

b)

When he multiplies exponents, he is supposed to multiply the base and keep the exponents

c)

When he multiplies exponents, he is supposed to keep the base and add the exponents if the base is the same

d)

None of the above

57.

The Product Rule states that when you have different bases with the same exponent then just add the exponents together.

a)

True

b)

False

58.

Using the Zero Exponent Rule, evaluate: 458⁰

a)

458

b)

0

c)

229

d)

1

59.

Rewrite with a positive exponent: 6^-2

a)

6²

b)

-6²

c)

-1/6²

d)

1/6²

60.

(8a)⁵ = 8⁵ ⋅ a⁵

a)

True

b)

False

61.

What is the base and exponent of this power: 4^-6

a)

Base: 4, Exponent: 6

b)

Base: 6, Exponent: -4

c)

Base: 4, Exponent: -6

d)

Base: -6, Exponent: 4

62.

Identify a constant in the expression
3x + 2y + 7

a)

3

b)

2y

c)

7

d)

2

63.

Identify the coefficient in the expression
4m + n + 2

a)

2

b)

4

c)

m

d)

n

64.

How many terms are in the expression
3x + 2y + z

a)

5

b)

2

c)

4

d)

3

65.

Identify the variables in the expression
3x + 9

a)

x

b)

y

c)

9

d)

3x

66.

How many terms are in the expression
3a + 2b + c + 100

a)

3

b)

4

c)

5

d)

6

67.

Identify the constant in the expression
4y + 2 + x

a)

x

b)

y

c)

4y

d)

2

68.

Which term contains a coefficient?
m + 3n + p + 3

a)

m

b)

3n

c)

p

d)

3

69.

How many terms are in the expression
3x + 2y + z

a)

5

b)

2

c)

4

d)

3

70.

Identify the variables in the expression
3x + 9

a)

x

b)

y

c)

9

d)

3x

71.

Evaluate 2a + 4b
if a = 10 and b = 6

a)

20

b)

24

c)

44

d)

4

72.

Evaluate 2r + 1 if r = 3

a)

6

b)

5

c)

7

d)

8

73.

Evaluate m² if m = 5

a)

10

b)

25

74.

Evaluate the expression: ¾ x when x = 12

a)

6

b)

8

c)

9

d)

10

75.

Evaluate when a = 15:
2(a - 5) + 2

a)

22

b)

27

c)

14

d)

7

76.

Identify the coefficient(s) in the expression 2x + 4 - x + 3x,

a)

4

b)

x

c)

2 and 3

d)

2, 4, and 3

77.

Use the distributive property to simplify 2(x + 4)

a)

2x + 4

b)

2x + 8

c)

10x

d)

x² + 8

78.

Evaluate using correct order of operations

12 - 2 ⋅ 4

a)

4

b)

46

c)

40

79.

Evaluate using correct order of operations
16 - 4(7 + 1) ÷ 2²

a)

8

b)

4

c)

20

80.

Simplify the expression 2x + 1 + 3x + 2

a)

8x

b)

3x + 5x

c)

5x + 3

81.

Identify the constants in the following expression 3 + 4x - 2x + 5?

a)

3 and 5

b)

4 and 2

c)

x because it is always x

d)

-2

82.

Which phrase matches the expression
y - 6

a)

6 decreased by a number, y

b)

A number, y, decreased by 6

c)

6 minus a number, y

83.

Which expression represents the phrase "eight fewer than the product of a number x, and four"?

a)

8 - 4x

b)

4x - 8

c)

x + 4 - 8

d)

4x ÷ 8

84.

Use the distributive property to simplify the expression 2x + 3(x - 1)

a)

5x - 3

b)

5x - 1

c)

2x

d)

5x + 3

85.

a + a + a + a

a)

a + 4

b)

4a

c)

a to the fourth power

d)

4a + 4

86.

In the following expression, the number 11 is an example of _____________?
5x³ - 7x + 11

a)

term

b)

constant

c)

coefficient

d)

variable

87.

In the following expression, the number 7 is an example of _____________?
5x³ - 7x + 11

a)

term

b)

constant

c)

coefficient

d)

variable

88.

A number, variable or product is called a ________.

a)

term

b)

coefficient

c)

variable

d)

product

89.

A number, variable or product is called a ________.

a)

term

b)

coefficient

c)

variable

d)

product

90.

A symbol for a number we don't know yet. This is usually a letter.

a)

coefficient

b)

sum

c)

variable

d)

term

91.

A number on its own that has a fixed value.

a)

constant

b)

coefficient

c)

term

d)

variable

92.

Write the phrase as an expression:

twice a number increased by 8

a)

2 + 8x

b)

2x + 8

c)

2(x + 8)

d)

8(x + 2)

93.

5 less than the product of 7 and s

a)

7s - 5

b)

5 - 7 + s

c)

7(s - 5)

d)

5 - 7s

94.

eight plus triple the number of shirts
Let s = number of shirts

a)

8 + 3s

b)

8 + s

c)

3s - 8

d)

s(8 + 3)

95.

Mike is 6 years younger than Iris. What expression can be used to find Mike’s age?

a)

6 + a

b)

6 - a

c)

a - 6

d)

6a

96.

Pat worked 4 hours on Monday and 3 hours on Friday.
If he earned the same hourly rate each day, which expression best represents the situation?

a)

7x

b)

4x + 3x

c)

4 + 3x

d)

3 + 4

97.

What is the opposite of -9?

a)

9

b)

1/9

c)

0

d)

-9

98.

What is the opposite of 3?

a)

-3

b)

0

c)

3

d)

1/3

99.

I 5 I

a)

5

b)

-5

100.

Find the Absolute Value of -18

a)

18

b)

-18

c)

36

d)

-36

101.

What is the reason that absolute value is always written as a positive?

a)

Absolute value is talking about numbers so it must be positive.

b)

Absolute value does not always have to be positive.

c)

Absolute value is like a clock it has only positive numbers.

d)

Absolute value is talking about distance, distance is always measured by positive numbers.

102.

Which is the greatest integer?

a)

-33

b)

-31

c)

-28

d)

-17

103.

Evaluate the expression.
|-2| + |-5|

a)

7

b)

-7

c)

3

d)

-3

104.

Evaluate the expression:

5|–1 + 4|

a)

25

b)

15

c)

–15

d)

–25

105.

-|-6| - |-18|

a)

24

b)

12

c)

-12

d)

-24

106.

-|20 - 6|

a)

14

b)

-14

c)

26

d)

-26

107.

|8 - (-16)|

a)

-8

b)

8

c)

-24

d)

24

108.

The following represents which property?

-2 + 3y = 3y + (-2)

a)

Associative Property of Addition

b)

Identity Property of Addition

c)

Commutative Property of Addition

d)

Inverse Property of Addition

109.

The following represents which property?

12(3) = 3(12)

a)

Commutative Property of Multiplication

b)

Associative Property of Multiplication

c)

Identity Property of Multiplication

d)

Inverse Property of Multiplication

110.

What property is illustrated below?

2 + 0 = 2

a)

Inverse Property of Addition

b)

Commutative Property of Addition

c)

Identity Property of Addition

d)

Associative Property of Addition

111.

The following represents which property?

-3 * 1 = -3

a)

Commutative Property of Multiplication

b)

Property of Zero

c)

Associative Property of Multiplication

d)

Identity Property of Multiplication

112.

What property is illustrated below?

(a + b) + c = a + (b + c)

a)

Inverse Property of Addition

b)

Associative Property of Addition

c)

Identify Property of Addition

d)

Commutative Property of Addition

113.

What property is illustrated below?

(2x + 3y) * 0 = 0

a)

Inverse Property of Multiplication

b)

Identity Property of Multiplication

c)

Property of Zero

d)

Commutative Property of Multiplication

114.

The following represents which property?

9x * 1 = 1

9x

a)

Inverse Property of Multiplication

b)

Identity Property of Multiplication

c)

Associative Property of Multiplication

d)

Property of Zero

115.

The following represents which property?

2(-x + 3) = 2(-x) + 2(3) = -2x + 6

a)

Inverse Property of Addition

b)

Distributive Property

c)

Associative Property of Addition

d)

Commutative Property of Addition

116.

The following represents which property?

3 + (-3) = 0

a)

Commutative Property of Addition

b)

Identity Property of Addition

c)

Associative Property of Addition

d)

Inverse Property of Addition

117.

Identify the property.
12+ (3 + 4) = ( 12+ 3) + 4

a)

Additive Inverse

b)

Additive Identity

c)

Commutative

d)

Associative

118.

Identify the property.
6 + -6 = 0

a)

Additive Identity

b)

Additive Inverse

c)

Commutative

d)

Associative

119.

Identify the property.
4 + -3 = -3 + 4

a)

Additive Inverse

b)

Additive Identity

c)

Commutative

d)

Associative

120.

What property of addition do the numbers HAVE to stay in the same order, but the numbers and groups can change?

a)

Associative

b)

Commutative

c)

Identity

121.

What number fills in the blank?
5 + ____ = 8 + 5

a)

5

b)

7

c)

8

122.

Which answer shows the commutative property of addition?

a)

6+9+5 = 9+6+5

b)

(6+9)+5 = 6+(9+5)

c)

6+0 = 6

123.

What does the property of Additive Inverse state?

a)

That if you add a number and its opposite is will always equal 0

b)

That if you add a number and its opposite it equals a negative

124.

How do you create a commutative equation?

a)

Divide the numbers by two

b)

Multiply the number by zero

c)

multiply a sum by multiplying each addend separately and then add the products

d)

Change the order of the numbers

125.

The commutative property of multiplication states that the order of the numbers in an equation:

a)

Should go from least to greatest

b)

Doesn't change the product

c)

Should go from greatest to least

d)

Is always important

126.

Which property of addition is shown?
(g + h) + j = g + (h + j)

a)

Commutative Property of Addition

b)

Associative Property of Addition

c)

Distributive Property

d)

Identity Property

127.

Factor the expression.
12 + 16

a)

2(3 + 4)

b)

12

c)

4(3 + 4)

d)

25

128.

Factor the expression.
42 + 14

a)

7(6 + 2)

b)

8(7 + 2)

c)

6(7 + 2)

d)

65

129.

Name the property described:
If PQ = RS then RS = PQ

a)

Reflexive

b)

Symmetric

c)

Transitive

d)

Addition

130.

If a = b, then a may be replaced by b in any expression.

a)

Transitive Property

b)

Reflexive Property

c)

Symmetric Property

d)

Substitution Property

131.

If a = b, then a may be replaced by b in any expression.

a)

Transitive Property

b)

Reflexive Property

c)

Symmetric Property

d)

Substitution Property

132.

For any number a, a = a.

a)

Transitive Property

b)

Reflexive Property

c)

Symmetric Property

d)

Substitution Property

133.

Name the property described:
If MN = OP and OP = QR, then MN = QR

a)

Reflexive

b)

Symmetric

c)

Transitive

d)

Addition

134.

Name the property described:
m∠1=m∠1

a)

Reflexive

b)

Symmetric

c)

Transitive

d)

Addition

135.

Name the property.
<A≅<A

a)

Transitive Property of Congruence

b)

Symmetric Property of Equality

c)

Reflexive Property of Congruence

d)

Symmetric Property of Congruence

136.

Which property is shown below?
__________________________
8 + 2 = 8 + 2

a)

Symmetric

b)

Slim Thug

c)

Reflexive

d)

Commutative

137.

If AB = CD and CD = EF, then AB = EF

a)

Symmetric Property of Equality

b)

Reflexive Property of Equality

c)

Transitive Property of Equality

d)

CLT or Simplify

138.

If 3x + 4x - 5 = 10, then 7x - 5 = 10

a)

Addition Property of Equality

b)

CLT or Simplify

c)

Subtraction Property of Equality

d)

Transitive Property of Equality

139.

Name the property described:
If PQ = RS then RS = PQ

a)

Reflexive

b)

Symmetric

c)

Transitive

d)

Addition

140.

For any numbers a, b, and c, if a = b and b = c, then a = c.

a)

Transitive Property

b)

Symmetric Property

c)

Reflexive Property

d)

Substitution Property

141.

-4x + 7(-x + 9) = -58

a)

x = 9

b)

x = 10

c)

x = 11

d)

x = 12

142.

-3x + 3(-x + 11) = 63

a)

x = -4

b)

x = 6

c)

x = -5

d)

x = 4

143.

24 = 6x - 6(3x +12)

a)

x = -8

b)

x = 10

c)

x = 7

d)

x = -9

144.

What does it mean to distribute?

a)

To multiply the numbers inside the parentheses by the number on the outside.

b)

To add all of the numbers together.

c)

To do the order of operations.

145.

Simplify by combining like terms:

5a + 2b - 3a + 4

a)

8a + 2b + 4

b)

2a + 2b + 4

c)

8ab

d)

4ab + 4

146.

Simplify by combining like terms:

2x + 1 + 7x

a)

10x

b)

10

c)

9x + 1

d)

9 + 1x

147.

Simplify by combining like terms:

n -10 + 9n -3

a)

-3

b)

9n-3

c)

n

d)

10n -13

148.

Simplify by combining like terms:

7v + 2 + 12 + 2v

a)

23

b)

23v

c)

9 + 14v

d)

9v + 14

149.

Simplify by combining like terms:

3x + 2x + 3y - 7y

a)

5x + 10y

b)

5x + 4y

c)

5x - 4y

d)

5x -10y

150.

(2x + 5y - z) + (-6x - 4y + 7z)

a)

-4x +6y + 6z

b)

4x + y + 6z

c)

-4x - y + 6z

d)

-4x + y + 6z

151.

Simplify the expression:
n -10 +9n -3

a)

-3

b)

9n-3

c)

n

d)

10n -13

152.

Factor:
56a³-8a

a)

8a²(56a³-8a)

b)

8a(7a²-1)

c)

8a(7a³-a)

d)

8a²(35a²-a)

153.

Factor:
2n²-8n³

a)

2n²(n-4n²)

b)

2n²(1-4n²)

c)

2n³(10-8n²)

d)

3n(1-4n)

154.

Factor:
80x⁵-70x²-60x⁷

a)

2x²(80x³-70-60x⁶)

b)

10x²(80x⁴-70x-60x⁶)

c)

10x²(8x³-7-6x⁶)

d)

3x²(80x³-40-60x⁵)

155.

6x⁵y⁴+24x⁶y²-36x³y^{3
Find the GCF}

a)

6x³y²

b)

6xy

156.

Find the Greatest Common Factor (GCF) of 14 & 22.

a)

1

b)

2

c)

7

d)

14

157.

What number could be a common denominator for these two fractions?
2/3 and 3/4

a)

3

b)

4

c)

7

d)

12

158.

Find the Least Common Multiple of 9 and 6

a)

18

b)

36

c)

38

d)

72

159.

Which of these numbers is a composite number?

a)

17

b)

51

c)

97

d)

89

160.

What is the prime factorization of 24?

a)

3 x 8

b)

3 x 2 x 2 x 2

c)

4 x 6

d)

2 x 2 x 3

161.

A prime number

a)

has one factor

b)

has more than 2 factors

c)

has 100 factors

d)

has exactly 2 factors: 1 and the number

162.

If the expanded form is 2⋅2⋅2⋅3⋅3⋅5⋅7 what would the exponential form be?

a)

2⋅3⋅5⋅7

b)

2³⋅3²⋅5⋅7

c)

2²⋅3²⋅5⋅7

d)

8⋅9⋅35

163.

What is the greatest common factor of 28y²and 49y²?

a)

7y

b)

21y²

c)

196y²

d)

7y²

164.

What is the greatest common factor of 40a²b and 48ab²?

a)

240a²b²

b)

5ab

c)

8ab

d)

4ab

165.

What is the least common multiple (LCM) of 48x²and 32x³?

a)

8x²

b)

16x²

c)

16x

d)

96x³

First Semester Final Exam Review Standard Math

Total questions: 165

Worksheet time: 3hrs 45mins

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