Deck 12: Basic Algebra Review

Question 1

Find the specified subset.
The rational numbers in the set

A) 0.48, 5.011001100011 . . . , 5.1414 . . .
B) 11, -8, 0.48, 5.1414 . . .
C)
D)

Answer 1

11, -8, 0.48, 5.1414 . . .

Question 2

Use the properties of opposites to complete the equation.
-(-1) = _____

A) 1
B) 0
C) -1
D) None of the above

Answer 2

1

Question 3

Find the specified subset.
The natural numbers in the set

A) 19
B) 19, -12, 0
C) 19, 0
D)

Answer 3

19

Question 4

Complete the statement using the indicated property.
(5x + 5y) + 5z = ______ , associative

A) (5y + 5x + 5z)
B) 5x + (5y + 5z)
C) (5y + 5x) + 5z
D) (5x + 5y + 5z)

Question 5

Complete the statement using the indicated property.
-4(x + 2) = ______ , distributive

A) -4x + 2
B) x - 8
C) -4x - 8
D) 4x - 8

Question 6

Complete the statement using the indicated property.
5 + x = ______ , commutative

A) -x - 5
B) x - 5
C) x + 5
D) 5 - x

Question 7

Complete the statement using the indicated property.
2(5y) = ______ , associative

A) (2 · 5) y
B) 5(y · 2)
C) 2(y · 5)
D) (5y) · 2

Question 8

Find the specified subset.
The irrational numbers in the set

A) 13, -24, 0.81, 5.1414 . . .
B)
C)
D)

Question 9

Find the specified subset.
The whole numbers in the set

A) 1, -5, 0
B) 1
C)
D) 1, 0

Question 10

Complete the statement using the indicated property.
= 1, multiplicative inverse

A) 36
B) -1
C) 6
D) 1

Question 11

Use the properties of opposites to complete the equation.
= _____

A)
B)
C)
D) None of the above

Question 12

Find the specified subset.
The integers in the set

A) 19, 0
B) -23
C) 19, -23, 0
D) 19, -23, 0, 3.14

Question 13

Complete the statement using the indicated property.
5 + 0, additive inverse

A) 0
B)
C) 5
D) -5

Question 14

Complete the statement using the indicated property.
0.25 = 1, multiplicative inverse

A) -4
B) 25
C) 4
D) 16

Question 15

Find the specified subset.
The real numbers in the set

A) 12, -7, 0, 2.7183
B) 12, -7, 0
C)
D)

Question 16

Use the properties of opposites to complete the equation.
= _____

A)
B)
C)
D) None of the above

Question 17

Use the properties of opposites to complete the equation.
-1(-5.5) = _____

A) 0
B) 5.5
C) -5.5
D) None of the above

Question 18

Complete the statement using the indicated property.
-5 + = 0, additive inverse

A) 0
B)
C) -5
D) 5

Question 19

Complete the statement using the indicated property.
4x - 8 = ______ , distributive

A) 4(x - 2)
B) 4x + 8
C) 4(x - 8)
D) x - 2

Question 20

Complete the statement using the indicated property.
xy = ______ , commutative

A)
B) yx
C)
D)

Question 21

Evaluate the expression for the given values.
, if a = 10, b = 6, and c = 4

A)
B)
C)
D) 3

Question 22

Use the symbolic definition of absolute value to simplify the expression.

A) 2
B) 0
C) -2
D) None of the above

Question 23

Use the symbolic definition of absolute value to simplify the expression.

A)
B) 5
C)
D) None of the above

Question 24

Use the order of operations to evaluate the expression.
(-5 + 10)

A) -4305
B) -205
C) -20
D) 95

Question 25

Use the order of operations to evaluate the expression.
62 - 12 ·3 + 11

A) 700
B) 37
C) 64
D) 161

Question 26

Use the order of operations to evaluate the expression.
84 - 7 ·3 + 96 ÷ (-16)

A) -11
B) 57
C) -476
D) 225

Question 27

Use the order of operations to evaluate the expression.
· (1 ÷ 3 + 4)

A)
B) 2
C)
D)

Question 28

Evaluate the expression for the given values.
- 3ab, if a = -4, b = 3, and c = 4

A) -28
B) 20
C) 44
D) 52

Question 29

Evaluate the expression.

A) 81
B) 18
C) -18
D) -81

Question 30

Evaluate the expression.

A) -25
B) -32
C) -10
D) 25

Question 31

Use the order of operations to evaluate the expression.
17 + 25 ·15 + 9

A) 66
B) 1008
C) 639
D) 401

Question 32

Use the symbolic definition of absolute value to simplify the expression.

A) -4.5
B) 4.5
C) 0
D) None of the above

Question 33

Evaluate the expression for the given values.
, if a = 2, b = -4, and c = 3

A) 361
B) 169
C) 38
D) -361

Question 34

Evaluate the expression.

A) 32
B) -4096
C) -32
D) 4096

Question 35

Use the order of operations to evaluate the expression.

A)
B)
C)
D)

Question 36

Use the order of operations to evaluate the expression.
4[-6 - 6(5 + 5)]

A) -484
B) -480
C) -84
D) -264

Question 37

Use the order of operations to evaluate the expression.
(9 + (-6))[6 + (5 + 7)]

A) 54
B) 21
C) 17
D) 102

Question 38

Use the symbolic definition of absolute value to simplify the expression.

A) 0
B) -1.5
C) 1.5
D) None of the above

Question 39

Use the order of operations to evaluate the expression.
2(2 - 4 1 - 2 )

A) -4
B) 0
C) -6
D) 12

Question 40

Use the order of operations to evaluate the expression.
2 + - (-4) ·2

A) 4
B) 20
C) 14
D) -2

Question 41

Evaluate the expression without a calculator.

A)
B) -625
C)
D) 625

Question 42

Evaluate the expression without a calculator.

A)
B) 25
C)
D)

Question 43

Use the properties of real numbers to simplify the expression.
(-8y)

A) -4y
B) 2y
C) 3y
D) 4y

Question 44

Evaluate the expression without a calculator.

A) 2
B)
C)
D)

Question 45

Use the properties of real numbers to simplify the expression.
-7x - (-5x)

A) -2x
B) 2x
C) -7x
D) -2

Question 46

Use the properties of real numbers to simplify the expression.
(1 - 4x) + (8x + 6)

A) 4x + 5
B) -4x + 7
C) 8x + 7
D) 4x + 7

Question 47

Evaluate the expression without a calculator.
(-5)-4

A)
B)
C) 625
D) -625

Question 48

Evaluate the expression without a calculator.
-2-4

A)
B) 16
C)
D) -16

Question 49

Evaluate the expression without a calculator.

A) 3
B) 2
C) 0
D) 1

Question 50

Use the properties of real numbers to simplify the expression.

A) 7x
B) 4 - 3x
C) x
D) 4 + 3x

Question 51

Evaluate the expression without a calculator.
4-3

A)
B) 64
C)
D) -64

Question 52

Evaluate the expression without a calculator.

A) 0
B) -2
C) -7
D) 1

Question 53

Use the properties of real numbers to simplify the expression.
- (15y + 3x + 15z)

A) -10y - 2x + 10z
B) -10y + 2x + 10z
C) -10y - 2x - 10z
D) -10y + 2x - 10z

Question 54

Use the properties of real numbers to simplify the expression.
3(3x + 5) - 4(3x - 1)

A) -3x + 19
B) 21x + 19
C) -3x - 19
D) -3x + 11

Question 55

Simplify. Write answers without negative exponents. Assume that all variables represent nonzero real numbers.

A)
B)
C)
D)

Question 56

Evaluate the expression for the given values.
, if a = 7 and b = 4

A) -33
B) 33
C) 65
D) 6

Question 57

Evaluate the expression without a calculator.

A)
B)
C)
D)

Question 58

Evaluate the expression without a calculator.

A) 8
B) - 8
C)
D)

Question 59

Evaluate the expression for the given values.
, if a = -4 and c = 5

A) 41
B) -41
C) 9
D) 2

Question 60

Evaluate the expression for the given values.
, if a = -3 and b = 6

A) 6
B) -6
C) -9
D) 9

Question 61

Evaluate the expression.

A) 45
B) 22.5
C) 90
D) 180

Question 62

Simplify. Write answers without negative exponents. Assume that all variables represent nonzero real numbers.

A)
B)
C)
D)

Question 63

Simplify. Write answers without negative exponents. Assume that all variables represent nonzero real numbers.

A)
B)
C)
D)

Question 64

Evaluate.

A)
B)
C)
D)

Question 65

Perform the indicated operations. Write answers using only positive exponents. Assume variables represent positive real
numbers.

A)
B)
C)
D)

Question 66

Simplify. Write answers without negative exponents. Assume that all variables represent nonzero real numbers.

A)
B)
C)
D) 3, 6
E)

Question 67

Evaluate.

A) Not a real number
B) 17
C) 16
D) 128

Question 68

Perform the indicated operations. Write answers using only positive exponents. Assume variables represent positive real
numbers.

A)
B)
C)
D)

Question 69

Evaluate the expression.

A) 16,807
B) 28
C) 196
D) 7

Question 70

Evaluate the expression.

A) -27
B) 243
C) -3
D) 81

Question 71

Evaluate the expression.

A) 65,536
B) 262,144
C) 16,384
D) 1024

Question 72

Simplify. Write answers without negative exponents. Assume that all variables represent nonzero real numbers.

A)
B)
C)
D)

Question 73

Evaluate.

A) -5
B) 5
C)
D) 621

Question 74

Evaluate the expression.

A) 256
B) 768
C) 4
D) 12

Question 75

Simplify. Write answers without negative exponents. Assume that all variables represent nonzero real numbers.

A)
B)
C)
D)

Question 76

Evaluate.

A) -36
B) -6
C) 6
D) 36

Question 77

Perform the indicated operations. Write answers using only positive exponents. Assume variables represent positive real
numbers.

A)
B)
C)
D)

Question 78

Evaluate the expression.

A) 128
B) 32
C) 16
D) 64

Question 79

Simplify. Write answers without negative exponents. Assume that all variables represent nonzero real numbers.

A)
B)
C)
D)

Question 80

Simplify. Write answers without negative exponents. Assume that all variables represent nonzero real numbers.

A)
B)
C)
D)