Free Printable Chapter 5 Review (5.1

1.

Which of the following is equivalent to 5(a + 6)?

a)

5a + 6

b)

a + 30

c)

5a + 30

d)

5a - 30

2.

Which of the following is equivalent to 2(c - 8)?

a)

2c - 16

b)

2c + 16

c)

2c - 8

d)

c - 16

3.

Which of the following is equivalent to 4(p - 6)?

a)

-4p - 24

b)

4p + 24

c)

4p + 24

d)

4p - 24

4.

3(2c - 5)

a)

6c - 15

b)

6c + 15

c)

6c + 15

d)

-6c - 15

5.

3(6x-5)

a)

18x-15

b)

18x+-15

c)

9+15x

d)

9x-15

6.

Which of the following is equivalent to 5(2x + 6)?

a)

10x + 30

b)

10x + 6

c)

40x

d)

2x + 30

7.

Which of the following is equivalent to 6(8x -2)?

a)

48x - 6

b)

48x - 12

c)

36x

d)

42x

8.

Which of the following is equivalent to 9(5c + 4)?

a)

45c + 36

b)

81c

c)

45c + 4

d)

49c

9.

5x + 3y + 5 + 4x + 3y + y + 8

a)

9x + 7y + 13

b)

6x + 2y + 2

c)

25x + 2y + 3

d)

x + 7y + 12

10.

Simplify the following expression:
3 + 5x + 8 - 2x

a)

-3x² - 11

b)

3x² + 11

c)

11 - 3x

d)

11 + 3x

11.

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

a)

8a + 2b + 4

b)

2a + 2b + 4

c)

8ab

d)

4ab + 4

12.

Simplify the expression: 2x + 1 + 7x

a)

10x

b)

10

c)

9x + 1

d)

9 + 1x

13.

Simplify the expression: 2x + 1 + 7x

a)

10x

b)

10

c)

9x + 1

d)

9 + 1x

14.

Simplify the expression: 3x + 2x

a)

5x

b)

x

c)

6x

d)

5

15.

X²can be combined with X

a)

True

b)

False

16.

2f + f

a)

3f

b)

2f

c)

f

17.

10( b + 3)

a)

10b + 30

b)

30b

c)

10b + 3

d)

10b - 3

18.

Collect like terms:
4y + 8d - 2y + 3d

a)

11d + 6y

b)

11d + 2y

c)

6y + 5d

19.

Simplify: 20n + 4 + 5 + 7n

a)

36n

b)

24n + 2n

c)

27n + 9

d)

24n + 12

20.

3y + 5

a)

term

b)

variable

c)

coefficient

d)

constant

21.

y + 5x - 10

a)

coefficient

b)

terms

c)

variables

d)

constant

22.

2x + 3y + 5x = 75

a)

coefficeient

b)

constant

c)

terms

d)

variables

23.

What is the coefficient in this expression? 5c + 2

a)

5c

b)

c

c)

5

d)

2

24.

What is the constant in this expression? 5c + 2

a)

c

b)

5

c)

5c

d)

2

25.

How many terms does this expression have? $5a^2+3b\ -7$

a)

1

b)

2

c)

3

d)

4

26.

What are the like terms in this expression? $5b\ -\ 6t\ +\ 4b\ -\ 7$

a)

5b and 4b

b)

-6t and 4b

c)

5b and -7

d)

-6t and 4b

27.

In 8r + 3 , the CONSTANT is ___

a)

8

b)

r

c)

+

d)

3

28.

How many terms does this expression have?
3x + 5y - 17 - 2y + x

a)

3

b)

-17

c)

5

d)

1

29.

Click on the name of the red part of the algebraic expression:

4²+ 2x -7

a)

coefficient

b)

variable

c)

base

d)

power

30.

Click on the name of the red part of the algebraic expression:

4²+ 2x -7

a)

variable

b)

constant

c)

base

d)

coefficient

31.

A coefficient is found __________________

a)

at the end of the expression

b)

in front of a variable

c)

behind a variable

d)

as the answer to the math problem.

32.

How do you know how many terms there are?

a)

Count the + and - and that is how many terms there are

b)

The terms are seperated by the + and -

c)

There are no terms in an expression

d)

Terms are on each side of the plus and minus.

33.

A variable is

a)

a number all by itself

b)

a letter

c)

a number and letter

d)

an operation sign

34.

A constant is

a)

found at the front of the expression

b)

the number next to the variable

c)

the same as a variable

d)

a number without a variable

35.

In 34x + 9 the variable is

a)

34

b)

x

c)

+

d)

9

36.

What is the constant in 9x + 2y +x +8

a)

9 and 2

b)

8

c)

9x and x

d)

2y

37.

The coeffiecient in 7x - 8 is

a)

7x

b)

7

c)

8

d)

-

38.

What property is this?
(2 + 3) + 5 = 2 + (3 + 5)

a)

Distributive

b)

Associative of +

c)

Property of Zero

d)

None of the Above

39.

What Property is this?
65 x 1 = 65

a)

65

b)

Multiplicaton

c)

Inverse

d)

Multi. Identity

40.

In Zero Property of Multiplication the answer will always be_______?

a)

12

b)

0

c)

5

d)

1

41.

What property is this?
(2 x 3) x 4 = 2 x (3 x 4)

a)

Associative of +

b)

Associative of x

c)

Zero Property

d)

None of the Above

42.

Which one represents Commutative of Addition?

a)

22 + 33 = 55

b)

5 + 7 = 7 + 5

c)

0 + 2 = 0 + 2

d)

0 = 0

43.

What is the answer to this equation if the property is Commutative of Multiplication?
2 x 3 = _____?

a)

2 x 3

b)

3 x 2

c)

6

d)

7

44.

(1 + 3) + 4 = 1 + ( 3 + 4)

a)

Commutative Property of Multiplication

b)

Commutative Property of Addition

c)

Associative Property of Multiplication

d)

Associative Property of Addition

45.

9 ^_x 2 = 2 ^_x 9

a)

Commutative Property of Multiplication

b)

Associative Property of Multiplication

c)

Multiplicative Inverse Property

d)

Distributive Property

46.

5(8 + 7) = (5 ^_x 8) + (5 ^_x 7)

a)

Multiplicative Inverse

b)

Distributive Property

c)

Additive Identity

d)

Associative Property of Multiplication

47.

"Change Order"

a)

Commutative Prop.

b)

Associative Prop.

c)

Distributive Prop.

d)

Inverse Prop.

48.

This property tells us that when we change the order of numbers when we are adding, the answer does not change.

a)

Commutative Addition

b)

Commutative Multiplication

c)

Associative Addition

d)

Associative Multiplication

49.

This property tells us that you can move the parentheses when you are multiplying and the answer will not change.

a)

Associative Addition

b)

Associative Multiplication

c)

Commutative Addition

d)

Commutative Multiplication

50.

Name the property.
7 + (11 + 10) = (7 + 11) + 10

a)

Associative Property

b)

Commutative Property

c)

Distributive Property

d)

Identity Property

51.

How can 5 (3 + 9) be expressed using the distributive property?

a)

5(3) + (5 + 9)

b)

5(3) + 5(9)

c)

5 + 9 = 9 + 5

d)

(5 + 3) x (5 + 9)

52.

2(4 + 9w)

a)

8+9w

b)

2+9

c)

8+18w

d)

2+9w

53.

Which expression is equivalent to 3x + 5 + 7x + 2?

a)

10x + 7

b)

17x

c)

17

d)

15x + 2

54.

Which expression is equivalent to 4(x + 6)?

a)

4x + 6

b)

4x + 24

c)

x + 24

d)

10x + 24

55.

Which expression is equivalent to 6y + 22y + y?

a)

28y + 1

b)

29y

c)

22y + 7

d)

29

56.

Which expression is equivalent to 7(3a + 4b)?

a)

21a + 28b

b)

10a + 11b

c)

21a + 4b

d)

10a + 28b

57.

Which expression is equivalent to 6(3y - 2y + 7)?

a)

18y + 7

b)

21y - 14y + 7

c)

18y + 42

d)

6y + 42

58.

Which expression is equivalent to 12(5 - 4x)?

a)

12x

b)

17 - 16x

c)

60 - 48x

d)

60 - 4x

59.

Which answer choice is equivalent to:

3(2x+8)

Select all that apply.

a)

3x+20+2x+4+x

b)

6x+24

c)

6x+8

d)

5x+11

e)

6(x+4)

60.

Which answer choice is equivalent to:

12x-16

Select all that apply.

a)

3(4x+5)

b)

3(4x-6)

c)

4(4x-3)

d)

4(3x-4)

e)

8x-(4⋅4)+4x

61.

Which answer choice is equivalent to:

18x-9

Select all that apply

a)

18(x - ½)

b)

9(2x+1)

c)

9(2x-1)

d)

6(3x + ⅔)

e)

3(3x-3)

62.

Which answer choice is equivalent to:

4(2x-5)+6x

Select all that apply.

a)

2(7x-10)

b)

14x-20

c)

20-14x

d)

14x-5

e)

8x-20+6x

63.

Which answer choice is equivalent to:

5x+3(x-6)

Select all that apply.

a)

8x-18

b)

5x+3x-18

c)

18+8x

d)

½(16x-36)

e)

18-8x

64.

Which answer choice is equivalent to:

2x+4x+6(x-3)+4

Select all that apply.

a)

12x-14

b)

14x-13

c)

2(6x-7)

d)

½(24x-28)

e)

14-13x

65.

Find an equivalent expression for the given expression: 36x + 24

a)

4(9x + 7)

b)

4(9x + 8)

c)

2(18x + 12)

d)

12(3x + 3)

66.

Use the distributive property to find an equivalent expression: 5(2f + 4)

a)

10f + 4

b)

10f + 9

c)

10f + 20

d)

30f

67.

Find an equivalent expression for the given expression: 36x + 24

a)

4(9x + 7)

b)

4(9x + 8)

c)

2(18x + 12)

d)

12(3x + 3)

68.

Choose the equivalent expression for the given expression: 2(r + y)

a)

3ry

b)

2r + y

c)

2r + 2y

d)

3r + 3y

69.

In the given expression, the 4 and the 8 are the ________________ in the expression.
4r + 8u

a)

variables

b)

terms

c)

coefficients

d)

exponents

70.

In the given expression, the v and the r are called the __________________.
15v - 13r

a)

terms

b)

exponents

c)

coefficients

d)

variables

71.

An algebraic expression is an expression that _______________________.

a)

contains only numbers

b)

contains numbers, variables, and operations

c)

contains only numbers and operations

d)

contains only variables

72.

Which expression represents twice the quantity of 11 less than k.

a)

11 -k

b)

k - 11

c)

2k - 11

d)

2(k-11)

73.

Evaluate the given expression when a = 4 and b = 5.
2a + 6b

a)

38

b)

34

c)

19

d)

89

74.

Evaluate the given expression when a = 4 and b = 5.
2a + 6b

a)

38

b)

34

c)

19

d)

89

75.

Evaluate 8a - b if a = 10 and b = 6

a)

74

b)

38

c)

1000

d)

9000

76.

Evaluate 2r + 1 if r = 3

a)

6

b)

5

c)

7

d)

8

77.

Evaluate m² + 12q if m = 5 and q = -3

a)

10

b)

-25

c)

-11

d)

13

78.

Evaluate 4y if y = 3

a)

7

b)

12

79.

3x + 8 if x = 2

a)

13

b)

14

c)

15

d)

16

80.

Evaluate 7y - 3y for y=2

a)

40

b)

73

c)

8

d)

4

81.

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

a)

22

b)

27

c)

14

d)

7

82.

Write an algebraic expression for "12 more than number".

a)

x + 12

b)

12x

c)

x - 12

83.

b² + 4
when b = 3

a)

10

b)

12

c)

13

d)

11

84.

What is the first thing you do when evaluating an expression

a)

Substitute value in for the variable

b)

Combine like terms

c)

Parenthesis

85.

r(r – 9)
r = 11

a)

12

b)

22

c)

44

d)

99

86.

m² – 15
m = 8

a)

12

b)

32

c)

49

d)

32

87.

(s – 5)²
s = 13

a)

34

b)

64

c)

144

d)

16

Chapter 5 Review (5.1 - 5.4)

Total questions: 87

Worksheet time: 6hrs 28mins

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