Free Printable Chapter 5 Review

1.

This is a symbol, usually a letter, that stands for a number.

a)

Variable

b)

Expression

c)

Equation

d)

Coefficient

2.

This consists of one or more numbers, variables and operations.

a)

Numerical Expression

b)

Algebraic Expression

c)

Variable

d)

Equation

3.

This is a number and/or variable separated by + and or – signs.

a)

Variable

b)

Equation

c)

Term

d)

Expression

4.

The number before the variable. This number is multiplied by the variable.

a)

Variable

b)

Term

c)

Coefficient

d)

Exponent

5.

What is an expression?

a)

A math sentence without an equal sign

b)

A math sentence with an equal sign

c)

A math word

d)

A math sentence with an inequality

6.

What are the terms in the expression?
4x + 6y - 2

a)

4x, 6y, -2

b)

x, y

c)

4x, 6y

d)

-2

7.

What are the coefficients in the expression?
4x + 6y - 2

a)

4x, 6y, -2

b)

x, y

c)

4x, 6y

d)

4, 6

8.

What are the constants in the expression?
4x + 6y + 2

a)

4x, 6y, -2

b)

x, y

c)

4x, 6y

d)

2

9.

Which answer choice is NOT an example of a constant?

a)

4n

b)

15

c)

1

d)

0

10.

What is 4x if x=5?

a)

20

b)

16

c)

9

d)

45

11.

Evaluate 5y + 2 if y = 3

a)

17

b)

19

c)

55

d)

13

12.

6a - 3d
when a = 1, d = 2

a)

3

b)

12

c)

1

d)

0

13.

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

a)

22

b)

27

c)

14

d)

7

14.

2x + 3 + x²; for x = 4

a)

17

b)

27

c)

19

d)

25

15.

Evaluate if a = 2 and b = 8
6 + 7b - 3a

a)

10

b)

100

c)

50

d)

56

16.

Evaluate 7y - 3y for y=2

a)

40

b)

73

c)

8

d)

4

17.

Evaluate the following expression when x = 4:

x²+ 2x + 3

a)

17

b)

27

c)

19

d)

25

18.

Evaluate if if w = 6

a)

14

b)

13

c)

10

d)

26

19.

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

4²+ 2x -7

a)

variable

b)

constant

c)

base

d)

coefficient

20.

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

4²+ 2x -7

a)

constant

b)

variable

c)

coefficient

d)

term

21.

How many terms are in this expression?

4²+ 2x -7

a)

1

b)

2

c)

3

d)

4

22.

Identify the coefficient of the algebraic expression:

3x + 5

a)

3

b)

x

c)

5

d)

3x and 5

23.

Identify the constant of the algebraic expression:

3x + 5

a)

3

b)

x

c)

5

d)

3x and 5

24.

Identify the terms of the algebraic expression:

3x + 5

a)

3

b)

x

c)

5

d)

3x and 5

25.

Identify the coefficient of the algebraic expression:

m - 6

a)

1

b)

m

c)

6

d)

-6

26.

How many terms in the following expression:

5x + 3y - 15 + x

a)

6

b)

2

c)

3

d)

4

27.

The sum of seven and x

a)

7-x

b)

x-7

c)

7x

d)

7+x

28.

Twenty decreased by x

a)

20+x

b)

20/x

c)

x-20

d)

20-x

29.

Write an algebraic expression for the word phrase.
six times the daily amount of fiber (f) in your diet

a)

6f

b)

6+f

c)

6/f

d)

6-f

30.

Combine like terms. Simplify.
11g-9g+8g

a)

10g

b)

9g

c)

2g

d)

11g

31.

8(x+3x)

a)

24x+8x

b)

30x

c)

32x

d)

32

32.

Factor 8x-10

a)

2(4x-5)

b)

6(2x-4)

c)

2(4x+5)

d)

8(x+5)

33.

Rewrite using distributive property and GCF.
16 + 24

a)

2(8+12)

b)

3(5+8)

c)

4(4+6)

d)

8(2+3)

34.

Choose the algebraic expression that matches the verbal phrase. Choose all that apply.

a)

b)

c)

d)

35.

Choose the verbal phrase that matches the algebraic expression.

a)

the product of a number and 37

b)

the sum of 37 and a number

c)

8 more than 37 times a number

d)

37 more than 8 times a number

36.

3 times a number, b

a)

3b

b)

b/3

c)

b+3

37.

4 more than x

a)

4 - x

b)

4 + x

c)

x - 4

38.

Write an equivalent expression:
7g + 4 + 4g -2

a)

3g + 6

b)

7g + 3

c)

11g + 2

39.

Write an equivalent expression:
5m + 9m + 8y

a)

14m + 8y

b)

m + 8y

c)

4m + 8y

d)

5m + y

40.

The difference of a number and 7

a)

7 − x

b)

x + 7

c)

x/7

d)

x − 7

41.

Translate to an algebraic expression.

35 decreased by a number

a)

35 + n

b)

35 - n

c)

n - 35

d)

n + 35

42.

Translate to an algebraic expression.

5 times a number decreased by 17

a)

17 - 5n

b)

5n - 17

c)

5n + 17

d)

17 + 5n

43.

4 less than x

a)

4 - x

b)

x - 4

c)

4x

d)

-4x

44.

Three times the sum of 2 and e.

a)

3e+2

b)

3(e-2)

c)

3(e+2)

d)

2e+3

45.

the quotient of a number and twelve

a)

x + 12

b)

x - 12

c)

12/x

d)

x/12

46.

Translate this phrase into an algebraic expression.

8 less than the product of 4 and a number

Use the variable m to represent the unknown number.

a)

8 − 4m

b)

8m − 4

c)

8m + 4

d)

4m − 8

47.

What property allows for two or more numbers to be added in any order without changing the sum?

a)

Associative Property of Addition

b)

Commutative Property of Multiplication

c)

Commutative Property of Addition

d)

Distributive Property

48.

What property allows for two or more numbers to be multiplied in any order without changing the product?

a)

Associative Property of Multiplication

b)

Commutative Property of Multiplication

c)

Distributive Property

d)

Multiplicative Identity Property

49.

What property states that the sum of three or more numbers is always the same, regardless of how they are grouped together with parentheses?

a)

Associative Property of Addition

b)

Associative Property of Multiplication

c)

Commutative Property of Addition

d)

Additive Identity

50.

What property states that the product of three or more numbers is always the same, regardless of how they are grouped together with parentheses?

a)

Associative Property of Multiplication

b)

Associative Property of Addition

c)

Commutative Property of Multiplication

d)

Multiplicative Identity

51.

What property includes both addition and multiplication and allows you to rewrite an expression from a product of two numbers to the sum of two separate products?

Example: 3(4x+5) = 12x+15

a)

Associative Property of Multiplication

b)

Commutative Property of Addition

c)

Additive Inverse Property

d)

Distributive Property

52.

Which property is shown below?

(x + 14) + 4 = x + (18 + 4)

a)

Communitive Property

b)

Identify Property

c)

Associative Property of Addition

d)

Property of Zero

53.

Which property is shown below?

(2.3 + b) + 0 = 2.3 + ( b + 0)

a)

Associative Property of Addition

b)

Property of Zero

c)

Identify Property

d)

Communitive Property

54.

What property is shown below?

4 ( n + 5 ) = 4 (n) + 4 (n)

= 4n + 20

a)

Associative Property

b)

Distributive Property

c)

Communitive Property

d)

Minion Property

55.

Tell which property the statement illustrates

$3+s=s+3$

a)

Associative Property of Addition

b)

Commutative Property of Addition

c)

Distributive Property

d)

Addition Property of Zero

56.

Identify the property shown.

a)

Commutative Property of Multiplication

b)

Commutative Property of Addition

c)

Associative Property of Multiplication

d)

Multiplication Property of 5

57.

Identify the property shown.

a)

Commutative Property of Addition

b)

Associative Property of Addition

c)

Distributive Property

d)

Addition Property of 0

58.

Which one of the following illustrates the Associative Property of addition?

a)

3 + ( 2 + 4) = (4 + 4) + 1

b)

3 + (2 + 4) = (3 + 2) + 4

c)

3 + (2 + 4) = (5 + 2) + 2

d)

3 + (2 + 4) = (2 + 6) + 1

59.

Commutative Property of Multiplication

a)

8 + 2 = 2 + 8

b)

7 x 1 = 7

c)

7 + 0 = 7

d)

7 x 6 = 6 x 7

60.

Expand the expression: 2(3x - 5)

a)

6x - 5

b)

6x - 10

c)

6x + 10

d)

6x + 5

61.

Simplify:
$3\left(4y-5\right)-2y$

a)

$3y-5$

b)

$10y-10$

c)

$12y-15$

d)

$10y-15$

62.

Simplify the expression:

5(2x + 6)

a)

10x + 30

b)

10x + 6

c)

40x

d)

2x + 30

63.

8a + 22

a)

2(4a + 11)

b)

2(4a + 22)

c)

2a(4 + 11)

d)

2a(4 + 22)

64.

12(3 + 4x) =

a)

36 + 48x

b)

15 + 16x

c)

123 + 124x

65.

Simplify the expression: 2x + 1 + 7x

a)

10x

b)

10

c)

9x + 1

d)

9 + 1x

66.

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

a)

23

b)

23v

c)

9 + 14v

d)

9v + 14

67.

7k - 6k=

a)

k

b)

42k

c)

12k

d)

13k

68.

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

a)

8a + 2b + 4

b)

2a + 2b + 4

c)

8ab

d)

4ab + 4

69.

Simplify the expression:
3t + 7y + t + 3y

a)

3t + 10y

b)

4t + 10y

c)

4t + 4y

70.

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

a)

9x + 7y + 13

b)

6x + 2y + 2

c)

25x + 2y + 3

d)

x + 7y + 12

71.

8y + 5 - 2y

a)

6y + 5

b)

11y

c)

10y + 5

d)

15y

72.

2x+8x+4x

a)

10x+4

b)

14x

73.

3 - 2a + 3a + 5a

a)

5a+3

b)

5a-3

c)

6a + 3

d)

8a+3

74.

Simplify the expression:
6 + 2(7x - 3)

a)

12 + 7x

b)

14x

c)

14x + 3

d)

9 + 7x

75.

Simplify the expression: 2x + 1 + 7x

a)

10x

b)

10

c)

9x + 1

d)

9 + 1x

76.

n +10 +9n -3=

a)

-3

b)

9n-3

c)

n

d)

10n + 7

77.

a + a + a + a

a)

a + 4

b)

4a

c)

a to the fourth power

d)

4a + 4

78.

y + x + y + y + x

a)

2 + 3

b)

x + y

c)

2x + 3y

d)

5xy

79.

9(2x + 2y)

a)

36xy

b)

18x + 18y

c)

18x + 2y

d)

11x + 11y

80.

Simplify the Expression: 5(x + 2) + 2x

a)

7x + 2

b)

7x + 10

c)

5x + 4

d)

15x + 10

e)

25x

81.

10 + 2(3x - 1)

a)

6x + 12

b)

6x + 8

c)

6x + 9

d)

6x - 8

e)

36x - 12

82.

½ ( 6w + 12)

a)

3w + 6

b)

2w + 6

c)

3w + 8

d)

2w + 4

83.

8h +7(2 + 4h)

HINT! Combine like terms after using the distributive property.

a)

90h

b)

12h + 14

c)

50h

d)

36h +14

84.

Combine like terms to find the perimeter of the triangle. Write your final answer in simplest form.

a)

$12x$

b)

$7$

c)

$5x+1$

d)

$5x+7$

85.

Combine like terms to find the perimeter of the triangle. Write your final answer in simplest form.

a)

$15xy$

b)

$9x+6y$

c)

$xy+15$

d)

$9x$

Chapter 5 Review - 6th Grade Math

Total questions: 85

Worksheet time: 4hrs 15mins

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