Free Printable Big Ideas Math Ch. 5 Test

1.

Which property is represented?
3 + (15 + 4) = (3 + 15) + 4

a)

Commutative Property

b)

Associative Property

c)

Distributive Property

2.

Which property is represented?
44 + 99 = 99 + 44

a)

Commutative Property

b)

Associative Property

c)

Distributive Property

3.

Are the expressions equivalent and what property is used?

6 x 5 = 5 x 6

a)

Yes, Associative Proeprty

b)

Yes, Commutative Property

c)

Yes, Identity Property

d)

Not equivalent

4.

Are the expressions equivalent and what property is used?

(5 x 10) x 2 and 5 x (10 x 2)

a)

Yes, Commutative Property

b)

Not equal

c)

Yes, Associative Property

d)

Yes, Identity Property of Multiplication

5.

Which number sentence is an example of the associative property?

a)

19+6=5x5

b)

3x9=9+3

c)

3x(2x6)=(3x2)x6

d)

4x0-4+0

6.

Identity Property of Multiplication

a)

5 x 0 = 0

b)

8 x 3 = 3 x 8

c)

12 x 1 = 12

d)

8 + 0 = 8

7.

Which property does this represent: 9 x 1 = 9

a)

Identity

b)

Commutative

c)

Associative

d)

Distributive

8.

Which property is shown by the equation
2 + (3 x 11) = 2 + (11 x 3)
***BE CAREFUL!***

a)

Commutative Property of Addition

b)

Commutative Property of Multiplication

c)

Associative Property of Addition

d)

Associative Property of Multiplication

9.

Which property is illustrated here?
6 x 1 = 6

a)

Identity property of addition

b)

Identity property of multiplication

c)

Commutative property of addition

d)

Commutative property of multiplication

10.

Which of the following properties describes the mathematical expression?
6 + 7 + 2 = 2 + 6 + 7

a)

Associative

b)

Distributive

c)

Commutative

d)

Identity

11.

Which of the following properties describes the mathematical expression?
(a + 31) + b = a + (31 + b )

a)

Associative

b)

Distributive

c)

Commutative

d)

Identity

12.

What is the distributive property?

a)

For any numbers a, b, c,

a(b + c) = ab + ac

b)

For any numbers a, b, and c,

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

c)

For any numbers a, b, c,

abc = a + b + c

d)

For any number a, b, and c,

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

13.

How can 4(3 +9) be expressed using the distributive property?

a)

4(3) + 4(4 + 9)

b)

4(3) + 4(9)

c)

4 + 9 = 9 + 4

d)

(4 + 3) x (4 + 9)

14.

How can 5(3 +2) be expressed using the distributive property?

a)

5(3) x 5(2)

b)

(5 x 3) x (5 x 2)

c)

5(3) + 5(2)

d)

(5 + 3) x (5+2)

15.

5(3 + 2)= ?

a)

20

b)

25

c)

30

d)

35

16.

7(5 + 4) =

a)

(7 x 5) + (7 x 4)

b)

35 + 28

c)

63

d)

All of the above

17.

Use the distributive property to solve: (4x3)+(4x5)

a)

12+20 = 32

b)

20+25 = 45

c)

20+20 = 32

18.

Use the distributive property to solve: (5x2)+(5x5)

a)

10+10 = 20

b)

15+15 = 30

c)

10+25 = 35

19.

3(3x +1)

a)

9x +3

b)

3x + 3

c)

12x

d)

9x + 1

20.

7(u+4)

a)

7u+28

b)

7u-4

c)

7u+4

d)

35u

21.

2(3v - 8)

a)

6v-16

b)

6v-8

c)

6v-6

d)

6v+8

22.

2(c - 8)

23.

3(2c - 5)

24.

Drag the terms to correctly complete the simplified version of this expression? $-4(8r+3)$

(a) (b) (c)

Choose from the below words

$-32r$

$-$

$12$

7

32r

+

12r

4r

1

-12r

25.

What is the simplified version of this expression? $-10\left(-4x+1\right)$

26.

What is the simplified version of this expression? $5(a+6)$

27.

Simplify this expression.

28.

-6(2a - 6)

29.

Simplify the expression
11(9 + b)

30.

Simplify the expression:
8(5 + z)

31.

Challenge:

Simplify the expression:
3(2t + 3t + 2)

32.

Use the GCF and the distributive property to express the sum as a product for: 32 + 18.

a)

8(4 + 2)

b)

2(12 + 9)

c)

4(8 + 4)

d)

2(16 + 9)

33.

Use the GCF and the distributive property to write an equivalent expression to 20 + 100.

a)

5(4 + 20)

b)

20(1 + 5)

c)

2(10 + 50)

d)

4(5 + 25)

34.

Use the GCF and the distributive property to express the sum as a product for: 70 + 84?

a)

7(10 + 84)

b)

14(5 + 6)

c)

14(5 • 6)

35.

Use the GCF and the distributive property to express the sum as a product for: 90+45

a)

45(2+1)

b)

2(1+90)

c)

45(2+45)

d)

45(90+1)

36.

Use the GCF and the distributive property to express the sum as a product for: 18+28

a)

18+(2*14)

b)

2+9+14

c)

14(2+9)

d)

2(9+14)

37.

Using the GCF and the distributive property, write an equivalent expression to 32 + 18.

a)

8(4 + 2)

b)

2(12 + 9)

c)

4(8 + 4)

d)

2(16 + 9)

38.

Use the GCF and the distributive property to express the sum as a product for: 32+48

a)

16(2+3)

b)

18(2+3)

c)

16(6+8)

d)

18(4+2)

39.

Which expression is equivalent to 36 + 42 ?
Using the Greatest Common Factor (GCF)?

a)

2(18 + 21)

b)

3(12 + 14)

c)

6(6 + 42)

d)

6(6 + 7)

40.

Find the missing number using the distributive property.
10 + 20 = 2(5 + __)

a)

2

b)

4

c)

5

d)

10

41.

Which expression is equivalent to 36 + 42 ?
Using the Greatest Common Factor (GCF)?

a)

2(18 + 21)

b)

3(12 + 14)

c)

6(6 + 42)

d)

6(6 + 7)

42.

Rewrite using distributive property and GCF.
24 + 30

a)

6(4+5)

b)

8(3+4)

c)

6(4) + 6(2)

d)

6x2+5

43.

Which expression uses the greatest common factor and distributive property to express
54 + 90?

a)

9 ( 6 + 10 )

b)

9 ( 6 + 90 )

c)

30 ( 24 + 60 )

d)

18 ( 3 + 5 )

44.

Use the distributive property of operations and GCF to choose the correct equivalent expressions for the given expression.16 + 24

a)

8(4+6)

b)

4(4+8)

c)

4(4+6)

d)

8(2+3)

45.

Use the GCF and the distributive property to express the sum as a product for: 27+15

a)

9(3+15)

b)

3(9+15)

c)

9(3+15)

d)

3(9+5)

46.

Which expression is equivalent to 36 + 42 ?
Using the Greatest Common Factor (GCF)?

a)

2(18 + 21)

b)

3(12 + 14)

c)

6(6 + 42)

d)

6(6 + 7)

47.

GCF of 10 and 50

a)

10

b)

2

c)

5

d)

50

48.

GCF of 16 and 40

a)

4

b)

8

c)

2

d)

10

49.

GCF of 35 and 49

a)

5

b)

3

c)

7

d)

4

50.

Maya had 16 red flowers and 24 yellow flowers. She wants to make bouquets with the same number of each color flower in each bouquet. What is the greatest number of bouquets that she can make?

a)

4

b)

2

c)

48

d)

8

51.

Miss Friedman is planning a surprise birthday party for Miss Pabon. Miss Friedman is trying to make party favors for all her guests and wants no left overs. She has 18 party hats and 24 noise makers. How many party favors can she make?

a)

6 party favors with 18 hats and 24 noise makers

b)

6 party favors with 3 hats and 4 noise makers

c)

6 party favors with 2 hats and 2 noise makers

d)

24 party favors with 18 hats and 18 noise makers

52.

Factor 12x - 20

a)

6(2x - 3)

b)

4(3x - 5)

c)

4x(3x - 5)

d)

3(4x + 6)

53.

Factor in simplest form: 6x + 12

a)

3(2x + 4)

b)

6(x+2)

c)

6x(x+2)

d)

1/2 (3x + 24)

54.

Factor completely:

6x-3

a)

$3\left(2x-1\right)$

b)

$3\left(2x+1\right)$

c)

$6\left(-2+x\right)$

d)

$3\left(1+2x\right)$

55.

Factor completely: 16 + 24x

a)

8 ( 2 + 3x)

b)

4 ( 4 + 7x)

c)

8 ( 2 - 3x)

d)

6 ( 4x + 3)

56.

True or False?
2x + 6 = 2(x + 3)

a)

True

b)

False

57.

5x - 25

a)

5x - 25

b)

5(x + 5)

c)

5( x - 5)

d)

20x

58.

Factor:
2x + 18

a)

2(x + 9)

b)

2(x + 8)

c)

2(2x + 9)

d)

cannot be factored

59.

Factor

6p − 36

a)

6(p − 6)

b)

2(3p − 36)

c)

3(2p − 6)

d)

can't be factored

60.

Factor the following expression:

21x-36

a)

3(7x-12)

b)

-3(7x+12)

c)

-15x

d)

21(x-15)

61.

Factor:
4x + 30y

a)

2(x + 15y)

b)

4(x + 15y)

c)

2(2x + 15y)

d)

can't be factored

62.

Factor:

2x - 8

a)

-2(x+4)

b)

10x

c)

2(x-4)

d)

4x

63.

Factor:

6x + 12

a)

3(2x + 4)

b)

6(x+2)

c)

6x(x+2)

d)

1/2 (3x + 24)

64.

Factor:

12x - 20

a)

6(2x - 3)

b)

4(3x - 5)

c)

4x(3x - 5)

d)

3(4x + 6)

65.

Factor:

16 + 24x

a)

8(2 + 3x)

b)

4(4 + 7x)

c)

8(2 - 3x)

d)

6(4x + 3)

66.

Factor:

12x + 9

a)

3(4x + 3)

b)

x(12+9)

c)

3(4x - 3)

d)

Can not be factored.

67.

Factor:

7x + 47

a)

7(x + 7)

b)

7(x + 47)

c)

Can not be factored.

d)

7(x - 47)

68.

Factor:

10 + 15p

a)

5(3+p)

b)

5(2+3n)

c)

5(2+3p)

69.

Factor:

4x + 30

a)

2(2x + 30)

b)

4(x + 15)

c)

2(2x + 15)

d)

can't be factored

70.

Factor:
2x + 18

a)

2(x + 9)

b)

2(x + 8)

c)

2(2x + 9)

d)

cannot be factored

71.

Factor:

6p − 36

a)

6(p − 6)

b)

2(3p − 36)

c)

3(2p − 6)

d)

Can not be factored.

72.

Factor:

21x - 36

a)

3(7x - 12)

b)

-3(7x + 12)

c)

-15x

d)

21(x - 15)

73.

Factor:

9x + 12

a)

3(3x +4)

b)

9(x+3)

c)

-3(3x+4)

d)

21x

74.

Factor:

9x - 81

a)

9(x + 9)

b)

9(9x - 9)

c)

9(x - 9)

d)

9(9x + 9)

75.

Factor:

7x - 63

a)

7(x + 9)

b)

Can not be factored.

c)

7(x - 8)

d)

7(x - 9)

76.

Factor:

21x - 36

a)

3(7x - 12)

b)

-3(7x + 12)

c)

-15x

d)

21(x - 15)

77.

True or False?
2x + 6 = 2(x + 3)

a)

True

b)

False

78.

Factor:
4x + 30y

a)

2(x + 15y)

b)

4(x + 15y)

c)

2(2x + 15y)

d)

can't be factored

79.

Factor:

12x + 8y - 4z

a)

4( x + y + z)

b)

4 ( 3x - 2y + z)

c)

2 ( 6x + 4y -2z)

d)

4 ( 3x + 2y - z)

80.

Factor:

6m + 2n - 14

a)

2(3m + n + 7)

b)

2(3m + n - 7)

c)

2m(1 + n - 7)

d)

2m(1 + n + 7)

81.

Factor:

15x + 50xy

a)

-5(3 + 10y)

b)

5x(3 - 10y)

c)

5x(3 + 10y)

d)

5xy(3 + 10)

82.

What are the coefficients in an expression?

a)

The numbers multiplied by the variables

b)

The operations in the expression

c)

The constants in the expression

d)

The exponents in the expression

83.

What are the coefficients in the expression 8x - 3 + 12xy?

a)

-3, 8, 12

b)

x, y

c)

8, 12

d)

There are no coefficients in this expression

84.

Identify the coefficients in this expression. 4 + 3x + 5x

a)

3x, 5x

b)

4, 3x, 5x

c)

3, 5

d)

x

85.

A number on its own that does not change and is without a variable is known as a _______________.

a)

Term

b)

Variable

c)

Coefficient

d)

Constant

86.

Identify the constants in the expression:

7-5x+1

a)

7

b)

1

c)

7 & 1

d)

5

87.

What is the constant term of:
14 - 8x - 7y

a)

-8

b)

-7

c)

14

d)

none

88.

things that are being added or subtracted in an expression

a)

term

b)

variable

c)

factor

d)

coefficient

89.

Which expression contains exactly 3 terms?

a)

5 + 6xy

b)

9 + 4t

c)

8 + 2y - 5x

d)

24xy

90.

Like terms have the same variables and the same exponents.

a)

true

b)

false

91.

Combine like terms to simplify: a + 2a + 7

a)

9a

b)

3a + 7

c)

2a + 7

d)

9

92.

Combine like terms to simplify: 5 + b + 2

a)

7b

b)

7b + 7

c)

7 + b

d)

8b

93.

Combine like terms to simplify: 6m + m - 4m

a)

10m

b)

3m

c)

2m

d)

11m

94.

Combine like terms to simplify: 8x - 8d

a)

8

b)

xd

c)

0

d)

They are unlike terms, so cannot be simplified.

95.

4 is the __________ of 4n.

a)

equation

b)

variable

c)

coefficient

d)

solution

96.

10 is the ______ in the expression 10 + 2y

a)

constant

b)

coefficient

c)

variable

d)

like term

97.

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

a)

3

b)

2y

c)

7

d)

2

98.

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

a)

5

b)

2

c)

4

d)

3

99.

Identify the variables in the expression
3x + 9

a)

x

b)

y

c)

9

d)

3x

100.

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

a)

2

b)

4

c)

m

d)

n

101.

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

a)

3

b)

4

c)

5

d)

6

102.

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

a)

x

b)

y

c)

4y

d)

2

103.

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

a)

m

b)

3n

c)

p

d)

3

104.

How is the number 9 best described in the expression
9m + 3n + 4

a)

coefficient

b)

variable

c)

constant

d)

term

105.

A letter that represents a number is called a _____.

a)

variable

b)

coefficient

c)

constant

d)

term

106.

A number with no variable attached is called a _____.

a)

coefficient

b)

constant

c)

variable

d)

term

Big Ideas Math Ch. 5 Test

Total questions: 106

Worksheet time: 4hrs 32mins

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