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1.

What does the Distributive Property mean?

a)

states that for any numbers a, b, and c, the equation a(b + c) = ab + ac is true.

b)

states that for any numbers a, b, and c, the equation a(b + c) = ab x ac is true.

c)

states that for any numbers a, b, and c, the equation a(b + c) = a + b + a + c is true.

d)

states that for any numbers a, b, and c, the equation a(b + c) = a - b + ac is true.

2.

Rewrite using the Distributive Property: 6(3 + 6)

a)

(6x3) + 6

b)

63

c)

(6x3) + (6x6)

d)

18 + 36

3.

Fill in the missing addend in each box that makes the equation true.

3(_ + 8)= 15 + 24

(a)

4.

Rewrite using the Distributive Property: 14(10 + 7)

a)

(14+10) x (14+7)

b)

(14x10) + (14x7)

c)

(14x10) + 7

d)

140 + 98

5.

Rewrite using the Distributive Property: 5(20 x 10)

a)

(5x20) + (5+10)

b)

(100) + (50)

c)

100 + (5x10)

d)

(5x20) + (5x10)

6.

Fill in the missing addend in each box that makes the equation true.

9(5+ (a) )= 45 + 18

7.

Rewrite using the Distributive Property: 11(4+16)

(a)

8.

Which of the following expressions represents the total area of the rectangle?

a)

5(2 + 3)

b)

3(2 + 5)

c)

2(3 + 5)

d)

2(3) + 3(5)

9.

Which of the following expressions represents the total area of the rectangle?

a)

10 + 6

b)

5(3 + 2)

c)

2(5 + 3)

d)

3(5 + 2)

10.

Represent using the Distributive Property:
2 x 43

a)

(2 x 40) + (2 x 3)

b)

(2 x 90) + (2 x 4)

c)

(8 x 20) + (8 x 4)

d)

(8 x 40) + (8 x 9)

11.

Represent using the Distributive Property:
8 x 24

a)

(2 x 40) + (2 x 3)

b)

(2 x 90) + (2 x 4)

c)

(8 x 20) + (8 x 4)

d)

(8 x 40) + (8 x 9)

12.

Find the missing factor:

6 x 18= (6 x _?_) + (6 x 10)

a)

3

b)

8

c)

11

d)

14

13.

Find the missing factor:

17 x 8= (7 x 8) + (_?_ x 8)

a)

3

b)

8

c)

10

d)

14

14.

Rewrite using the Distributive Property: 15(9 + 2)

a)

(15x9) + (15x2)

b)

(15+9) x (15+2)

c)

(15x9) x (15x2)

d)

(15x9) + (15+2)

15.

Rewrite using the Distributive Property: 12(3 + 15)

a)

(12+3) + (12x15)

b)

(12x3) x (12x15)

c)

(12x3) + (12x15)

d)

36 + 180

16.

9(j+3)

a)

93j

b)

12j

c)

9j + 27

d)

27j

17.

12(w + 1)

a)

12w + 12

b)

-12w + 12

c)

-12w + 12

d)

-12w - 1

18.

Simplify the expression by using the Distributive Property:

-4(k - 7)

a)

-4k + 28

b)

-4k - 28

c)

4k + 28

d)

4k - 28

19.

Simplify the expression by using the Distributive Property:

4(5b - 6f - c)

a)

20b - 24f - 4c

b)

9b - 10f - 4c

c)

45b - 46f - 4c

d)

20b + 24f + 4c

20.

What is the simplified version of this expression? $-4(8r+3)$

a)

$-32r-12$

b)

$32r-12$

c)

$-32r+12$

d)

$32r+12$

21.

$\frac{1}{2}(t+8)$

a)

$\frac{1t}{2t}+\frac{8}{2}$

b)

$\frac{1}{2}t+8$

c)

$\frac{1}{2}t+4$

d)

$\frac{1}{2}t+\frac{8}{16}$

22.

Which of the following is equivalent to 3h +7(2 + 4h)?

a)

90h

b)

7h + 20

c)

50h

d)

31h +14

23.

Which of the following is equivalent to -8 - 9(5 + 2x)?

a)

-5 - 2x

b)

-18x - 53

c)

-53 + 18x

d)

18x - 53

24.

Which of the following is equivalent to 8(5f - 7) + 3f ?

a)

43f - 7

b)

-13f

c)

43f - 56

d)

40f -7 + 3f

25.

A matches with which property?

Type the NUMBER only of the answer.

Answer choices:

1. Commutative Property

2. Associative Property

3. Identity Property

4. Inverse Property

5. Property of Zero

6. Distributive Property

7. Reflexive Property

8. Symmetric Property

9. Transitive Property

(a)

26.

B matches with which property?

Type the NUMBER only of the answer.

Answer choices:

1. Commutative Property

2. Associative Property

3. Identity Property

4. Inverse Property

5. Property of Zero

6. Distributive Property

7. Reflexive Property

8. Symmetric Property

9. Transitive Property

(a)

27.

C matches with which property?

Type the NUMBER only of the answer.

Answer choices:

1. Commutative Property

2. Associative Property

3. Identity Property

4. Inverse Property

5. Property of Zero

6. Distributive Property

7. Reflexive Property

8. Symmetric Property

9. Transitive Property

(a)

28.

D matches with which property?

Type the NUMBER only of the answer.

Answer choices:

1. Commutative Property

2. Associative Property

3. Identity Property

4. Inverse Property

5. Property of Zero

6. Distributive Property

7. Reflexive Property

8. Symmetric Property

9. Transitive Property

(a)

29.

E matches with which property?

Type the NUMBER only of the answer.

Answer choices:

1. Commutative Property

2. Associative Property

3. Identity Property

4. Inverse Property

5. Property of Zero

6. Distributive Property

7. Reflexive Property

8. Symmetric Property

9. Transitive Property

(a)

30.

F matches with which property?

Type the NUMBER only of the answer.

Answer choices:

1. Commutative Property

2. Associative Property

3. Identity Property

4. Inverse Property

5. Property of Zero

6. Distributive Property

7. Reflexive Property

8. Symmetric Property

9. Transitive Property

(a)

31.

G matches with which property?

Type the NUMBER only of the answer.

Answer choices:

1. Commutative Property

2. Associative Property

3. Identity Property

4. Inverse Property

5. Property of Zero

6. Distributive Property

7. Reflexive Property

8. Symmetric Property

9. Transitive Property

(a)

32.

H matches with which property?

Type the NUMBER only of the answer.

Answer choices:

1. Commutative Property

2. Associative Property

3. Identity Property

4. Inverse Property

5. Property of Zero

6. Distributive Property

7. Reflexive Property

8. Symmetric Property

9. Transitive Property

(a)

33.

I matches with which property?

Type the NUMBER only of the answer.

Answer choices:

1. Commutative Property

2. Associative Property

3. Identity Property

4. Inverse Property

5. Property of Zero

6. Distributive Property

7. Reflexive Property

8. Symmetric Property

9. Transitive Property

(a)

34.

Is the set of INTEGERS closed under DIVISION?

Why or why not? If not, give an example.

4 lines

35.

Is the set of REAL NUMBERS closed under ADDITION?

Why or why not? If not, give an example.

4 lines

36.

Identify the property
a + b = b + a

a)

Identity of addtion

b)

commutative of addition

c)

associative of addition

d)

symmetric

37.

Identify the property
(a ⋅ b) ⋅ c = (c ⋅ b) ⋅ a

a)

commutative of multiplication

b)

identity of multiplication

c)

inverse of multiplication

d)

associative of multiplication

38.

Identify the property
a + 0 = a

a)

identity of addition

b)

identity of multiplication

c)

inverse of addtion

d)

multiplication of zero

39.

Pick the answer that is an example of the inverse property of multiplication

a)

5 ⋅ 0 = 5

b)

5 ⋅ 1/5 = 1

c)

5 - 5 = 0

d)

5 ⋅ 1 = 5

40.

Pick the answer that is an example of the commutative property of multiplication

a)

b + c + a = a + b + c

b)

a(b + c) = ab + ac

c)

a ⋅ b = b⋅ a

d)

a ⋅ 1 = a

41.

Pick the answer that is an example of the identity property of addtion

a)

a + (-a) = 0

b)

1 + 1 = 2

c)

a + 0 = a

d)

a + b = b + a

42.

Simplify the expression
-3(2 - 6) - (4 + 5) - 1

a)

1

b)

-1

c)

-19

d)

-22

43.

Identify the property
a(b + c) = ab + ac

a)

Associative of addtion

b)

Distributive

c)

Commutative of addition

d)

Inverse

44.

Identify the property
a + (-a) = 0

a)

Inverse of addition

b)

Identity of addtion

c)

associative of addition

d)

symmetric

45.

Pick the answer that is an example of the symmetric property

a)

If 2 ⋅ 3 = 6, then 6 = 2 ⋅ 3

b)

a = a

c)

a + b = b + a

d)

(a ⋅ b) + c = (a ⋅ c) + b

46.

Identify the property.
(4y + 1) * 0 = 0

a)

Commutative Property of Addition

b)

Commutative Property of Multiplication

c)

Multiplicative Property of Zero

d)

Inverse Property of Multiplication

47.

Solve for w

a)

9

b)

11

c)

15

d)

10

48.

Solve for t:
2(2t - 3) = 6(t + 2)

a)

t=9

b)

t=4

c)

t=-9

d)

t=-3

49.

What is the missing number?

6 + ____ = 7 + 6

a)

4

b)

13

c)

7

d)

9

50.

3 x ____ = 9 x 3

a)

7

b)

9

c)

27

d)

11

51.

7 + (4 + 2) = 13, so (7 + 4) + 2

a)

10

b)

12

c)

13

d)

14

52.

What is the missing number?

5 × (__× 9) = (5 × 8) × 9

a)

5

b)

360

c)

8

d)

9

53.

2 X 0 =

(a)

54.

12 X 1 =

(a)

55.

What number fills in the blank?
24 + ____ = 24

a)

24

b)

2

c)

0

56.

$-5+?\ =0$

(a)

57.

$\frac{1}{7}\times?=1$

(a)

58.

5(a + 6)

a)

5a + 6

b)

a + 30

c)

5a + 30

d)

5a - 30

59.

5 + 1 = 1 + 5

a)

Commutative Property of Addition

b)

Associative Property of Addition

c)

Inverse Property of Addition

d)

Distributive Property

60.

(5 • 2) • 4 = 5 • (2 • 4)

a)

Commutative Property of Multiplication

b)

Associative Property of Multiplication

c)

Transitive Property

d)

Symmetric Property

61.

9 + 0 = 9

a)

Reflexive Property

b)

Distributive Property

c)

Identity Property of Addition

d)

Inverse Property of Addition

62.

$12\cdot\frac{1}{12}\ =\ 1$

a)

Identity Property of Multiplication

b)

Associative Property of Multiplication

c)

Commutative Property of Multiplication

d)

Inverse Property of Multiplication

63.

$\pi$ • 0 = 0

a)

Property of Zero

b)

Distributive Property

c)

Reflexive Property

d)

Symmetric Property

64.

-3(a + c) = -3a - 3c

a)

Transitive Property

b)

Distributive Property

c)

Symmetric Property

d)

Commutative Property of Multiplication

65.

(x • y) • z = z • (x • y)

a)

Associative Property of Multiplication

b)

Commutative Property of Multiplication

c)

Multiplicative Inverse Property

d)

Identity Property of Multiplication

66.

a² + (b² + c²) = (a² + b²) + c²

a)

Commutative Property of Addition

b)

Zero Property

c)

Associative Property of Addition

d)

Identity Property of Addition

67.

1 • g³ = g³

a)

Inverse Property of Multiplication

b)

Zero Property

c)

Transitive Property

d)

Identity Property of Multiplication

68.

-x + x = 0

a)

Additive Inverse Property

b)

Identity Property of Addition

c)

Commutative Property of Multiplication

d)

Associative Property of Addition

69.

Identify the example of the

inverse property of multiplication.

a)

5 ⋅ 0 = 5

b)

5 ⋅ $\frac{1}{5}$ = 1

c)

5 - 5 = 0

d)

5 ⋅ 1 = 5

70.

Identify the example of the

identity property of addition.

a)

a + (-a) = 0

b)

a + a = 2a

c)

a + 0 = a

d)

a + b = b + a

71.

Identify the additive inverse of

-7

a)

-7

b)

$-\frac{1}{7}$

c)

$\frac{1}{7}$

d)

7

72.

Identify this property.

$\frac{4}{5}\ \times\ \frac{5}{4}\ =\ 1$

a)

Multiplicative Inverse

b)

Multiplicative Identity

c)

Commutative

d)

Associative

73.

Identify this property.

$\frac{2}{3}\ +\ \left(-\frac{2}{3}\right)=0$

a)

Additive Identity

b)

Additive Inverse

c)

Multiplicative Property of 0

d)

Multiplicative Inverse

jehad

Total questions: 73

Worksheet time: 2hrs 17mins

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