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Worksheets

Algebraic Properties

Total questions: 16

Worksheet time: 20mins

Name
Class
Date
1.

Which property is illustrated by 14x + 7 = 7 + 14x

a)

Distributive Property of Addition

b)

Associative Property of Addition

c)

Commutative Property of Addition

d)

Identity Property of Addition

2.

The ______ states that changing the order of two or more terms in an addition problem does not change the sum

a)

Commutative Property of Addition

b)

Associative Property of Addition

c)

Identity Property of Addition

d)

Distributive Property of Addition

3.

Which property is illustrated by the following: 8(3a + 6) = 8(3a) + 8(6)

a)

Associative Property of Addition

b)

Distributive Property of Addition

c)

Identity Property of Addition

d)

Commutative Property of Addition

4.

Which property is shown in the following: 12 + (3 + x) = (12 + 3) + x

a)

Distributive Property of Addition

b)

Identity Property of Addition

c)

Commutative Property of Addition

d)

Associative Property of Addition

5.

b(4)b\left(4\right) is equivalent to which?

a)

4 + b

b)

4b

c)

b + 4

d)

b - 4

6.

Which property is shown: 8 + 9 + 2b = 2b + 9 + 8

a)

Commutative Property of Addition

b)

Identity Property of Addition

c)

Associative Property of Addition

d)

Distributive Property of Addition

7.

Using the associative property, which expression is equivalent to: ( m + 12) + 7 ?

a)

m(12 + 7)

b)

12m + 7

c)

m + (12 + 7)

d)

19m

8.

Which addition property is illustrated by the statement 3 + 0 = 3

a)

Distributive Property of Addition

b)

Identity Property of Addition

c)

Commutative Property of Addition

d)

Multiplication Property of Zero

9.

The ______ states that changing the grouping of the factors in a multiplication sentence does not change the product.

a)

Commutative Property of Addition

b)

Associative Property of Addition

c)

Identity Property of Addition

d)

Distributive Property of Addition

10.

Which is an example of the Multiplication Property of Zero?

a)

a x 0 = 0

b)

0 + 1 = 1

c)

2 x 1 = 2

d)

0 + 3a = 3a

11.

Name the property shown: (4+c) + 6 = c + (4+6) = c + 10

a)

Commutative Property of Multiplication

b)

Associative Property of Addition

c)

Neither

d)

Both

12.

Which one doesn't belong? (10 + k) + 8

a)

(k + 10) + 8

b)

18k

c)

k + (10 + 8)

d)

k + 18

13.
Name the property showed by the following statement.
(7 + c) + 0 = 7 + c
a)
Commutative Property
b)
Associative Property
c)
Distributive Property
d)
Addition Property of Zero (Identity)
14.
Name the property showed by the following statement.
a(bc) = (ab)c
a)
Commutative Property
b)
Associative Property
c)
Distributive Property
d)
Multiplication Property of One (Identity)
15.
Name the property showed by the following statement.
2a(1) = 2a
a)
Commutative Property
b)
Associative Property
c)
Distributive Property
d)
Multiplication Property of One (Identity)
16.

Find the value of x.


6(3+2) = x(3) + x(2)

a)

1

b)

3

c)

2

d)

6