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Properties of Adding and Multiplying in Algebraic Expression

Total questions: 14

Worksheet time: 15mins

Name
Class
Date
1.

Which property shown is NOT the Commutative Property?

a)

 34 +12 = 12 + 3434\ +12\ =\ 12\ +\ 34  

b)

 9 ⋅ (21⋅3)=(21⋅3) ⋅99\ \cdot\ \left(21\cdot3\right)=\left(21\cdot3\right)\ \cdot9  

c)

 ∞+∇≡∇+∞\infty+\nabla\equiv\nabla+\infty  

d)

 18 ⋅ (4⋅m)= (18⋅4)⋅m18\ \cdot\ \left(4\cdot m\right)=\ \left(18\cdot4\right)\cdot m  

2.

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

3.

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

4.

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

5.

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

6.

What is an expression that contains at least one variable called?

a)

operational expression

b)

constant expression

c)

numerical expression

d)

algebraic expression

7.
Simplify the expression and which property you used:
(x + 18) + 4
a)
x + 22, Assoc. Prop of Addition
b)
x + 22 Comm. Prop of Multiplication
c)
x + 22, Comm. Prop of Addition
d)
x + 22, Identity Property
8.
Identify the property shown.
a)
Commutative Property of Multiplication
b)
Commutative Property of Addition
c)
Associative Property of Multiplication
d)
Multiplication Property of 5
9.
Identify the property shown.
a)
Associative Property of Addition
b)
Commutative Property of Addition
c)
Distributive Property
d)
Multiplication Property of 1
10.
Which of the following properties describes the mathematical expression? 
(a + 31) + b = a + (31 + b )
a)
Associative
b)
Distributive
c)
Commutative
d)
Identity
11.

Identify the property used to find the equivalent expression xyz = zxy.

a)

Commutative Property of Multiplication

b)

Distributive Property

c)

Zero Product Property

d)

Associative Property of Multiplication

12.

Create an equation using the given numbers and the multiplication property.


25 and 0

Zero Property of Multiplication

a)

25 x 1 = 25

b)

25 x 0 = 25

c)

25 + 1 = 25

d)

25 x 1 = 2 x 25

13.

Name the property showed by the following statement.

2a(1) = 2a

a)

Commutative Property

b)

Associative Property

c)

Multiplication Property of Zero

d)

Multiplication Property of One

14.

27 + 0 = 27

a)

Multiplication Property of Zero

b)

Multiplication Property of One

c)

Addition Property of Zero

d)

Associative Property of Addition