# Lesson Worksheet: Simplifying Expressions: Commutative and Associative Properties Mathematics • 6th Grade

In this worksheet, we will practice simplifying algebraic expressions using the commutative and associative properties for addition and multiplication.

Q1:

If , what is the value of ?

Q2:

Use the properties of real numbers to simplify the expression to one without parentheses.

• A
• B
• C
• D
• E

Q3:

Which of the following illustrates the associative property of addition?

• A
• B
• C
• D
• E

Q4:

Rewrite the expression using the associative property.

• A
• B
• C
• D
• E

Q5:

In a class, Victoria calculates and Liam calculates . Which property of addition tells us that their answers will be the same?

• Bcommutative property
• Cidentity property
• Dassociative property

Q6:

If , what is the value of ?

Q7:

If , what is the value of ?

Q8:

Given that , evaluate .

Q9:

Which of the following illustrates the associative property of multiplication?

• A
• B
• C
• D
• E

Q10:

Given that , find the value of .

Q11:

Knowing that , which of the following equations is not true?

• A
• B
• C
• D
• E

Q12:

Use the properties of real numbers to fill in the blanks: .

• A, 140
• B, 24
• C, 140
• D, 24
• E, 140