Equivalent Expressions Using Distributive Property and Like Terms

Which property explains why 7(2x + 5) and 14x + 35 are equivalent?

• Associative Property of Multiplication

• Associative Property of Addition

• Distributive Property

• Commutative Property of Addition

Which of the following is equivalent to the expression 5x + 3(2x + 6) - 7x?

• 4x + 6

• 18x + 18

• 18x + 6

• 4x + 18

What are the like terms in the expression 4a + 7 + 4b + 3a + 5ab?

• 4a and 4b

• 4a and 3a

• 4a, 4b, and 3a

• 4a, 3a, and 5ab

Which of the following is equivalent to the expression 9m + 3?

• (6 + 3)m + 3

• 9(m + 3)

• (5m + 4) + 3

• 3(2m + 3) + 3

Which pair of expressions is equivalent for any variable value greater than zero?

• 6(5x + 7) and 30x + 7

• 8a + 11 - 2a and 10a + 11

• h + 2h + k and 3hk

• g + g + 4n and 2g + 4n

Which expressions below could be used to find the perimeter of this parallelogram? Select all that apply.

• 2(a + b)

• a + b + a + b

• 2a + b

• 2b + 2a

• ab

How can you make equivalent expressions? Select all that apply.

• combine all the variables

• apply the properties of operations

• combine like terms

• solve from left to right

What are equivalent expressions?

• Expressions that are identical.

• Expressions that have the same value for all values of the variables.

• Expressions that have the same variable and are raised to the same power.

Combine the like terms to find an expression equivalent to 7g - 3h - 2g + 15h?

• 9g + 18h

• 9g - 18h

• 5g + 18h

• 5g + 12h

Which properties explain why 6(7g + 4) and 24 + 42g are equivalent?

• Associative Property of Addition

• Associative Property of Multiplication

• Commutative Property of Addition

• Distributive Property