Identifying Equivalent Expressions Using the Distributive Property

What mathematical concept is being used to solve the problem?

• Distributive property

• Commutative property

• Additive identity

• Associative property

Tags

CCSS.6.EE.A.3

What is the result of distributing 2 over the expression 5x + 3?

• 10x + 3

• 7x + 3

• 10x + 6

• 25x + 6

Tags

CCSS.6.EE.A.3

Why can't the terms 10x and 6 be combined further?

• They represent different mathematical operations.

• One is a variable and the other is a constant.

• One is an exponent and the other is a base.

• They are like terms.

Tags

CCSS.6.EE.A.2B

Which of the following is a correct application of the distributive property?

• 2(5x + 3) = 25x + 6

• 2(5x + 3) = 10x + 3

• 2(5x + 3) = 5x + 6

• 2(5x + 3) = 10x + 6

Tags

CCSS.6.EE.A.3

Which answer choice is immediately identified as equivalent to the given expression?

• Choice A

• Choice B

• Choice C

• Choice D

Tags

CCSS.6.EE.A.4

Why is choice D not equivalent to the given expression?

• It is a multiplication of the expression by itself.

• It involves division instead of multiplication.

• It is a completely different expression.

• It represents subtraction instead of addition.

Tags

CCSS.6.EE.A.4

How is choice E proven to be equivalent to the given expression?

• By subtracting the constant from the variable

• By multiplying each term by 2

• By adding like terms together

• By dividing each term by 2

Tags

CCSS.6.EE.A.4

What are the like terms in the expression 5x + 3 + 5x + 3?

• 5x and 5x, 3 and 3

• 3 and 3

• 5x and 5x

• 5x and 3

Tags

CCSS.6.EE.A.2B

What is the simplified form of 5x + 5x + 3 + 3?

• 5x + 6

• 10x + 3

• 25x + 6

• 10x + 6

Tags

CCSS.7.EE.A.1

What are the final equivalent expressions to the given problem?

• Choices C and E

• Choices B and E

• Choices B and D

• Choices A and C

Tags

CCSS.6.EE.A.4