Equivalent Expressions

Use the distributive property to find an equivalent expression: 5(2f + 4)

• 10f + 4
• 10f + 9
• 10f + 20
• 30f

Find an equivalent expression for the given expression: 36x + 24

• 4(9x + 7)
• 4(9x + 8)
• 2(18x + 12)
• 12(3x + 3)

Which expression is equivalent to 3x + 5 + 7x + 2?

• 10x + 7
• 17x
• 17
• 15x + 2

Which expression is equivalent to 6y + 22y + y?

• 28y + 1
• 29y
• 22y + 7
• 29

Which expression is equivalent to 7(3a + 4b)?

• 21a + 28b
• 10a + 11b
• 21a + 4b
• 10a + 28b

Which expression is equivalent to:
d + d + d + 3 + 2

• 3d + 5
• d + 5
• 2d + 7
• 3d + 4

Use the distributive property to find an equivalent expression: 5(2f + 4)

• 10f + 4
• 10f + 9
• 10f + 20
• 30f

Are these two expressions equivalent?
6 + 3 and 3 + 6

• Yes, because of the associative property
• Yes, because of the commutative property
• Yes, because of the associative property
• No, these two expressions are not equivalent

Are  these two expressions equivalent?
2 • (3 • 7) and  (2 • 3) • 7 

• Yes, because of the associative property
• Yes, because of the commutative property
• Yes, because of the distributive property
• No, these two expressions are not exquivalent

This property tells us that you can move the parentheses when you are multiplying and the answer will not change. 

• Associative Addition 
• Associative Multiplication
• Commutative Addition 
• Commutative Multiplication