Distributive Property and Combining Like Terms Review

Simplify this expression by combining like terms:

3x + 7y + 5x

• 8x + 7y

• 3x + 7y + 5x

• 10x + 7y

• 3x + 12y

Simplify by combining like terms:

-2a + 6a - 10b

• 4a - 10b

• 4a + 4b

• 4a

• 6a - 10b

Simplify by combining like terms:

6x + 10y + 4x - y

• 10x + 9y

• 14x - y

• 16x + 5y

• 10x + 15y

Simplify by combining like terms:

-12m + 2m + 15n - 5n

• -10m + 10n

• 10m - 10n

• -14m + 20n

• 14m + 20n

Simplify this expression using the distributive property:

3(d + 10)

• 3 x d + 3 x 10 = 3d + 30

• 3d + 10

• 30

• 33

Simplify this expression using the distributive property:

7(m + 2)

• 7m + 14

• 7m

• 14

• 7m + 2

Simplify this expression using the distributive property:

10(x - 3)

• 10x - 30

• 10x

• 30

• 10x - 3

Simplify this expression using the distributive property:

-5(a - 4)

• -5a + 20

• -5a - 20

• -5a - 4

• -5a

You might need to use both the distributive property and combining like terms to simplify an expression, like if you needed to simplify the expression 3(a + 2) + 20. What should you do first?

• Use the distributive property first

• Combine like terms first

• You don't need to do either to simplify this

If you use the distributive property to simplify 3(a + 2) + 20, you get the expression...

• 3a + 26

• 3a + 6

• 3a + 22