Distributive Property Combining Like Terms and Factoring

Factor the following using the greatest common factor:

6x + 12

• 2(3x + 6)

• 3(2x + 4)

• 6(x + 2)

• 3(3x + 9)

Simplify the expression:

3a + 6a - 12b + 8c - 2b

• 9a - 14b + 8c

• 18a + 24b + 8c

• 3abc

• 9a -12b + 8c - -2b

Simplify the expression: 2x + 1 + 7x 

• 10x

• 10

• 9x + 1

• 9 + 1x

Rewrite each expression using the Distributive Property. Then, combine like terms if possible.

Mathematical Equivalence

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Factor the following expression: 24 + 16w

• 4 (7 + 4w)

• 8 (3 + 2w)

• 4 (6w + 2)

• 24 (24 - 16w)

Factor the following expression: 14r - 8

• 2 (7r - 3)

• 2 (7r - 4)

• 7 (2r - 4)

• 4 (2r - 7)

Complete the equation using The Distributive Property.​ ​

3(2x + 4) = ​ ​ (a)  

2(3x + 2) = ​ (b)  

2(x + 1) = ​ (c)  

• 6x + 12

• 6x + 4

• 2x + 2

Which expression is equal to 16a + 24b?

• 4(4a + 20b)

• 8(2a + 3b)

• 4a(4 + 6b)

• 8ab(2 + 3)

Rewrite the expression by factoring out the greatest common factor.

Simplify the expression:

-2x + 4 + 6x - 7