Combining Like Terms and Distribution

Combining Like Terms with Distribution

1. Distribute

2. ​Combine terms

Remove the parentheses and write each expression in simplest for.

7(2 +a)

14 + 7a

7a + 14

When we have parentheses

• Distribute and multiply

• Combine like terms

​2(x + 3) + x

​

2x + 6 + x

​

3x + 6

​MULTIPLY :)

5(x - 3) - 4x

5x - 15 - 4x

x - 15

Poll

What is the first step of simplifying 7 + 2(x + 4) ?

• Distribute the 2 by multiplying

• Adding 7

Multiple Choice

What is 7 + 2(x + 4) simplified?

• 2x + 15

• 9x + 11

Multiple Choice

Whenever you see a number outside the parentheses, you should

• divide

• multiply

Multiple Choice

What is the next line when simplifying 3(x + 4) - 2 ?

• 3x - 2

• 3x + 12 - 2

Multiple Choice

What is the answer when simplifying 3(x + 4) - 2 ?

• 3x +10

• 7x - 2

Multiple Choice

What is 4(x-3) + 10?

• 4x - 7

• 4x - 2

Multiple Choice

Which expressions below have like terms?

• 9a + 2a

• 8x + 5

Multiple Choice

Simplify the expression.

-3(x + 2) + 3

What is the first step?

• Add 3

• Multiply x and 2 by -3

• Multiply -3 by 3.

Multiple Choice

Simplify the expression.

-3(x + 2) + 3

After you multiply x and 2 by -3 you get

-3x - 6 + 3

What is the next step?

• Combine -6 and 3 to get -3.

• Combine -3x and 3 to get 0.

• Combine -3x and -6 to get -9.

Multiple Choice

Simplify the expression.

-3(x + 2) + 3

After you multiply x and 2 by -3 you get

-3x - 6 + 3

What is the final answer?

• -3x + 6

• -9

• -3x - 3