Distributive Property and Combine Like Terms

Distributive Property and Combine Like Terms

By CHARLES WIGINGTON

(5 x 2y) and (5 x -1)

​10y - 5 + 3y - 4

​10y - 5 + 3y - 4

10y + 3y - 5 - 4

13y - 9​

​5(2y - 1) + 3y - 4

1. Multiply the Parenthesis

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2. Identify Like Terms

3. Combine Like Terms

Steps To Simplify The Expression

Some text here about the topic of discussion

Multiple Choice

3 + 8(x − 4)

First task is

• 3 + 8

• 8(x - 4)

• x - 4

Multiple Choice

3 + 8(x − 4)

Simplify the Distributive Property option

• 8x - 32

• 8x - 4

• x - 32

Multiple Choice

3 + 8(x − 4)

Rewrite the problem

• 3 + 8x - 32

• 3 + 8x - 4

• 11x - 32

Multiple Choice

3 + 8(x − 4)

3 + 8x - 32

What are the like terms?

• 3 and 8x

• 8x and -32

• 3 and - 32

Multiple Choice

3 + 8(x − 4)

3 + 8x - 32

Combine the like terms.

• 3 - 32 + 8x

  3 + 8x = 11x

• 3 - 32 + 8x

  8x - 32 = -24x

• 3 - 32 + 8x

  3 - 32 = -29

Multiple Choice

3 + 8(x − 4)

3 + 8x - 32

3 - 32 + 8x

Combine the like terms and rewrite the answer.

• 11x - 32

• 3 - 24x

• 8x - 29

Multiple Choice

−4x – 5(x + 3x)

What is my first task?

• Distributive Property

• Combine Like Terms

Multiple Choice

−4x – 5(x + 3x)

Write the Distribution

• -4x(-5) +(-4x)(3x)

• -5x + 3x

• -5(x) + -5(3x)

Multiple Choice

−4x – 5(x + 3x)

Simplify and rewrite the Distribution

• -4x - 5x - 15x

• 20x + 5x -15x

• -4x - 5x + 3x

Multiple Choice

−4x – 5(x + 3x)

-4x - 5x - 15x

Identify the Like Terms

• -4x - 5x - 15x

• -4x and -5x

• - 5x and 3x

• -4x and 3x

Multiple Choice

−4x – 5(x + 3x)

-4x - 5x - 15x

Combine the Like Terms

• -24x

• -9x +3

• -2x + 1

• -x

Multiple Choice

12x + 5(x – 4) + 3

What is my first task?

• Distributive Property

• Combine Like Terms

Multiple Choice

12x + 5(x – 4) + 3

Identify the Distributive Property

• 12(x) and 5(x)

• 5(x) and 5(-4)

• x(-4) and x(3)

• 12(x) and 12(3)

Multiple Choice

12x + 5(x – 4) + 3

Rewrite using the Distributive Property

• 12x + 5x - 20 + 3

• 12x + 5x - 4 + 3

• 12x + 5 - 4 +3

Multiple Choice

12x + 5(x – 4) + 3

12x + 5x – 20 + 3

Identify the Like Terms

• 12x and 5x

  -20 and 3

• 12x and -4x

  5 and 3

• 5, -4 and 3

Multiple Choice

12x + 5(x – 4) + 3

12x + 5x – 20 + 3

Rewrite by pairing the Like Terms

• (12x + 5x) + (-20 + 3)

• (12x - 20) + (5x +3)

• (5x + 3) + (12x - 20)

Multiple Choice

12x + 5(x – 4) + 3

12x + 5x – 20 + 3

Combine Like Terms and Simplify the Expression

• 17x - 17

• -8x + 8

• 7x - 1

Multiple Choice

Simplify the Expression

3x – 5 – (−4x + 8) – 12

Hint: the parenthesis multiplies by -1

• 7x - 25

• x - 17

• 11x +20

Multiple Choice

Simplify the Expression

4(x – 12) – 8(−x + 4)

Hint: You use the Distributive Property more than once

• 12x - 80

• -4x - 12

• -8x - 80

Multiple Choice

Simplify the Expression

−(3x + 7) – (x + 3)

Hint: A negative sign by itself before the parenthesis is the same as a -1

• -4x - 10

• -10x + 10

• 3x + 10

Multiple Choice

Simplify the Expression

16 + 8(x – 4) – 3(x – 6)

• 5x + 2

• 5x + 12

• -11x - 24

Open Ended

Simplify the Expression

−3 – 6(2x + 4) + 7

This time write the answer

Open Ended

Simplify the Expression

−(x – 3) – (x – 6) + 4

This time write the answer