Distributive Property and Combining Like Terms

Use the distributive property and combine like terms:

2(x + 8) + 6x

• 2x + 8 + 6x

• 8x + 8

• 8x +16

Use the distributive property and combine like terms:

4x + 2(x - 1)

• 6x - 2

• 4x + 2x - 2

• 6x - 1

• 8x + 2x - 2

Simplify by combining like terms: 7v - 2 + 12 + 2v

• 23

• 23v

• 9 + 14v

• 9v + 10

Simplify by combining like terms:

5a + 2b - 3a + 4

• 8a + 2b + 4

• 2a + 2b + 4

• 8ab

• 4ab + 4

Fill in the blank to create equivalent expressions using the properties given.

20(x+7) - 4x GIVEN

20x + __ - 4x Distributive Property

16x + __ Combine Like Terms

Enter the value on the keypad.

Mathematical Equivalence

ON

Tags

6.7.D

To ​simplify the expression 3(x+4)+1 I can first use the ​ (a)   to get 3x+12+1. Then, I can ​ (b)   to get the expression 3x+13

• simplify

• distributive property

• combine like terms

6(3x + 5) + 2(x - 4) 

• 11x + 22

• 20x + 22

• 20x + 1

• 18x + 26

Simplify

3(3x -6) +5(3x +6)

Mathematical Equivalence

ON

2(3x - 1) + 10

• 6x + 12

• 6x + 8 

• 6x + 9

• 6x - 8 

Complete each step to show how to simplify 3(4n - 1) - 3 and write the result in factored form.

• 12n - 3 - 3

• 12n - 6

• 6(2n - 1)

• 12n - 1 - 3

• 7n + 2 - 3

• 12n - 4

• 7n - 1

• 4(3n - 1)