Distributive Property and Combine Like Terms

3(w + 4) = 3w + 12 is an example of...

• Inverse Property

• Distributive Property

• Multiplicative Inverse

• Associative Property

Which shows 6 x 38 written using the distributive property?

• 6 (3 + 8)

• 6 ( 30 + 8)

• 38 (6 + 1)

• 38 ( 6 + 0)

Which shows 4 x 72 written using the distributive property?

• 4 (70 + 2)

• 4 ( 72 + 0)

• 72 (4 + 1)

• 72 ( 4 + 0)

Use the Distributive Property:

5(a + 6)

• 5a + 6

• a + 30

• 5a + 30

• 5a – 30

Combine like terms: n -10 + 9n - 3=

• 9n - 7

• 10n - 7

• 9n - 13

• 10n -13

Simplify

2(4y -2) -3(y +5)

Mathematical Equivalence

ON

Simplify by combining like terms:
5a + 2b - 3a + 4

• 8a + 2b + 4

• 2a + 2b + 4

• 8ab

• 4ab + 4

Combine the like terms in the expression: 5x + 3y + 5 + 4x + 3y + y + 8

• 9x + 7y + 13

• 6x + 2y + 2

• 25x + 2y + 3

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

Combine the like terms in the expression: 5x + 3y + 5 + 4x + 3y + y + 8

• 9x + 7y + 13

• 6x + 2y + 2

• 25x + 2y + 3