Distributive Property with Rational Numbers

Simplify by distributing and combining like terms:
¼(8x-12)+⅕(10x-20)

• 4x-7

• 4x+1

• 18x-32

• 13x+20

-1/4(x +  -16) - 1(-2x + 3)

• 3/4x + 1

• 2x + 2

• 1 1/2x + 1

• 4x + 1

-1/3(3x +  -6)  + 5(x + 4)

• -6x + 22

• -4x + 22

• 6x + 24

• 4x + 22

-1/2(16x +  -8) - 1/2(x + 10)

• -6 1/2x - 2

• -8 1/2x - 1

• 6 1/2x - 2

• 8 1/2x - 1

Simplify by distributing:
-⅔(-6x - 9)

• 12x+18

• 2x+3

• 4x+6

• 6x+9

Ms. Carmean simplified the expression
 ¾(4x-16) to x-4. Is she correct?

• Yes

• No

Simplify the following expression:
-8(5b + 2) - 7(b - 5)

• -33b + 19

• -47b² +  21

• 33b - 19

• -47b + 19

"D" matches with which property?

Choose the correct answer choice.

Answer choices:

1. Commutative Property

2. Associative Property

3. Identity Property

4. Inverse Property

5. Property of Zero

6. Distributive Property

7. Reflexive Property

8. Symmetric Property

9. Transitive Property

• 1

• 2

• 5

• 6

D matches with which property?

Type the NUMBER only of the answer.

Answer choices:

1. Commutative Property

2. Associative Property

3. Identity Property

4. Inverse Property

5. Property of Zero

6. Distributive Property

7. Reflexive Property

8. Symmetric Property

9. Transitive Property

Leighandra was multiplying  4( 2 1/2).  Instead of changing the mixed number to an improper fraction.  She did 4(2) + 4(1/2).  What property did she use?

• Associative

• Commutative

• Distributive

• inverse