Distributive Property of Rational Numbers

-1/4(x +  -16) - 1(-2x + 3)

• 1 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

(b - 7) (-7)

• -7b + 49

• 7b - 49

• b - 14

• -7b - 14

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

• Yes

• No

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

• 4x-7

• 4x+1

• 18x-32

• 13x+20

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

• -33b + 19

• -47b² +  21

• 33b - 19

• -47b + 19

Which of the following is true for the rational numbers a, b and c ?

• a × (b + c) = (a × b) + (b × c)

• a × (b + c) = (a + b) × (a + b)

• a + (b × c) = (a × b) + (a × c)

• a × (b + c) = (a × b) + (a × c)

Answer explanation

For rational numbers the distributive property of multiplication over addition can be expressed in general form as shown in option 4. Other options are incorrect representations of distributive property.

How could the following expression be rewritten using the distributive property?

• 3(5) + 7

• 3 + 3(7)

• 3(5) + 5(7)

• 3(5) + 3(7)