Distributive Property of Rational Numbers

-1/4(x +  -16) - 1(-2x + 3)

• 1 3/4x + 1

• 2x + 2

• 1 1/2x + 1

• 4x + 1

Tags

CCSS.6.EE.A.3

-1/3(3x +  -6)  + 5(x + 4)

• -6x + 22

• -4x + 22

• 6x + 24

• 4x + 22

Tags

CCSS.6.EE.A.3

-1/2(16x +  -8) - 1/2(x + 10)

• -6 1/2x - 2

• -8 1/2x - 1

• 6 1/2x - 2

• 8 1/2x - 1

Tags

CCSS.6.EE.A.3

Simplify by distributing:
-⅔(-6x - 9)

• 12x+18

• 2x+3

• 4x+6

• 6x+9

Tags

CCSS.7.EE.A.1

(b - 7) (-7)

• -7b + 49

• 7b - 49

• b - 14

• -7b - 14

Tags

CCSS.6.EE.A.3

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

• Yes

• No

Tags

CCSS.6.EE.A.3

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

• 4x-7

• 4x+1

• 18x-32

• 13x+20

Tags

CCSS.7.EE.A.1

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

• -33b + 19

• -47b² +  21

• 33b - 19

• -47b + 19

Tags

CCSS.6.EE.A.3

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.

Tags

CCSS.7.NS.A.2C

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)

Tags

CCSS.6.NS.B.4