Distributive Property

What is the distributive property?

• For any numbers a, b, c,

  a(b + c) = ab + ac

• For any numbers a, b, and c,

  a(b + c) = a + (b + c)

• For any numbers a, b, c,

  abc = a + b + c

• For any number a, b, and c,

  a(b + c ) = a(c + b)

Tags

CCSS.6.EE.A.3

CCSS.6.EE.A.4

CCSS.6.NS.B.4

Simplify the following:

5 ( a + 6 )

• 5a + 6

• a + 30

• 5a + 30

• 5a - 30

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Simplify the following:

2 ( c - 8 )

• 2c - 16

• 2c + 16

• 2c - 8

• c - 16

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Fill in the blank:

2 ( x + 7 ) = 2x + __

• 7

• 14

• 7x

• 14x

Tags

CCSS.HSA.REI.B.3

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Fill in the blank:

4 ( 3x + __ ) = 12x + 16

• 4

• 16

• 4x

• 12

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.3

Simplify the following:

3x ( x + 5 )

• 3x + 15

• 3x² + 5

• 3x² + 15

• 3x² + 15x

Tags

CCSS.HSA.APR.A.1

Simplify the following:

6x ( x - 4 )

• 6x - 24

• 6x² - 4x

• 6x² - 24x

• 6x² - 24x²

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.SSE.B.3

Simplify the following:

2x ( 7x + 3 )

• 7x² + 6x

• 14x² + 3x

• 14x² + 6x

• 14x² + 3

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.SSE.B.3

Simplify the following:

-3x ( 8x - 4 )

• 24x - 12

• -24x² - 12x

• -24x² + 12x

• 24x² + 12x²

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.SSE.B.3

Simplify the following:

x ( 12x - 5 )

• 12x² - 5x

• 12x² + 5x

• 12x² + 5

• x² - 5x

Tags

CCSS.HSA.APR.A.1