Distributive Property

Which expression below shows the result of applying the distributive property to 6(4+8)

• 72

• 24+8

• 64+68

• 24+48

Tags

CCSS.6.NS.B.4

Which of the following is equivalent to 5(7+3)

• 35+15

• 57+15

• 35+3

• 7+15

Answer explanation

Remember to distribute the 5 on the outside of the parenthesis to each of the numbers inside the parenthesis. That means you need to do 5⋅7 + 5⋅3

Tags

CCSS.7.NS.A.1D

Apply the distributive property to the expression: 8(5-2)

• 40+16

• 24

• 40-10

• 40-16

Tags

CCSS.6.NS.B.4

Use the distributive property to match the equivalent expressions.

• 18-12

• 6(3+2)

• 20-15

• 6(3-2)

• 20+15

• 5(4+3)

• 18+12

• 5(4-3)

• 28+49

• 7(4+7)

Tags

CCSS.6.NS.B.4

Which of the following is equivalent to 5(a + 6)?

• 5a + 6
• a + 30
• 5a + 30
• 5a - 30

Answer explanation

Remember to distribute the 5 on the outside of the parenthesis to each of the terms inside the parenthesis. That means you need to do 5⋅a + 5⋅6

Tags

CCSS.6.EE.A.4

Which of the following is equivalent to 4(p - 6)?

• -4p - 24
• 4p + 24
• 4p + 24
• 4p - 24

Answer explanation

Remember to distribute the 4 on the outside of the parenthesis to each of the terms inside the parenthesis. Also, note that the symbol inside the parenthesis is subtraction. That means you need to do 4⋅p - 4⋅6

Tags

CCSS.6.EE.A.3

What is the result of distributing 6 to the expression x + 2?

• 6x + 62

• 6x + 8

• 6x + 12

• 6x + 2

Answer explanation

The wording on this one is a little different. It means that the 6 is outside of the parenthesis and the x+2 would be in the parenthesis. In other words 6(x+2).

Tags

CCSS.6.EE.A.3

Which of the following is equivalent to 7(n - 5)?

• 7p - 35

• 7n + 35

• 7 - 35

• 7n - 35

Answer explanation

First, did you catch that this was a problem with a subtraction symbol? Also, there was an answer 7p-35 that was meant to see how close you paid attention... the variable in the original expression was "n" not "p" so you need to use the correct variable!

Tags

CCSS.6.EE.A.4

Simplify the expression 7(2x + 4).

• 14x - 28

• 7x - 4

• 14x + 28

• 21x - 28

Answer explanation

Did you catch that the first term in the parenthesis has not only a number, but a variable too! When distributing it would look like 7⋅2x + 7⋅4. The 7⋅2x would become 14x because 7⋅2 is 14 and 14⋅x is 14x.

Tags

CCSS.6.EE.A.3

What is the result of applying the distributive property to 2(3x + 7)?

• x + 7

• 6x + 14

• 10x + 21

• 5x + 12

Tags

CCSS.6.EE.A.3