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Distributive Property Strategies

Last updated about 5 years ago

10 questions

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Question 1

1.

Which DP Strategy would I use to solve this problem?
3x + 2(2x - 1)

I have a negative out front, so change the sign of everything inside the parentheses.

This is a double distriubutive property problem, so I solve them one at a time and combine like terms.

This has a floating term, so I ignore it for now and start with the distributive property.

I have to multiply from the back.

There are more than two terms inside the parentheses...don't forget to multiply them all!

Question 2

2.

Simplify the expression.

Question 3

3.

Which DP Strategy would I use to solve this problem? (There are TWO of them!)
- (9x - 14 + 5)

I have a negative out front, so change the sign of everything inside the parentheses.

This is a double distriubutive property problem, so I solve them one at a time and combine like terms.

This has a floating term, so I ignore it for now and start with the distributive property.

I have to multiply from the back.

There are more than two terms inside the parentheses...don't forget to multiply them all!

Question 4

4.

Simplify the expression.

Question 5

5.

Which DP Strategy would I use to solve this problem? (There are TWO of them!)
- (4y - 11) + 6y

I have a negative out front, so change the sign of everything inside the parentheses.

This is a double distriubutive property problem, so I solve them one at a time and combine like terms.

This has a floating term, so I ignore it for now and start with the distributive property.

I have to multiply from the back.

There are more than two terms inside the parentheses...don't forget to multiply them all!

Question 6

6.

Simplify the expression.

Question 7

7.

Which DP Strategy would I use to solve this problem?
4(2a + 2) + 2(a - 4)

I have a negative out front, so change the sign of everything inside the parentheses.

This is a double distriubutive property problem, so I solve them one at a time and combine like terms.

This has a floating term, so I ignore it for now and start with the distributive property.

I have to multiply from the back.

There are more than two terms inside the parentheses...don't forget to multiply them all!

Question 8

8.

Simplify the expression.

Question 9

9.

Which DP Strategy would I use to solve this problem?
(14 - 6z)(5)

I have a negative out front, so change the sign of everything inside the parentheses.

This is a double distriubutive property problem, so I solve them one at a time and combine like terms.

This has a floating term, so I ignore it for now and start with the distributive property.

I have to multiply from the back.

There are more than two terms inside the parentheses...don't forget to multiply them all!

Question 10

10.

Simplify the expression.