Distributive Property

Help Questions

Pre-Algebra › Distributive Property

Questions 1 - 10
1

Simplify the expression.

Explanation

Use the distributive property to multiply each term by .

Simplify.

2

Simplify the expression.

Explanation

Use the distributive property to multiply each term of the polynomial by . Be careful to distribute the negative as well.

3

Simplify the following expression using the distributive property.

Explanation

Distributive property is used to multiply a single term by two or more terms inside a set of parenthesis. Multiply the outside term (5) by 7 first.

Then multiply the outside term (5) by 9.

Combine the two remaining terms by keeping the sign that was originally inside the parenthesis.

4

Find the value of .

2

4

6

-2

-6

Explanation

We can seperate the problem into two steps:

We then combine the two parts:

5

Distribute .

Explanation

When distributing with negative numbers we must remember to distribute the negative to all of the variables in the parentheses.

Distribute the through the parentheses by multiplying it with each object in the parentheses to get .

Perform the multiplication remembering the positive/negative rules to get , our answer.

6

Which of the answers correctly shows the following equation distributed correctly?

Explanation

7

Simplify:

Explanation

Use the distributive property to simplify the expression.

This means multiply the with each term within the parentheses.

8

Expand:

Explanation

Use the distributive property. Do not forget that the negative sign needs to be distributed as well!

Add the terms together:

9

Distribute:

Explanation

Remember that a negative multiplied by a negative is positive, and a negative multiplied by a positive is negative.

Distribute the through the parentheses by multiplying it by each of the two terms:

10

Simplify the expression.

Explanation

Multiply the mononomial by each term in the binomial, using the distributive property.

Page 1 of 3
Return to subject