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# Distributing Multiplication Over Addition and Subtraction Practice Problems

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By McGraw-Hill Professional
Updated on Sep 26, 2011

## Distributing Multiplication Over Addition Practice Problems

### Set 1: Distributive Property - Multiplication Over Addition and Subtraction

To review how to rewrite roots as exponents, go to Distributing Multiplication over Addition and Subtraction Help

(6 + 8) =

#### Solutions

1. 3(14 – 2) = 3(14) – 3(2) = 42 – 6 = 36

3. 4(6 – 2 x ) = 4(6) – 4(2 x ) = 24 – 8 x

4. 9 x (4 y + x ) = 36 xy + 9 x 2

5. 3 xy 4 (9 x 3 + 2 y ) = 27 x 4 y 4 + 6 xy 5

8. 10 y –3 ( xy 4 – 8) = 10 xy –3 y 4 – 80 y –3 = 10 xy – 80 y –3

9. 4 x 2 (2 y – 5 x + 6) = 8 x 2 y – 20 x 3 + 24 x 2

### Set 2: Distributing Negative Signs (Minuses)

To review how to rewrite roots as exponents, go to Distributing Multiplication over Addition and Subtraction Help.

#### Practice

1. –(4 + x ) =

2. –(– xy ) =

3. –(2 x 2 – 5) =

4. –(–18 + xy 2 ) =

5. –(2 x – 16 y + 5) =

6. –( x 2 – 5 x – 6) =

#### Solutions

1. –(4 + x ) = –4 – x

2. –(– xy ) = x + y

3. –(2 x 2 – 5) = –2 x 2 + 5

4. –(–18 + xy 2 ) = 18 – xy 2

5. –(2 x – 16 y + 5) = –2 x + 16 y – 5

6. –( x 2 – 5 x – 6) = – x 2 + 5 x + 6

### Set 3: Distributing Negative quantities

To review how to rewrite roots as exponents, go to Distributing Multiplication over Addition and Subtraction Help.

#### Practice

1. –2(16 + y ) =

2. –50(3 – x ) =

3. –12 xy (–2 x + y ) =

4. –7 x 2 (– x – 4y) =

5. –6 y (–3 xy + 4) =

#### Solutions

1. –2(16 + y ) = –32 – 2 y

2. –50(3 – x ) = –150 + 50 x

3. –12 xy (–2 x + y ) = 24 x 2 y – 12 xy 2

4. –7 x 2 (– x – 4 y ) = 7 x 3 + 28 x 2 y

5. –6 y (–3 xy + 4) = 18 xy + 6 y 2 – 24 y

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