# How to Use the Distributive Property? (+FREE Worksheet!)

To solve expressions in the form of \(a(b + c)\), we need to use * the distributive property* or the distributive property of multiplication.

## Related Topics

- How to Translate Phrases into an Algebraic Statement
- How to Simplify Variable Expressions
- How to Simplify Polynomial Expressions
- How to Evaluate One Variable
- How to Evaluate Two Variables

## Step by step guide to use the distributive property correctly

- Distributive Property:

\(\color{blue}{a \ (b \ + \ c)=ab \ + \ ac} \)

### The Distributive Property – Example 1:

Simplify. \((- \ 2)(x \ – \ 3)=\)

**Solution:**

Use Distributive Property formula: \(a \ (b \ + \ c)=ab \ + \ ac \)

\((-2)(x-3)=-2x+6\)

**The Greatest Math for Grade 5 Resource**

### The Distributive Property – Example 2:

Simplify. \((5)(6x\ – \ 3)=\)

**Solution:**

Use Distributive Property formula: \(a \ (b \ + \ c)=ab \ + \ ac \)

\((5)(6 x – \ 3)=30x\ – \ 15 \)

### The Distributive Property – Example 3:

Simplify. \((5x-3)(–5)=\)

**Solution:**

Use Distributive Property formula: \(a(b+c)=ab+ac \)

\((5x-3)(–5)=-25x+15 \)

**The Absolute Best Book for 5th Grade Students**

### The Distributive Property – Example 4:

Simplify \((-8)(2x-8)=\)

**Solution:**

Use Distributive Property formula: \(a(b+c)=ab+ac \)

\((-8)(2x-8)=-16x+64\)

## Exercises for Using the Distributive Property

### Use the distributive property to simplify each expression.

- \(\color{blue}{– (– 2 – 5x)}\)
- \(\color{blue}{(– 6x + 2)(–1)}\)
- \(\color{blue}{(– 5) (x – 2)}\)
- \(\color{blue}{(– 2x) (– 1 + 9x) – 4x (4 + 5x)}\)
- \(\color{blue}{3 (– 5x – 3) + 4(6 – 3x)}\)
- \(\color{blue}{(– 2)(x + 4) – (2 + 3x)}\)

### Download The Distributive Property Worksheet

## Answers

- \(\color{blue}{5x + 2}\)
- \(\color{blue}{6x – 2}\)
- \(\color{blue}{–5x + 10}\)
- \(\color{blue}{– 38x^2 – 14x}\)
- \(\color{blue}{– 27x + 15}\)
- \(\color{blue}{– 5x – 10}\)

**The Absolute Best Math Books for Elementary Students**

## Related to This Article

### More math articles

- Representing Percentage
- How to Solve Measurement Word Problems
- 7th Grade SBAC Math FREE Sample Practice Questions
- FREE 6th Grade ACT Aspire Math Practice Test
- 4th Grade RICAS Math Worksheets: FREE & Printable
- How to Find Addition and Subtraction of Vectors?
- 5th Grade IAR Math Worksheets: FREE & Printable
- 6th Grade MCA Math Worksheets: FREE & Printable
- The Ultimate 6th Grade WY-TOPP Math Course (+FREE Worksheets)
- Overview of Middle-Level SSAT Mathematics Test

## What people say about "How to Use the Distributive Property? (+FREE Worksheet!) - Effortless Math: We Help Students Learn to LOVE Mathematics"?

No one replied yet.