# Distributive Property Basics - Evaluate Expressions

Worksheet (Pre-Algebra)

## Distributive Property Basics - Evaluate Expressions Worksheet

This Free Pre-Algebra Worksheet contains problems that require use of the distributive property. Students must use the distributive property to simplify numeric expressions and evaluate products mentally.

## Lesson:

2. To evaluate expressions using the distributive property

15

2

Yes

## Samples:

Evaluate using the distributive property. Show your work and all steps.

Example: 5(4 + 2) = 5·4 + 5·2 = 20 + 10 = 30

1) 2(5 + 4) 2) (3 – 1)4 3) 5(20 + 2)

4) -5(10 + 3) 5) (10 – 2)(-3) 6) 5(2 + 4 + 6)

Use the distributive property in reverse. Write the following expressions using the distributive property. Then evaluate if possible.

Example: 5 · 3 + 5 · 8 = 5(3 + 8) = 15 + 40 = 55

7) 10 · 12 + 10 · 5

8) 2 · 9 + 3 · 9

9) x · 2 + x · 3

Use the distributive property to evaluate. Show your work.

Examples: 2(102) = 2(100 + 2) = 2 · 100 + 2 · 2 = 200 + 4 = 204
2(98) = 2(100 – 2) = 2 · 100 – 2 · 2 = 200 – 4 = 196

10) 20(103)

11) 5(22)

12) 5(18)

13) 20(97)

14) 4(397)

15) 5(1020)