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### Distributive Property

• When a sum or difference inside parentheses is multiplied by a number outside the parentheses, you can multiply each number inside the parentheses by the number outside, then add or subtract as indicated.
• The Distributive Property is different from other properties is that it always involves two operations and parentheses.
• You use the Distributive Property to evaluate expressions that have a number multiplied by a sum or differences and can be written and used in several different forms.

## Use the distribute property to solve 3(8 + 5).

• 3(8 + 5) =
• (3 ×8) + (3 ×5) =
• 24 + 15 =

## Use the distributive property to solve 7(20 - 7).

• 7(20 − 7) =
• (7 ×20) − (7 ×7) =
• 140 − 49 =

## 18(2 - n) =

• (18 ×2) − (18 ×n) =

## 9(10 + x) =

• (9 ×10) + (9 ×x) =

## 7(a + b) =

• (7 ×a) + (7 ×b) =

## (9 + y - z)10 =

• (10 ×9) + (10 ×y) − (10 ×z) =

## 8(2a - 7b + 5c + 3d)

• (8 ×2a) − (8 ×7b) + (8 ×5c) + (8 ×3d) =

## Leslie makes \$ 45 an hour and works 8 hours a day. How much money does Leslie make in one day?

• 8(\$ 45) =
• 8(\$ 40 + \$ 5) =
• (8 ×\$ 40) + (8 ×\$ 5) =
• \$ 320 + \$ 40 =

## Your auditorium has 58 rows of seats and 20 columns of seats. How many seats are there in your auditorium?

• (58)20 =
• (50 + 8)20 =
• (50 ×20) + (8 ×20) =
• 1,000 + 160 =

## A bride buys a purse for each of her 5 bridesmaids. Each purse costs \$ 20.60. How much did the bride spend on the purses total?

• 5(\$ 20.60) =
• 5(\$ 20.00 + \$ 0.60) =
• (5 ×\$ 20.00) + (5 ×\$ 0.60) =
• \$ 100 + \$ 3 =

### \$ 103

*These practice questions are only helpful when you work on them offline on a piece of paper and then use the solution steps function to check your answer.

## Distributive Property

Lecture Slides are screen-captured images of important points in the lecture. Students can download and print out these lecture slide images to do practice problems as well as take notes while watching the lecture.