Distributive Property in Algebra

This video tutorial introduces the distributive property of multiplication over addition, explaining its application in algebra and real-world scenarios. It covers the basics of multiplication notation, demonstrates the property with examples, and provides practice problems to reinforce understanding. The tutorial emphasizes the importance of the distributive property in simplifying expressions and solving algebraic equations.

Which of the following is NOT a correct way to represent multiplication in algebra?

• m(n)

• m * n

• mn

• m + n

In algebra, what does placing a number next to a parenthesis indicate?

• Multiplication

• Subtraction

• Division

• Addition

What is the distributive property of multiplication over addition?

• a(b + c) = ab + ac

• a(b + c) = a(bc)

• a(b + c) = a + b + c

• a(b + c) = ab - ac

If you have 3(4 + 5), what is the result using the distributive property?

• 3 + 4 + 5

• 27

• 9

• 12 + 15

How can the distributive property be used in a store scenario?

• By adding the cost of items directly

• By subtracting the cost of one item from the total

• By breaking down the total cost into smaller parts

• By multiplying the total number of items by their cost

What is the result of 7 times 13 using the distributive property?

• 7 + 13

• 70 + 21

• 91

• 7 * 13

Why is the distributive property useful in algebra?

• It is not useful

• It helps in adding numbers

• It simplifies expressions by removing parentheses

• It is used for division

What is the simplified form of 5(x + 8) using the distributive property?

• 5x + 40

• 5x + 8

• 5x + 8x

• 5 + 8x

How do you simplify 4(m + 13) using the distributive property?

• 4m + 52

• 4m + 13

• 4m + 4

• 4 + 13m

What is the result of 6(2m + 7) using the distributive property?

• 12m + 42

• 6m + 7

• 12m + 7

• 6m + 42