Simplifying Expressions with the Distributive Property

This video tutorial explains the distributive property and demonstrates how to use it to simplify mathematical expressions. It begins with a definition and basic examples, showing how to distribute a factor across terms within parentheses. The tutorial progresses to more complex examples, illustrating how to combine like terms after distribution. The video concludes with a summary of the process and its applications in creating equivalent expressions.

What is the formula for the distributive property?

• A(B * C) = AB * AC

• A(B - C) = AB - AC

• A + (B + C) = (A + B) + C

• A(B + C) = AB + AC

What does the distributive property allow us to do?

• Create equivalent expressions

• Divide expressions

• Subtract expressions

• Multiply expressions only

How do you simplify 3(M + 5) using the distributive property?

• 15M + 5

• 8M

• 3M + 5

• 3M + 15

Which of the following is an application of the distributive property?

• Simplifying expressions

• Solving equations

• Graphing functions

• Determining probabilities

What is the simplified form of 2(6M + 7)?

• 18M + 14

• 12M + 7

• 8M + 7

• 12M + 14

Simplify 7(5 + 7B) using the distributive property.

• 42 + 49B

• 35B + 49

• 12 + 7B

• 35 + 49B

After applying the distributive property, what is 4(4n + 3) simplified to?

• 16n + 12

• 12n + 7

• 16n + 3

• 20n + 12

How do you simplify the expression 8(T + 9) using the distributive property?

• 8T + 9

• 17T

• 64T + 72

• 8T + 72

What is the result of simplifying the expression 4(2m + 3) + 6m + 5?

• 14m + 17

• 8m + 8

• 10m + 15

• 22m + 17

Simplify the expression 3m + 3(7) + m + 2.

• 7m + 23

• 4m + 23

• 3m + 22

• 4m + 22