Distributive Property and Simplification

The video tutorial covers the use of the distributive property to simplify mathematical expressions. It begins with an introduction to the concept, followed by several examples demonstrating how to simplify expressions with and without variables. The tutorial emphasizes the importance of combining like terms and provides step-by-step guidance on distributing factors across terms within parentheses. Each example builds on the previous one, gradually increasing in complexity, and concludes with a challenge for the viewer to solve independently.

What is the main goal when using the distributive property in expressions?

• To expand the expression

• To solve the equation

• To simplify the expression

• To factor the expression

What should you do if the factor is on the right side of the parentheses?

• Move the factor to the left

• Add the factor to the expression

• Distribute the factor as usual

• Ignore the factor

In the expression 3x + 7 + 9, what is the first step in simplification?

• Combine like terms

• Distribute the factor 9

• Multiply 3x by 9

• Add 7 and 9

After distributing in 3x + 7 + 9, what is the next step?

• Combine 6x with 14

• Add 14 and 18

• Subtract 14 from 18

• Multiply 6x by 18

What is the result of 7.5 times 3?

• 21

• 22.5

• 25.5

• 24

How do you simplify 7.5 x 3 and 7.5 x 6?

• Add the results

• Divide the results

• Multiply the results

• Subtract the results

What is the simplified form of 6 times x + 6 20's?

• 6x + 6

• 6x + 60

• 6x + 20

• 6x + 120

Why can't 6x and 120 be combined?

• They are both variables

• They are both constants

• One is a variable, the other is a constant

• They are in different equations

What is the result of two sixes and two negative fours?

• 16

• 12

• 4

• 8

How do you handle two sixes and two negative fours?

• Add them directly

• Multiply them together

• Divide them

• Subtract the negatives from the positives