Exploring the Distributive Property and Like Terms

This video tutorial covers the distributive property and combining like terms to simplify expressions. It begins with a review of like terms, followed by methods to combine them. The tutorial then explains how to simplify expressions using these techniques, with examples provided. The distributive property is introduced, showing how to multiply terms within parentheses and combine results. The video concludes with practice problems for students to solve, reinforcing the concepts taught.

What is a like term?

• Terms that have the same constants

• Terms that have the same coefficients

• Terms that have different variables

• Terms that have the same variables

What should you do if you see a plain variable in an expression?

• Ignore it

• Add a two in front of it

• Add a zero in front of it

• Add a one in front of it

What happens to unlike terms when simplifying an expression?

• They get combined

• They stay as separate terms

• They get multiplied

• They get divided

In the expression 3x + 1x, what is the simplified form?

• 2x

• 1x

• 4x

• 3x

When rewriting an expression, in what order should variables and constants be arranged?

• Constants first, then variables

• Variables in alphabetical order, then constants

• Variables in reverse alphabetical order, then constants

• Constants in alphabetical order, then variables

What is the result of combining 9y and -11y?

• -2y

• 0y

• 20y

• 2y

What does a number next to parentheses indicate in an expression?

• Addition

• Division

• Subtraction

• Multiplication

What is the simplified form of -5 * 2x?

• -10x

• 10x

• -7x

• 7x

What is the result of 6 * -3?

• 18

• -18

• 9

• -9

What is the simplified form of 4 * -2x + 4 * 5y?

• -8x + 20y

• 8x - 20y

• 8x + 20y

• -8x - 20y