Mastering Algebra Tiles and Like Terms

Mr. Buffington introduces algebra tiles as a visual tool for understanding integers and variables. He demonstrates basic operations like addition and subtraction using these tiles, emphasizing the concept of additive inverses. The lesson progresses to using variable tiles for algebraic expressions, showing how to combine integers and variables. The video concludes with practice questions to reinforce the concepts of cancellation and joining like terms.

What colors are used to represent positive and negative numbers in algebra tiles?

• Yellow for positive, blue for negative

• Red for positive, green for negative

• Green for positive, red for negative

• Blue for positive, yellow for negative

How do you represent the operation 5 - 3 using algebra tiles?

• 5 negatives and 3 negatives

• 5 negatives and 3 positives

• 5 positives and 3 negatives

• 5 positives and 3 positives

What is the result of -5 + 3 using algebra tiles?

• 2

• 0

• -2

• -8

What fundamental truth in math is demonstrated by adding a number and its opposite?

• They always result in a positive number

• They always result in a negative number

• They always result in zero

• They always result in the larger number

What is the term used to describe numbers that cancel each other out?

• Subtractive inverses

• Additive inverses

• Multiplicative inverses

• Divisive inverses

How is the variable tile represented in algebra tiles?

• A small square labeled with a number

• A large square labeled with a number

• A large rectangle labeled with a variable

• A small rectangle labeled with a variable

What is the result of 6x - x using algebra tiles?

• x

• 6x

• 5x

• 7x

In the expression 4a - 5a, what is the final result using algebra tiles?

• -a

• 0

• 5a

• a

What is the result of the expression 3x + 4 - 5x using algebra tiles?

• -2x - 4

• 2x - 4

• -2x + 4

• 2x + 4

In the final example, what is the result of combining 2 negative x's, 1 positive x, 3 negative numbers, and 5 positive numbers?

• -x - 2

• x + 2

• x - 2

• -x + 2