Exploring Algebraic Expressions with Algebra Tiles

The video tutorial explains how to combine like terms using algebra tiles, including unit tiles, X tiles, and X squared tiles. The instructor demonstrates counting each type of tile to form algebraic expressions, providing two examples. The first example results in the expression 5x^2 + 7x + 6, while the second example results in 2x^2 + 10x + 9.

What is the main topic of the video?

• Graphing linear equations

• Solving quadratic equations

• Factoring polynomials

• Combining like terms using algebra tiles

How many x squared tiles are counted in the first example?

• 6

• 3

• 4

• 5

What is the algebraic expression for 5 x squared tiles?

• 5x

• 5x^2

• x^2 + 5

• 5 + x^2

How many x tiles are counted in the first example?

• 8

• 7

• 6

• 5

What is the algebraic expression for 7 x tiles?

• 7x^2

• 7x

• x + 7

• 7 + x

How many unit tiles are counted in the first example?

• 4

• 5

• 7

• 6

What is the final algebraic expression in the first example?

• 5x^2 + 7x + 6

• 5x + 7x^2 + 6

• 5x^2 + 6x + 7

• 5x + 6x^2 + 7

What is the final algebraic expression in the second example?

• 2x^2 + 10x + 9

• 2x + 10x^2 + 9

• 2x^2 + 9x + 10

• 2x^2 + 9 + 10x