Algebra Concepts and Operations

This video tutorial helps students correct homework problems 6-106 through 6-110. It covers finding the perimeter and area of figures using algebra tiles, combining like terms, and representing fractions and percentages. The video also explains how to evaluate algebraic expressions with given values, emphasizing the importance of showing work for full credit.

What is the main purpose of this video tutorial?

• To correct homework problems 6-106 through 6-110

• To introduce new algebra concepts

• To discuss geometry

• To teach advanced calculus

What is the perimeter of a shape?

• The diagonal of the shape

• The volume of the shape

• The length of the outside edge

• The space inside the shape

How is the area of a square tile represented?

• x²

• x

• 1

• x³

What is the area of a shape made of one x² tile, one x tile, and one unit tile?

• x² + x + 1

• x² + 2x + 1

• x² + 1

• x + 1

How do you calculate the perimeter of a shape with algebra tiles?

• By adding the areas of all tiles

• By multiplying the number of tiles by 2

• By counting the number of tiles

• By adding the lengths of all outside edges

What is the perimeter of a shape with four x tiles and four unit tiles?

• 4x + 4

• 4x + 1

• 4x + 2

• x + 4

What is the result of combining two x² tiles and three x² tiles?

• 3x²

• 5x²

• 4x²

• 6x²

How many x tiles are there if you combine seven x tiles and one more x tile?

• 6x

• 7x

• 9x

• 8x

In what order should you write the terms when combining like terms?

• x term, x² term, unit term

• Unit term, x term, x² term

• x² term, x term, unit term

• x term, unit term, x² term

How can you represent 1 and 2/3 using an area model?

• Two wholes and 1/3 of another

• Two wholes and 2/3 of another

• One whole and 2/3 of another

• One whole and 1/3 of another