Factoring Expressions and Triangle Area

The video tutorial covers solving a geometry problem involving a triangle's dimensions and area, followed by algebraic problems that require simplifying expressions and factoring. The instructor demonstrates how to find the base of a triangle using its area and height, and then moves on to reducing algebraic expressions to their simplest form by factoring and canceling terms.

What is the relationship between the height and base of the triangle in the problem?

• The height is 4 inches greater than twice the base.

• The height is 4 inches greater than the base.

• The height is half the base.

• The height is twice the base.

What is the formula for the area of a triangle?

• Base times height

• Base times height divided by 2

• Base minus height

• Base plus height

What is the base of the triangle if the area is 168 square inches?

• 12 inches

• 14 inches

• 16 inches

• 10 inches

What is the first step in reducing the expression in Problem 64?

• Factor the expression

• Divide the terms

• Add the terms

• Multiply the terms

What is the result of factoring the top expression in Problem 64?

• x + 2y squared

• x - 2y squared

• x + 2y

• x - 2y

What is the denominator after factoring in Problem 64?

• 3xy

• 3x squared

• 3x

• 3y

What pattern is identified in the denominator of Problem 65?

• A squared plus b squared

• A squared minus b squared

• A plus b squared

• A minus b squared

What is the result of factoring the top expression in Problem 65?

• 2x minus 1

• 2x plus 1

• 2x minus 3

• 2x plus 3

What is the final simplified form of the expression in Problem 65?

• 3 times x plus 1 over 2x minus 3

• 3 times x minus 3 over 2x plus 1

• 3 times x plus 3 over 2x minus 1

• 3 times x minus 1 over 2x plus 3

What assumption is made to cancel out terms in Problem 65?

• x equals 2y

• x does not equal 2y

• x does not equal minus 1/2

• x equals minus 1/2