Factoring Word Problems

Front

What is the area of a rectangle?

Back

The area of a rectangle is calculated by multiplying its length by its width. Formula: Area = Length × Width.

Front

How do you factor a quadratic expression?

Back

To factor a quadratic expression of the form ax² + bx + c, find two numbers that multiply to ac and add to b. Rewrite the expression using these numbers.

Front

What is the factored form of the expression k² - 2k - 24?

Back

(k + 4)(k - 6)

Front

If the length of a rectangle is (x + 7) and the width is (3x + 2), what is the expression for the area?

Back

Area = (x + 7)(3x + 2) = 3x² + 23x + 14 square inches.

Front

What is the area of a rectangle with an area of 25x² - 81?

Back

The area can be factored as (5x - 9)(5x + 9).

Front

What is the formula for the area of a rectangle?

Back

Area = Length × Width.

Front

What does it mean to solve a word problem involving area?

Back

It means to translate the problem into mathematical expressions and equations to find the dimensions or area.

Front

What is the width of a rectangle if the area is 5X² - 17X + 6 and the length is X - 3?

Back

The width is 5X - 2.

Front

What is the significance of factoring in solving area problems?

Back

Factoring helps to simplify expressions and find dimensions of shapes, making it easier to solve for unknowns.

Front

What is the first step in solving a rectangle area problem?

Back

Identify the length and width from the problem statement.