2
QuizMultiple Choice

Solving Quadratic Equations: Factoring — Quiz

Question 2 • Algebra: Concepts and Connections

The area of a rectangular room is 750 square feet. The width of the room is 5 feet less than the length of the room. Which equations can be used to solve for y , the length of the room? Choose three correct answers.

Answer
A
750 minus y times open paren y minus 5 close paren is equal to 0
B
y squared minus 5 y is equal to 750
C
y times open paren y minus 5 close paren plus 750 is equal to 0
D
open paren y plus 25 close paren times open paren y minus 30 close paren is equal to 0
E
y times open paren y plus 5 close paren is equal to 750

Explanation

Let the length be y feet, so the width is y − 5 feet. Using area = length × width gives y(y − 5) = 750, which is choice C. Rearranging gives 750 − y(y − 5) = 0, as in choice A, or y² − 5y − 750 = 0; factoring gives (y + 25)(y − 30) = 0, as in choice B.

AI-written and checked against the verified answer.

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