5
QuizMultiple Choice

Factoring Expressions — Quiz

Question 5 • Grade 7 Mathematics

The perimeter of a square is 80 minus 64 y units. Which expression can be used to show the side length of one side of the square?

Answer
A
16 y open paren 5 minus 4 close paren : Each side measures 5 minus 4 units.
B
4 y open paren 20 minus 16 close paren : Each side measures 20 minus 16 units.
C
4 times open paren 20 minus 16 y close paren : Each side measures 20 minus 16 y units.
D
16 times open paren 5 minus 4 y close paren : Each side measures 5 minus 4 y units.

Explanation

A square has four equal sides, so divide its perimeter by 4: (80 − 64y) ÷ 4 = 20 − 16y. Therefore, the side length is 20 − 16y units, shown by choice C. The other expressions either do not divide the perimeter by 4 or omit the variable y from the side length.

AI-written and checked against the verified answer.

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