Answers Grade 7 Mathematics Factoring Expressions — QuizQuestion 3

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Factoring Expressions — Quiz

Question 3 • Grade 7 Mathematics

An equilateral triangle has a perimeter of 12 x plus 18 units. Which expression can be used to show the length of one side of the triangle?

Answer

A

x times open paren 12 plus 18 close paren : Each side length is 12 plus 18 units.

B

3 times open paren 4 x plus 6 close paren : Each side length is 4 x plus 6 units.

C

6 times open paren 2 x plus 3 close paren : Each side length is 2 x plus 3 units.

D

2 times open paren 6 x plus 9 close paren : Each side length is 6 x plus 9 units.

Explanation

An equilateral triangle has three equal sides, so divide its perimeter by 3 to find one side: (12x + 18) ÷ 3 = 4x + 6. Choice B shows this relationship as 3 times (4x + 6), which equals the perimeter.

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