20
QuizMultiple Choice

Linear Equations — Test

Question 20 • Mathematics 8

Which is a reasonable first step that can be used to solve the equation 2 times open paren x plus 6 close paren is equal to 3 times open paren x minus 4 close paren plus 5 ?

Answer
A
Apply the subtraction property of equality to move the 6 from the left side of the equation to the right side.
B
Distribute 2 to x on the left side of the equation and 3 to x on the right side of the equation.
C
Combine like terms, 3 and 5 , on the right side of the equation.
D
Distribute 2 to open paren x plus 6 close paren and 3 to open paren x minus 4 close paren .

Explanation

A reasonable first step is to use the distributive property on both sides: 2(x + 6) becomes 2x + 12, and 3(x − 4) becomes 3x − 12. The equation then reads 2x + 12 = 3x − 12 + 5. Choice D correctly says to distribute 2 and 3 to every term inside their respective parentheses.

AI-written and checked against the verified answer.

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