2
practice testMultiple Choice

Practice Test

Question 2 • Mathematics 8

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

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

Explanation

A good first step is to distribute the factors outside the parentheses: 3(x + 2) becomes 3x + 6, and 5(2x − 3) becomes 10x − 15. This removes the parentheses so the like terms can be combined afterward. Therefore, the reasonable first step is to distribute 3 and 5.

AI-written and checked against the verified answer.

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