Question

1. justify conclusions determine if the statement is true or false. justify your response. to solve an equation with variables on each side, such as -9 + 3x = 8x + 6, you always first need to add or subtract the variable terms from each side.

Explanation:

The statement claims you always must first manipulate variable terms to solve equations with variables on both sides. However, you can first manipulate constant terms instead. For the given equation $-9 + 3x = 8x + 6$, you could start by adding 9 to both sides (a constant term operation) before handling variables, which is a valid first step. Since there is an alternative valid first step, the "always" condition makes the statement false.

Answer:

False. You can first manipulate constant terms (e.g., add 9 to both sides of $-9 + 3x = 8x + 6$) instead of starting with variable terms, so the "always" requirement is incorrect.