Praxis 5003 Practice Question
(2x + 3y - 7) - (2x - 3y - 8) Which of the following is equivalent to the preceding expression?
Correct Answer: C
Rationale: To simplify the expression (2x + 3y - 7) - (2x - 3y - 8), start by distributing the negative sign: (2x + 3y - 7) - 2x + 3y + 8. Next, combine like terms. The 2x terms cancel out, leaving 3y + 3y - 7 + 8, which simplifies to 6y + 1.
Option A (1) ignores the variable component. Option B (-15) miscalculates the constant terms. Option D (6y - 15) incorrectly combines the constants. Thus, the expression simplifies accurately to 6y + 1, capturing both the variable and constant components correctly.
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