Solve |2x - 5| = 9.

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Master 8th Grade FAST Mathematics. Explore multiple choice questions with hints, explanations, and solutions. Enhance your Pre-Algebra skills and confidently prepare for your test!

Multiple Choice

Solve |2x - 5| = 9.

Explanation:
When you see |2x - 5| = 9, the inside expression can be either 9 or -9 because absolute value makes the result nonnegative. So set up two scenarios: 2x - 5 = 9 and 2x - 5 = -9. Solving the first gives x = 7; solving the second gives x = -2. Checking confirms both work: for x = 7, 2x - 5 = 9, and |9| = 9; for x = -2, 2x - 5 = -9, and |-9| = 9. Therefore, the solutions are x = 7 and x = -2. Values like -7 or 2 don’t fit because they don’t make the inside equal to ±9, so the absolute value isn’t 9.

When you see |2x - 5| = 9, the inside expression can be either 9 or -9 because absolute value makes the result nonnegative. So set up two scenarios: 2x - 5 = 9 and 2x - 5 = -9. Solving the first gives x = 7; solving the second gives x = -2. Checking confirms both work: for x = 7, 2x - 5 = 9, and |9| = 9; for x = -2, 2x - 5 = -9, and |-9| = 9. Therefore, the solutions are x = 7 and x = -2. Values like -7 or 2 don’t fit because they don’t make the inside equal to ±9, so the absolute value isn’t 9.

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