Solve |2x - 5| = 9.

Unlock all questions

This demo includes only 20 questions. Upgrade to access hundreds of questions, flashcards, exam simulations, and disable ads.

Full question bankExam simulationsFlashcards
From $9.99Unlock all

Study for the 8th Grade FAST Mathematics Pre-Algebra Test. Enhance your skills with interactive flashcards and multiple choice questions, each containing hints and explanations to boost your comprehension and readiness for the exam. Get ready to ace 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.

More Multiple Choice Questions
Subscribe

Get the latest from Examzify

You can unsubscribe at any time. Read our privacy policy