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SAAT (English)

Mathematics: sample 8

These questions are ETEC/Qiyas's own officially published trial-exam questions, shown here with attribution. They are not sold and are not part of Smart Advanced Network for Education, Development & Achievement's original question bank.
Directions

Read the following questions. Choose the right answer.

There is only ONE correct answer to each question.

The solution set of the equation |x−2| = 2−x is:

  1. (−∞, 2]
  2. (−∞, 4]
  3. [0, 2]
  4. [0, 4]
Show answer

Correct answer: A. (−∞, 2]

Why

|x−2| = 2−x requires 2−x ≥ 0 (i.e. x ≤ 2), and for x ≤ 2, |x−2| = 2−x is automatically true — so the solution set is all x ≤ 2, i.e. (−∞, 2].

Source: The Standardized Academic Achievement Test (SAAT) for the Science Track Trial Test (ETEC official) Open the official document

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