ISEE Upper Level Word Problems: Inequalities Practice Test 16

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1. What is the maximum value for y if y = 3x2 + 2 for –3 ≤ x ≤ 2?

  • A. 29
  • B. 14
  • C. 7
  • D. –25

2. Which describes all values of x for which |3x – 4| ≥ 8?

  • A. x ≤ - or x ≥ 4
  • B. x or x ≤ -4
  • C. x
  • D. x ≥ 4

3. A solution set is graphed on the number line shown.

The solution set of which inequality is shown?

  • A. |x – 7| < 2
  • B. |x + 7| < 2
  • C. |x – 8| < 1
  • D. |x + 8| < 1

4. Which of the following expressions defines the values of x if –2x + 3 > 2x + 15?

  • A. x > –3
  • B. x > –4
  • C. x < –4
  • D. x < –3

5. Which of the following expressions solves 2zq < 3p + zq for z?

  • A. z < p
  • B. z < 3pq
  • C. z < 3p
  • D. z < 3p + q

6. Which of the following inequalities represents the graph shown below on the real number line?

  • A. –1 < x < 4
  • B. 0 ≤ x < 4
  • C. 0 < x ≤ 4
  • D. 0 ≥ x > 4