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Absolute value Knowledge-Based Practice

Math · Number Sense & Operations · Math · Integers & Rational Numbers

5 Math practice questions on Absolute value. Questions that assess core concepts and understanding.

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Questions

  1. 1.

    Which of the following pairs of integers satisfies the condition ∣x+y∣<∣x∣+∣y∣|x + y| < |x| + |y|?

    • A) x=5x = 5 and y=3y = 3
    • B) x=−4x = -4 and y=−6y = -6
    • C) x=−7x = -7 and y=0y = 0
    • D) x=−8x = -8 and y=5y = 5
  2. 2.

    What is the product of all solutions to the equation ∣3x−5∣=4|3x - 5| = 4?

    • A) −1-1
    • B) 1
    • C) 103\frac{10}{3}
    • D) −3-3
  3. 3.

    How many integers satisfy the inequality ∣3−x∣≤4|3 - x| \le 4?

    • A) 7
    • B) 8
    • C) 9
    • D) 10
  4. 4.

    If aa and bb are integers such that ∣a∣=12|a| = 12 and ∣b∣=5|b| = 5, what is the minimum possible value of ∣a−b∣|a - b|?

    • A) 7
    • B) 0
    • C) 1
    • D) 17
  5. 5.

    What is the value of the expression ∣−15∣−∣−8+3∣+∣−6∣|-15| - |-8 + 3| + |-6|?

    • A) 4
    • B) 10
    • C) 26
    • D) 16

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