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Absolute Value (Easy)

AMC 10 Q1–8 depth — contest entry, not school drills.

EasyMediumHardAIME / USAJMO / AMO

Absolute Value: core idea

Definition.

Example problem: hint and answer

Find ∣−7∣|{-7}|.

Hint: Absolute value is distance from zero. Answer: 7.

Practice (9 problems — type your answers)

  • 1. Solve ∣x∣=5|x|=5 for positive xx.

  • 2. Find ∣3−8∣|3-8|.

  • 3. Solve ∣x−2∣=0|x-2|=0.

  • 4. Find ∣−4+1∣|-4+1|.

  • 5. Solve ∣x+3∣=2|x+3|=2 for the larger xx.

  • 6. Find ∣2∣+∣−5∣|2|+|-5|.

  • 7. Solve ∣x∣=0|x|=0.

  • 8. Find ∣6−6∣|6-6|.

  • 9. Find the distance between −2-2 and 55 on a number line.

Absolute Value Practice Problems — Easy