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MA.912.AR.4.1 · Non-linear Relationships

Writing and Solving Absolute Value Equations: Sample Algebra 1 EOC Questions

An absolute value equation usually has two solutions, because the expression inside the bars can be positive or negative. Students isolate the absolute value first, split into two cases, and solve each.

How the Algebra 1 EOC tests this benchmark

The EOC restricts these to the forms d equals the absolute value of ax plus b plus c, or d equals a times the absolute value of x plus b plus c, with rational values. Isolating the absolute value before splitting is the step that separates correct answers from the distractors. A case where the isolated absolute value equals a negative has no solution, and that outcome is fair game.

Skills students need

  • Isolate the absolute value expression
  • Split into a positive and a negative case
  • Solve both cases and check them
  • Recognize an equation with no solution

Try 6 real MA.912.AR.4.1 questions

These come straight from Algebro's Algebra 1 question bank, easiest first. Answer one, check it, then move to the next.

Question 1 of 6

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Question 1EasyMultiple Choice
Four equations are shown. Which equation has NO solution?

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MA.912.AR.4.1: Absolute Value Equations Practice | Algebro