Absolute Value Equations and Inequalities

Math ⇒ Algebra

Absolute Value Equations and Inequalities starts at 9 and continues till grade 12. QuestionsToday has an evolving set of questions to continuously challenge students so that their knowledge grows in Absolute Value Equations and Inequalities. How you perform is determined by your score and the time you take. When you play a quiz, your answers are evaluated in concept instead of actual words and definitions used.

See sample questions for grade 11

Describe the steps to solve an absolute value equation of the form |ax + b| = c.

Explain why the equation |x + 1| = -3 has no solution.

Explain why the equation |x| = 0 has only one solution.

If |ax + b| = c, where c > 0, how many solutions does the equation have?

If |x + 2| ≥ 3, what is the solution set for x?

If |x| < a, where a > 0, what is the solution set for x?

Solve for x: |2x + 3| = 11.

Solve for x: |5 - x| = 2.

Solve for x: |x/2| = 3.

Solve the equation |2x - 5| = 9.

Solve the inequality |2x - 1| < 9.

Solve the inequality |3x + 1| ≥ 7.

Solve the inequality |x - 2| ≤ 4.

Solve the inequality |x + 4| > 2.

What is the solution to the equation |x| = 7?