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 9

|x - 3| = 5. Find all possible values of x.

If |ax + b| = c, where c > 0, what are the solutions for x?

If |x - 7| = 2, what are the possible values of x?

If |x - a| = 0, what is the value of x?

If |x + b| < c, where c > 0, what is the solution set for x?

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

If |x| = a, where a > 0, what are the solutions for x?

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

Solve for x: |2x + 3| ≤ 7.

Solve for x: |3x + 2| = 8.

Solve for x: |4x - 8| > 12.

Solve for x: |5 - x| = 12.

Solve for x: |x + 5| < 2.

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

Solve for x: |x/3| ≥ 2.

Solve the equation |x| = 7.

Solve the inequality |x - 4| ≥ 3.

Solve the inequality |x| < 6.

What is the definition of the absolute value of a number?

A number y satisfies the inequality |2y - 1| ≤ 3. What is the range of possible values for y?