Absolute value inequalities Quiz
10 questions · easy to harder · Algebra 1 · score and step-by-step answers
How it works
- 10 questions, about 20 minutes (a timer counts down; you can hide it). Solve it right here: no sign-up.
- 5 questions have choices. For the others you type the answer: a number like 4, −2, 7/2 or 3.5, or for example x = 4, x = 2 or x = −3, (3, 5), 2x + 1. Use ^ for powers (x^2) and sqrt for √. Any form with the same value counts (7/2 = 3.5).
- One question at a time: Back, Next, Mark for review and the question list at the bottom. A calculator is on the screen.
- At the end: your percent and grade, every question right or wrong, why a wrong choice is wrong, and its step-by-step solution. Then practise the lesson with new questions.
Your answers and results are kept in this browser only, so you can close the page and come back.
1 Question 1
Solve |x| >= 2- A) x ≤ −2
- B) x ≤ 2 or x ≥ 2
- C) x ≤ −2 or x ≥ 2
- D) x ≤ 2 or x ≥ −2
2 Question 2
Solve |x + 1| >= 4Type the answer.
3 Question 3
Solve |x + 3| > 2- A) x < 5 or x > −1
- B) x < −5 or x > −1
- C) x < 5 or x > 1
- D) x < −5
4 Question 4
Solve |3x + 3| > 6Type the answer.
5 Question 5
Solve |x + 4| − 1 >= 3- A) x ≥ 0
- B) x ≤ −8
- C) x ≤ −8 or x ≥ 0
- D) x ≤ 8 or x ≥ 0
6 Question 6
Solve |2x + 5| >= 1Type the answer.
7 Question 7
Solve |5x| > 10- A) x < 2 or x > 2
- B) x < −2
- C) x < 2 or x > −2
- D) x < −2 or x > 2
8 Question 8
Solve |1 − 2x| > 7Type the answer.
9 Question 9
Solve 4|x| − 3 > 9- A) x < −3
- B) x < 3 or x > 3
- C) x < −3 or x > 3
- D) x < 3 or x > −3
10 Question 10
Solve |x2 − 1| > 3Type the answer.