topic badge

5.08 Absolute value equations

Interactive practice questions

How many solutions will the equation $\left|x\right|=a$|x|=a, where $a$a is a positive number, always have?

Easy
< 1min

Solve the equation $\left|x\right|=8$|x|=8.

Write both solutions as equations on the same line separated by a comma.

Easy
< 1min

Solve the equation $9\left|x\right|=4$9|x|=4.

Write both solutions as equations on the same line separated by a comma.

Easy
1min

What is/are the solution(s) to the absolute value equation $\left|x\right|=-8$|x|=8?

Easy
< 1min
Sign up to access Practice Questions
Get full access to our content with a Mathspace account

Outcomes

A2.6.C

Analyze the effect on the graphs of f(x) = |x| when f(x) is replaced by af(x), f(bx), f(x-c), and f(x) + d for specific positive and negative real values of a, b, c, and d;

A2.6.D

Formulate absolute value linear equations

A2.6.E

Solve absolute value linear equations

What is Mathspace

About Mathspace