Absolute Value Equations and Inequalities

Front

What is the definition of absolute value?

Back

The distance of a number from zero.

Front

Solve the equation: |2a - 10| = 6

Back

a = 8, a = 2

Front

What does the inequality |x| ≤ 3.5 represent?

Back

-3.5 ≤ x ≤ 3.5

Front

Solve the equation: |v + 8| − 5 = 2

Back

{-1, -15}

Front

Evaluate the expression: |x + 9| = -5

Back

no solution

Front

What is the absolute value of -7?

Back

7

Front

If |x| = 4, what are the possible values of x?

Back

x = 4 or x = -4

Front

What is the solution set for |x| > 2?

Back

x < -2 or x > 2

Front

How do you solve an absolute value equation?

Back

Isolate the absolute value expression and set up two equations.

Front

What is the graphical representation of |x|?

Back

A V-shaped graph that opens upwards with the vertex at the origin.