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: |v + 8| − 5 = 2

Back

v = -1 or v = -15.

Front

Solve the inequality: |b-8| + 10 > 22

Back

b < -4 or b > 20.

Front

Solve the equation: −2|−2r − 4| = -12

Back

r = -5 or r = 1.

Front

Solve the inequality: 4|5x-2| + 7 > 39

Back

x < -6/5 or x > 2.

Front

What does the absolute value of a number represent?

Back

The non-negative value of the number regardless of its sign.

Front

If |x| = a, what can be said about x?

Back

x = a or x = -a.

Front

What is the graphical representation of an absolute value function?

Back

A V-shaped graph that opens upwards.

Front

How do you solve an absolute value equation?

Back

Isolate the absolute value expression and set up two separate equations.

Front

What is the solution set for |x| < a?

Back

-a < x < a.