Absolute Value Equations & Inequalities

Front

Solve the equation: |−4 + 5x| = 16

Back

{-12/5, 4}

Front

Solve the equation: |v + 8| − 5 = 2

Back

{-1,-15}

Front

Solve the inequality: | x + 3 | ≤ 2

Back

-5 ≤ x ≤ -1

Front

| 2x + 12 | < 8

Which is the correct first step?

Options: 2x + 12 < 8 and 2x+12 > -8, 2x + 12 < 8 or 2x+12 > -8, 2x + 12 < 8 and 2x+12 < -8, 2x + 12 < 8 or 2x+12 < -8

Back

2x + 12 < 8 and 2x+12 > -8

Front

What is the correct first step? Options: divide by 10, multiply by 10, make it two inequalities with an "or", make it two inequalities with an "and"

Back

multiply by 10

Front

4|5x-2|+7>39

Back

x<-6/5 or x>2

Front

Solve the equation: −2|−2r − 4| = -12

Back

{-5, 1}

Front

What's a way to define absolute value?

Back

The distance of a number from zero

Front

Why is absolute value always written as a positive?

Back

Absolute value is talking about distance, distance is always measured by positive numbers.

Front

Extraneous solution

Back

An apparent solution that must be rejected because it does not satisfy the original equation