Absolute Value EquationsATI TEAS 7 cheat sheet

Two cases every time

5 key facts 4 practice questions Reviewed Oct 2026

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The Setup

|x| = a gives x = a OR x = −a
Isolate the bars before splitting

Worked

|x − 3| = 5 → x − 3 = 5 or x − 3 = −5 → x = 8 or −2

No Solution

|x| = a negative number has no solution — distance is never negative

Check

Substitute both answers into the original

Key takeaway

Two cases every time

Before you read

Test yourself first: 4 questions

Question 1 of 4

What is the value of 2³?

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