Absolute ValueATI TEAS 7 cheat sheet

Distance is never negative

9 key facts 4 practice questions Reviewed Oct 2026

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Definition

|x| is the distance from zero
Always zero or positive
|−6| = 6, |6| = 6

In Expressions

Treat the bars like parentheses — simplify inside first
|3 − 8| = |−5| = 5
−|−5| = −5 — the outside sign stays

Equations

|x| = 7 has two solutions: x = 7 or x = −7
|x| = −3 has no solution

In Context

Used for difference regardless of direction — temperature swings, elevation

Key takeaway

Distance is never negative

Before you read

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Question 1 of 4

What is the value of 2³?

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