Solving One-Step EquationsATI TEAS 7 cheat sheet

Undo with the opposite

8 key facts Reviewed Oct 2026

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The Principle

Do the same thing to both sides
Use the inverse operation to isolate the variable
Addition undoes subtraction; multiplication undoes division

Worked

x + 7 = 12 → subtract 7 → x = 5
x / 4 = 3 → multiply by 4 → x = 12
−3x = 15 → divide by −3 → x = −5

Check

Substitute your answer back into the original equation

Signs

Dividing by a negative flips the sign of the answer, not the equals sign

Key takeaway

Undo with the opposite

Signs & symptoms

Dividing by a negative flips the sign of the answer, not the equals sign

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