SAT Math Practice
Linear Equations in One Variable

Solve for a single unknown in equations like 3x + 7 = 22. This is one of the most frequently tested skills on the Digital SAT Math section.

41 original linear equations in one variable questions in the SAT Ranker bank, with instant scoring and an Elo-based rank once you sign up. Below are a few free samples with full explanations.

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Sample question 1 · easy

If 6x - 8 = 58, what is the value of x?

66
-11
11
60

Add 8 on both sides to get 6x = 66, then divide by 6. The answer is 11. 66 stops after isolating 6x and never divides by 6; -11 gets the size right and the sign wrong; 60 subtracts the 6 instead of dividing by it.

Sample question 2 · hard

If x/3 + x/6 = 9, what is the value of x?

6
12
18
24

Multiply every term by 6: 2x + x = 54, so 3x = 54, giving x = 18.

Sample question 3 · easy

If 7x + 18 = -45, what is the value of x?

-63
9
-70
-9

Subtract 18 on both sides to get 7x = -63, then divide by 7. The answer is -9. -63 stops after isolating 7x and never divides by 7; 9 gets the size right and the sign wrong; -70 subtracts the 7 instead of dividing by it.

Sample question 4 · easy

If 3x - 1 = -28, what is the value of x?

-27
9
-30
-9

Add 1 on both sides to get 3x = -27, then divide by 3. The answer is -9. -27 stops after isolating 3x and never divides by 3; 9 gets the size right and the sign wrong; -30 subtracts the 3 instead of dividing by it.

Sample question 5 · easy

If 9x - 5 = 94, what is the value of x?

11
99
-11
90

Add 5 on both sides to get 9x = 99, then divide by 9. The answer is 11. 99 stops after isolating 9x and never divides by 9; -11 gets the size right and the sign wrong; 90 subtracts the 9 instead of dividing by it.

More topics
SAT Math skills
Linear Equations in Two VariablesLinear FunctionsLinear InequalitiesSystems of Linear EquationsEquivalent ExpressionsNonlinear Equations and SystemsNonlinear FunctionsRatios, Rates, Proportions, and UnitsPercentagesOne-Variable DataTwo-Variable DataProbabilitySample Statistics and Margin of ErrorEvaluating Statistical ClaimsRight Triangles and TrigonometryCirclesArea and VolumeLines, Angles, and Triangles