Linear Equations in One Variable - Free SAT Math Practice Questions

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.

89 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.

Sample question 1 · hard

The line through points (2, 5) and (6, 13) has what slope?

✓ 2

Slope = (13 − 5) / (6 − 2) = 8 / 4 = 2.

Sample question 2 · hard

If 7x + 19 = 89, what is the value of x?

-10

✓ 10

Subtract 19 from both sides: 7x = 70. Divide by 7: x = 10.

Sample question 3 · hard

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

-11

✓ 11

Subtract -8 from both sides: 6x = 66. Divide by 6: x = 11.

Sample question 4 · hard

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

✓ 18

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

Sample question 5 · medium

If 4x - 20 = -68, what is the value of x?

-11

✓ -12

-13

Subtract -20 from both sides: 4x = -48. Divide by 4: x = -12.