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SAT · Math · Algebra

Linear Equations in One Variable on the Digital SAT: How to Answer These Questions

Whether you can write and solve one-variable linear equations, including ones from word problems.

By Hourly Prep Editorial TeamReviewed October 1, 2026

How to answer it

  1. Distribute and combine like terms on each side.
  2. Move variable terms to one side and constants to the other.
  3. Divide by the coefficient, then check by substituting.

Worked example

An original question in the SAT format, already answered.

SAT MathWorked example

4(x − 3) = 2x + 10

What value of x satisfies the equation?

  1. A7
  2. B11
  3. C13
  4. D22

Answer: B. Distribute: 4x − 12 = 2x + 10. Subtract 2x: 2x − 12 = 10. Add 12: 2x = 22, so x = 11. Check: 4(8) = 32 and 2(11) + 10 = 32.

The most common trap

Stopping at 2x = 22 and choosing 22. Finish the last step.

Practice it

Hourly Prep’s daily sets mix linear equations in one variable with the rest of SAT Math, and send more of it your way when it’s a weak spot. See how the SAT prep plan works, or browse the other SAT skill guides.

Primary sources

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Practice linear equations in one variable in 15 minutes a day.

Short SAT sets on the test-day screen, with an explanation for every question.

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