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SAT · Math · Algebra

Linear Equations in Two Variables on the Digital SAT: How to Answer These Questions

Whether you can write and use two-variable linear equations, including reading their graphs.

By Hourly Prep Editorial TeamReviewed October 1, 2026

How to answer it

  1. Write the equation from the words: price times quantity for each item.
  2. Substitute the value you’re given.
  3. Solve for the other variable and check it makes sense.

Worked example

An original question in the SAT format, already answered.

SAT MathWorked example

Student tickets cost $8 and adult tickets cost $12. A group spent exactly $96 and bought 6 student tickets.

How many adult tickets did the group buy?

  1. A3
  2. B4
  3. C6
  4. D8

Answer: B. 8(6) + 12a = 96, so 48 + 12a = 96 and 12a = 48, which gives a = 4.

The most common trap

Dividing the total by one price. Account for both kinds of tickets first.

Practice it

Hourly Prep’s daily sets mix linear equations in two variables 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

Keep going

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Linear Inequalities

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Read the guide →

Practice linear equations in two variables in 15 minutes a day.

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

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