Linear Equations In One Variable: SAT Practice Questions

112 official Linear Equations In One Variable questions (Algebra) from the SAT Suite Question Bank. Pick any question from the list, or start with Question 1. Every question shows the answer and a full explanation, with step-by-step Desmos solutions available for most questions. It is free, and no account is needed.

Start with Question 1

What does Linear Equations In One Variable test on the SAT?

These questions model or solve relationships with one unknown and a constant rate of change. They test equation setup, equivalent transformations, and interpretation of the solution in context.

Common question types

Solve a linear equation
Build an equation from a word problem
Determine when an equation has one, zero, or infinitely many solutions

Common traps

Distributing a negative sign incorrectly
Solving correctly but reporting the wrong quantity
Treating a no-solution or identity equation as a numeric answer

Difficulty distribution

Start with the easier questions, then work toward the highest score bands.

Easy: 64
Medium: 28
Hard: 20
Extreme: 0

Start here

FoundationQuestion 3Easy SAT question IntermediateQuestion 68Easy SAT question ChallengeQuestion 107Hard SAT question

How do I improve at Linear Equations In One Variable?

1Define the variable and its units before writing an equation.
2Keep both sides balanced through each operation.
3Substitute the result into the original relationship and answer the question asked.

Desmos method

Enter the left and right sides as separate functions, such as y = left side and y = right side. Their intersection's x-coordinate is the solution; parallel lines show no solution and identical lines show infinitely many.

All 112 official questions

In the same order as the list on the left. Each one opens in practice mode.