Linear Equations In Two Variables: SAT Practice Questions

130 official Linear Equations In Two Variables 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 Two Variables test on the SAT?

These questions connect equations, graphs, tables, slope, and intercepts for lines in the coordinate plane. You may need to create or interpret a linear model with two variables.

Common question types

Find slope or an intercept
Write an equation for a line
Interpret a point, rate, or coefficient in context

Common traps

Reversing rise and run
Confusing the x-intercept with the y-intercept
Ignoring units when interpreting slope

Difficulty distribution

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

Easy: 56
Medium: 41
Hard: 33
Extreme: 0

Start here

FoundationQuestion 20Easy SAT question IntermediateQuestion 41Medium SAT question ChallengeQuestion 108Hard SAT question

How do I improve at Linear Equations In Two Variables?

1Identify two reliable points or the rate and initial value.
2Translate among table, graph, and equation forms deliberately.
3Attach contextual units to every slope and intercept interpretation.

Desmos method

Graph the equation and inspect points, intercepts, or a second line. For a table, enter the x- and y-values and use a regression such as y_1 ~ mx_1 + b when a best-fit line is requested.

All 130 official questions

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