Linear Functions: SAT Practice Questions

170 official Linear Functions 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 Functions test on the SAT?

Linear Functions questions focus on constant rate of change, function notation, and how a line's equation or graph changes. They often ask for a value, rule, or interpretation rather than simply solving an equation.

Common question types

Evaluate or define a linear function
Compare rates of change
Describe a translation or parameter change

Common traps

Treating f(x) as multiplication
Confusing input and output values
Misreading how a coefficient changes slope or intercept

Difficulty distribution

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

Easy: 82
Medium: 56
Hard: 32
Extreme: 0

Start here

FoundationQuestion 3Easy SAT question IntermediateQuestion 16Medium SAT question ChallengeQuestion 155Hard SAT question

How do I improve at Linear Functions?

1Translate function notation into input-output language.
2Find the constant change before choosing a formula.
3Check the rule with a known point from the graph, table, or context.

Desmos method

Graph the function and use point evaluation, intersections, or sliders for unknown parameters. A table is often the fastest way to compare outputs at specified inputs.

All 170 official questions

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