SAT MathAlgebra10 Questions~13 min

SAT Linear Functions Questions — Practice with Answers

Practice SAT-style Linear Functions questions from the Algebra section of the SAT Math module. Every question includes a detailed explanation — select an answer, check it immediately, and understand exactly why the correct answer is right.

10
Questions
13m
Est. Time
All
With Explanations
5E/3M/2H
Difficulty Mix
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What These SAT Linear Functions Questions Cover

Topic Focus

Linear Functions — a key area of the Algebra section on the SAT.

Difficulty Range

5 Easy, 3 Medium, and 2 Hard questions — matching the real SAT distribution.

Instant Explanations

Every question includes a step-by-step explanation so you learn from every answer.

SAT Linear Functions Practice Questions

10 Questions
0 / 10 answered
1Easy

Which of the following represents a linear function?

2Easy

For the function f(x) = 3x - 4, what is f(5)?

3Easy

A linear function passes through (0, 3) and has a slope of 2. What is the equation?

4Easy

If f(x) = -x + 6, what is f(-2)?

5Easy

What is the y-intercept of the linear function y = 5x - 7?

6Medium

A taxi company charges a flat fee of 3.50plus3.50 plus 1.75 per mile. Which linear function represents the total cost C for m miles?

7Medium

The function f(x) = 4x + k passes through the point (3, 17). What is k?

8Medium

A phone plan costs 25permonthplus25 per month plus 0.10 per text message. Another plan costs $40 per month with unlimited texts. At how many texts per month do the plans cost the same?

9Hard

A linear function f satisfies f(2) = 7 and f(6) = 19. Which of the following is f(x)?

10Hard

A water tank contains 500 gallons and is draining at a constant rate. After 3 hours, it contains 320 gallons. After how many total hours will the tank be empty?

How to Master SAT Linear Functions

Understand the question type, not just the content

Every Linear Functions question on the SAT follows predictable patterns. Once you recognize the pattern, you can apply a systematic approach — even on questions you haven't seen before.

Always use process of elimination first

On the SAT, there are three definitively wrong answers and one correct one. Training yourself to find the wrong answers often leads you to the right one more reliably than looking for what 'sounds right'.

Review every explanation, even when correct

Understanding why an answer is right is as important as getting it right. Many Linear Functions questions have tricky wrong answers that students sometimes pick for the wrong reasons — even when they get it right.

Practice under time pressure once you understand the content

After you've learned the Linear Functions concepts, set a timer. Each SAT Math question should take roughly 1.2–1.5 minutes. Build speed after accuracy — never before.

Take the Full Linear Functions Practice Test

Ready for a complete practice test? Get all Linear Functions questions in one timed session — with a full score breakdown at the end.

Common Mistakes on SAT Linear Functions Questions

Not reading the full question

SAT Linear Functions questions are precisely worded. Missing a single word like "NOT" or "EXCEPT" can flip the entire question. Re-read every question after selecting your answer.

Answering from memory instead of the text

Don't try to use calculator shortcuts before understanding what the question is actually asking. Many Math errors come from solving the wrong equation.

Rushing past the explanation

Students who skip reviewing explanations after correct answers miss the second layer of learning. Understanding why each wrong answer is wrong is what separates 700-scorers from 800-scorers.

Giving up on hard questions too fast

Hard Linear Functions questions are hard by design — they're meant to take more time. A systematic approach (eliminate 2 wrong answers, then compare the remaining 2) works even when you're unsure.

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