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SAT math practice — every question, two ways to win it

Eight SAT-style algebra questions. Pick an answer to reveal a full worked solution plus the Desmos route — because the digital SAT hands you a graphing calculator, and the dual-track habit (algebra + graph) is worth real points.

  • ✓Original questions in SAT style
  • ✓Every answer engine-verified
  • ✓Free — no sign-up

Score: 0 / 0answered of 8

Question 1Heart of Algebra · Linear equations

If 3(x − 2) + 5 = 16, what is the value of x − 2?

Question 2Heart of Algebra · Systems

2x + y = 11 and x − y = 4. What is the value of x?

Question 3Passport to Advanced Math · Quadratics

What is the larger solution of x² − 7x + 12 = 0?

Question 4Passport to Advanced Math · Functions

If f(x) = 2x² − 3x + 1, what is the value of f(3)?

Question 5Problem Solving & Data Analysis · Percents

A jacket originally priced at $80 is discounted by 25%. What is the sale price?

Question 6Passport to Advanced Math · Exponents

Which expression is equivalent to (x⁴)³?

Question 7Heart of Algebra · Slope

A line passes through (2, 3) and (6, 11). What is its slope?

Question 8Heart of Algebra · Rate problems

A train travels 240 miles at a constant speed of 60 miles per hour. How many hours does the trip take?

Missed one? That topic’s calculator (below) has a “One like it” practise mode — generate twins of the problem type until the method is automatic, then re-run this set.

SAT math practice — questions

Are these official SAT questions?

No — they are original questions written in SAT style, covering the same algebra domains (Heart of Algebra, Passport to Advanced Math, Problem Solving & Data Analysis). Official practice lives with the College Board and Khan Academy; this set is for drilling the underlying skills with full worked solutions.

What is the dual-track approach?

Every question here can be solved two ways: the algebra way and the Desmos way. The digital SAT gives you a built-in Desmos graphing calculator for the entire math section — so the fastest strategy is knowing both routes and picking per question. Each solution below shows the algebra; each tip shows the Desmos route.

How many questions are in the set?

Eight, growing over time. Quality over volume: each question has a verified worked solution (every answer on this page was checked with our own solver engine) and a Desmos strategy. More sets — including geometry and data analysis — are in development.

Can I use a calculator on the SAT math section?

On the digital SAT, yes — a graphing calculator (Desmos) is built into the test app for all math questions, and you may also bring an approved calculator. There is no longer a no-calculator section.

How should I practise with this set?

Answer before revealing: the set only shows the worked solution after you pick. When you miss one, redo it with the VerifySolve calculator for that topic (linked below) using “One like it” until the method is automatic — then come back and re-run the set.

Is this practice free?

Yes — completely free, no sign-up, no app. The worked solutions are never paywalled.

Keep solving

A note on honest use: this is a practice set — using worked solutions to learn is exactly what it is for. On the real test, only your own work counts; build the dual-track habit here so it is there when you need it.