Free SAT Math Solver
Paste any SAT Math question and see the full step-by-step working. Built for the digital SAT: Heart of Algebra, Problem Solving & Data Analysis, Passport to Advanced Math, and Additional Topics.
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An SAT Math question — worked step by step
Below is one fully worked example plus a short primer so you can see exactly how our AI reasons through a problem.
Example Problem
DEMO- 1
Expand the bracket
Distribute 2 across (x − 3), then combine constants.
- 2
Set equal to the right-hand side
- 3
Collect variables on one side, constants on the other
Subtract 2x from both sides and add 9 to both sides.
- 4
Divide to isolate x
- 5
SAT tip — verify by plugging back in
LHS: 2(4 − 3) + 5 = 2 + 5 = 7. RHS: 4(4) − 9 = 16 − 9 = 7. ✓ On the digital SAT, always plug your answer back in — it catches sign errors in under 10 seconds.
Final Answer
How to approach SAT Math — strategy and content breakdown
The digital SAT Math section tests four content domains. Heart of Algebra (roughly 35% of questions) covers linear equations, inequalities, and systems — usually in one or two variables with word-problem framing. Problem Solving & Data Analysis (28%) tests ratios, percentages, unit conversions, two-way tables, and interpreting data from charts. Passport to Advanced Math (28%) tests quadratics, exponents, radicals, polynomials and function notation — this is where most score improvement happens for students aiming for 700+. Additional Topics in Math (9%) covers geometry, trigonometry and complex numbers. Every question is either a multiple-choice or student-produced response, and you have the Desmos calculator built in — learn to use it for graphing linear systems, finding roots, and computing with messy numbers. The time pressure (about 95 seconds per question) makes it worth drilling the common algebraic shortcuts: back-solving from the answer choices, picking simple test values, and recognising which questions need the calculator vs which are faster by hand.
SAT Math questions to practise (digital SAT format)
Tap any problem to solve it with full step-by-step working.
- Solve with AI →
1. If 3x + 2y = 16 and y = 2x - 1, what is x?
Heart of Algebra — systemsSATEasy - Solve with AI →
2. A store marks up a $40 item by 35%, then offers 20% off. What is the final price?
Problem Solving & Data AnalysisSATMedium - Solve with AI →
3. Solve x^2 + 6x - 7 = 0
Passport to Advanced MathSATEasy - Solve with AI →
4. The function f(x) = 2x^2 - 12x + 5 has a minimum value. What is it?
Quadratic vertexSATMedium - Solve with AI →
5. In right triangle ABC, angle B = 90°, AB = 6, BC = 8. Find cos A.
Additional TopicsSATMedium
Frequently asked questions
What topics are on the SAT Math section?+
Four domains: Heart of Algebra (35%), Problem Solving & Data Analysis (28%), Passport to Advanced Math (28%), and Additional Topics (9%). Heart of Algebra and Advanced Math together are more than 60% of the test — that's where to focus your prep.
Can I use a calculator on the SAT?+
Yes — the digital SAT has a built-in Desmos calculator that's available on every math question. Use it for graphing linear systems, finding roots of a quadratic, and computing with large or awkward numbers. For simple arithmetic, mental math is faster.
How do I improve from a 600 to a 700+ on SAT Math?+
The jump usually comes from mastering Passport to Advanced Math — quadratics, exponents, radicals, polynomials, and function notation. Drill these until pattern recognition is instant, then practise recognising when to back-solve vs solve algebraically.
Does SolveGini show the Desmos-style solution?+
Yes. For graphable problems, the solver produces a Desmos-friendly expression alongside the algebraic solution, so you can verify visually and build intuition for how the function behaves — exactly the workflow the digital SAT rewards.
Is the SAT Math solver free to use?+
SolveGini has a free plan. Guests can try 1 solve per day with no signup. A free account unlocks 5 daily solves plus quizzes, SAT-format flashcards and the study planner. Full step-by-step working is always included on the free plan.
How is SolveGini different from Khan Academy for SAT prep?+
Khan Academy Official SAT Practice is great for structured lesson plans and full-length tests. SolveGini is the on-demand step-by-step solver for the specific problem you're stuck on — paste or photograph, get the working, understand it, move on. The two complement each other well.
Prep for the digital SAT — sign up on the free plan
Create a free account in 10 seconds: 5 daily solves, SAT-format quizzes, formula flashcards and a week-by-week study planner. No credit card needed.
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Related topics to master next
These solvers cover the exact topics that dominate SAT Math.
Algebra Solver
Heart of Algebra fundamentals — linear equations and function notation.
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Quadratic Equation Solver
Passport to Advanced Math depends on comfort with quadratics.
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System of Equations
SAT loves systems — substitution, elimination, and graphical methods.
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Inequality Calculator
Linear inequalities and systems of inequalities show up on every form.
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AP Calculus Solver
Next step after SAT for students aiming at STEM majors.
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