SAT Math Problem Solver

Verify your SAT practice answers. Evaluate linear equations, expand algebraic expressions, and simplify complex polynomials instantly.

Mastering the SAT Math Section

The SAT Math section is designed to test your fluency in essential mathematical concepts that are fundamental for college readiness and career success. Unlike traditional memorization exams, the SAT heavily emphasizes problem-solving, mathematical modeling, and strategically applying algebraic concepts to real-world scenarios. The test is officially divided into three primary domains of mathematics.

Diagram showing the breakdown of SAT Math sections: Heart of Algebra, Passport to Advanced Math, and Problem Solving

1. Heart of Algebra

This section constitutes roughly a third of the math test. It focuses exclusively on linear equations, linear inequalities, and functions. You must be able to fluently solve for variables (e.g., \( 3x - 5 = 10 \)), create linear equations from word problems, and understand how graphs relate to algebraic equations. Mastery of slope (\( y = mx + b \)) and y-intercepts is non-negotiable.

2. Passport to Advanced Math

This domain tests your readiness for higher-level calculus and statistics. It involves nonlinear equations, specifically quadratic and exponential functions. You will be expected to factor polynomials, utilize the quadratic formula, rewrite complex expressions, and manipulate radicals and rational exponents seamlessly.

3. Problem Solving and Data Analysis

This area focuses entirely on quantitative literacy. Questions here ask you to calculate percentages, analyze ratios and proportions, and interpret complex data presented in scatterplots, bar graphs, and two-way tables. It heavily tests your ability to synthesize statistics and probability in real-world contexts.

Frequently Asked Questions

Are calculators allowed on the SAT Math section? +

With the transition to the Digital SAT, a built-in graphing calculator (Desmos) is fully available for the entire math section. However, bringing your own approved physical calculator is also highly recommended as a backup.

Is there a guessing penalty on the SAT? +

No. The College Board eliminated the guessing penalty (the deduction of fractional points for incorrect answers). You should never leave a question blank on the SAT; always make an educated guess if you run out of time.

What is the best way to study for SAT Math? +

The most effective strategy is targeted practice. Identify your weakest domains (e.g., quadratics or data analysis) and focus on understanding the fundamental logic rather than just memorizing formulas. Use our solver tool above to verify your algebraic steps during practice.