SAT quadratic & nonlinear practice questions

SAT Math practice · SAT quadratic & nonlinear practice questions

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Pick an answer to get instant feedback and the full worked explanation. These are real questions from the ExamNexus AI bank — the same style, length, and difficulty as the digital SAT.

Registered students practice this skill from a bank of thousands of questions, with adaptive difficulty, instant scoring, and an explanation for every answer.

How the SAT tests this skill

The SAT tests quadratics from every angle: factoring, the quadratic formula, vertex form for max/min word problems, and the discriminant for how many solutions exist. High scorers know which form of a parabola's equation exposes which feature — factored form shows the x-intercepts, vertex form the maximum, standard form the y-intercept.

Projectile and revenue word problems are the most common disguise. The question "what is the maximum height" is always a vertex question, never a calculus one.

• Factoring and the quadratic formula
• Vertex form and max/min word problems
• The discriminant and number of real solutions
• Exponential vs. quadratic growth in context

Keep practicing

More free SAT Math practice questions:

• SAT linear equations practice questions
• SAT systems of equations practice questions
• SAT geometry & trigonometry practice questions

Or step back for the bigger picture: all SAT Math skills, our guide to SAT practice that actually works, and the full SAT preparation roadmap.

Upcoming SAT test dates

Plan backwards from your test date: most students want 8–12 weeks of practice before sitting the exam.

Dates are synced from College Board's published schedule; always confirm deadlines at satsuite.collegeboard.org before registering.