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SAT Mathematics Questions

Practice individual questions with worked solutions, Desmos tricks, and conceptual explanations.

Linear Equations & Systemsmedium Difficulty
Time Target: 45s

SAT Linear Equations Practice Question

In the system of equations below, k is a constant: 3x - 6y = 12 kx - 8y = 16 If the system has infinitely many solutions, what is the value of k?

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Quadratic & Nonlinear Equationshard Difficulty
Time Target: 65s

SAT Quadratic Vertex Practice Question

For the quadratic function f(x) = 2x^2 - 12x + k, the graph has a vertex at (h, -5). What is the value of constant k?

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Problem-Solving & Data Analysismedium Difficulty
Time Target: 50s

SAT Weighted Average Mixture Question

A chemist prepares a solution by mixing 40 mL of a 15% acid solution with 60 mL of a 35% acid solution. What is the concentration of acid in the resulting mixture?

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