SAT Practice Questions

Browse free SAT practice questions across Reading, Writing, and Math. Each one opens a study page with the full prompt and worked solution.

SSQB Nonlinear functions — Hard

Math•Q66
\(p (t) = 90,000 (1.06)^{t}\) The given function \(p\) models the population of Lowell \(t\) years after a census. Which of the following f…
Math•Q17
\(f (x) = 4 x^{2} + 64 x + 262\) The function \(g\) is defined by \(g (x) = f (x + 5)\). For what value of \(x\) does \(g (x)\) reach its m…
Math•Q52
The function \(f\) is defined by \(f (x) = a \sqrt{x + b}\), where \(a\) and \(b\) are constants. In the xy -plane, the graph of \(y = f (x…
Math•Q40
In the xy -plane, a parabola has vertex \((9, - 14)\) and intersects the x -axis at two points. If the equation of the parabola is written …
Math•Q53
The table shows three values of \(x\) and their corresponding values of \(y\), where \(y = f (x) + 4\) and \(f\) is a quadratic function. W…
Math•Q39
Which of the following functions has(have) a minimum value at \(- 3\)? I. \(f (x) = - 6 (3)^{x} - 3\) II. \(g (x) = - 3 (6)^{x}\)
Math•Q20
\(g (x) = \frac{x^{2} - x - a}{x^{3} - x - b}\) The function \(g\) is defined by the given equation, where \(a\) and \(b\) are constants. I…
Math•Q24
Function \(f\) is defined by \(f (x) = - a^{x} + b\), where \(a\) and \(b\) are constants. In the xy -plane, the graph of \(y = f (x) - 15\…
Math•Q11
\(f (x) = (x - 44) (x - 46)\) The function \(f\) is defined by the given equation. For what value of \(x\) does \(f (x)\) reach its minimum?
Math•Q76
The function \(g\) is defined by \(g (x) = x (x - 2) (x + 6)^{2}\). The value of \(g (7 - w)\) is \(0\), where \(w\) is a constant. What is…
Math•Q37
Moving from left to right: The curve passes from quadrant 2 to quadrant 1 to quadrant 4. In quadrant 2, the curve trends down gradually to …
Math•Q63
\(f (x) = 272 (2)^{x}\) The function \(f\) is defined by the given equation. If \(h (x) = f (x - 4)\), which of the following equations def…
Math•Q71
\(y = 2 (x - d) (x + d) (x + g) (x - d)\) In the given equation, \(d\) and \(g\) are unique positive constants. When the equation is graphe…
Math•Q48
The function \(f\) is defined by \(f (x) = a x^{2} + b x + c\), where \(a\), \(b\), and \(c\) are constants. The graph of \(y = f (x)\) in …

SSQB One-variable data: Distributions and measures of center and spread — Easy

SSQB One-variable data: Distributions and measures of center and spread — Medium

SSQB One-variable data: Distributions and measures of center and spread — Hard

SSQB Percentages — Easy

SSQB Percentages — Medium

SSQB Percentages — Hard