Free 10-Minute SAT Math Diagnostic

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Find out exactly where you are losing points. Complete our 10-question diagnostic test below to unlock your predicted score range and get a custom strategy roadmap.

Q1

If \(3x + 7 = 22\), what is the value of \(6x - 4\)?

Algebra
Q2

If \(f(x) = 2x^2 - 3x + 1\), what is the value of \(f(-2)\)?

Advanced Math
Q3

In a right triangle, one angle measures \(30^\circ\). If the length of the side opposite this angle is \(5\), what is the length of the hypotenuse?

Geometry & Trigonometry
Q4

An exponential growth model is given by \(P(t) = 500(1.08)^t\). What is the percentage growth rate per unit of time?

Advanced Math
Q5

What is the \(x\)-value of the solution to the system of equations: \(2x - y = 8\) and \(x + 2y = 4\)?

Algebra
Q6

Which of the following is equivalent to the expression \(\frac{x^2 - 9}{x - 3}\) for all \(x \neq 3\)?

Advanced Math
Q7

For what value of \(k\) will the line \(4x + ky = 12\) have a slope of \(-2\)?

Algebra
Q8

If \(\left(x^{a+b}\right)^{a-b} = x^{64}\), and \(a + b = 16\), what is the value of \(a - b\)?

Advanced Math
Q9

In the \(xy\)-plane, points \((-3, -7)\) and \((11, -7)\) are the endpoints of the diameter of a circle. An equation of the circle is \((x - a)^2 + (y - b)^2 = c^2\). What is the value of \(a + b + c\)?

Geometry & Trigonometry
Q10
\(x\)\(g(x)\)
\(-27\)\(3\)
\(-9\)\(0\)
\(21\)\(5\)

The table shows three values of \(x\) and their corresponding values of \(g(x)\), where \(g(x) = \frac{f(x)}{x + 3}\) and \(f\) is a linear function. What is the \(y\)-intercept of the graph of \(y = f(x)\) in the \(xy\)-plane?

Advanced Math

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Your Diagnostic Results

Based on your performance across 10 core SAT Math topics:

700 - 750

Score: 8 / 10 Correct Answers

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