AP Math Revision › High school math › Ready for AP?

Ready for AP? A 12-question check

Twelve short questions on the algebra, geometry and trigonometry that AP Precalculus and AP Calculus build on. No calculator, about ten minutes. At the end you'll see whether to start AP Precalculus, go straight to AP Calculus AB, or fix a few high school units first.

It's honest, not flattering: a wrong answer here costs nothing, and it shows you exactly what to work on. Rather browse? Go straight to Algebra 1, Geometry or Algebra 2.

Question 1 of 12

Solve $5x-8=3(x+2)$.

$x=1$ $x=-7$ $x=3$ $x=7$

Question 2 of 12

What is the slope of the line $4x-2y=10$?

$-2$ $4$ $-5$ $2$

Question 3 of 12

Write $x^2-x-12$ as a product of two binomials.

$(x-12)(x+1)$ $(x-6)(x+2)$ $(x-4)(x+3)$ $(x+4)(x-3)$

Question 4 of 12

Simplify $\frac{x^4\cdot x^3}{x^2}$.

$x^{5}$ $x^{14}$ $x^{10}$ $x^{6}$

Question 5 of 12

Find both solutions of $x^2+6x+5=0$ by factoring.

$x=-2 \text{ or } x=-3$ $x=-1 \text{ or } x=5$ $x=-1 \text{ or } x=-5$ $x=1 \text{ or } x=5$

Question 6 of 12

A 12-foot ladder leans against a wall and makes a $30^\circ$ angle with the ground. How high up the wall, in feet, does it reach?

$6\sqrt{3}$ $6$ $4\sqrt{3}$ $24$

Question 7 of 12

On a coordinate grid, what is the straight-line distance from $(1,2)$ to $(4,6)$?

$7$ $25$ $5$ $\sqrt{7}$

Question 8 of 12

What are the zeros of $f(x)=x^3-4x$?

$x=4 \text{ or } x=-4$ $x=2 \text{ or } x=-2$ $x=0 \text{ or } x=4$ $x=0 \text{ or } x=2 \text{ or } x=-2$

Question 9 of 12

Solve $2^x=\frac{1}{8}$.

$x=-3$ $x=-\frac{1}{3}$ $x=\frac{1}{3}$ $x=3$

Question 10 of 12

Solve $\log_3 x=4$.

$x=81$ $x=64$ $x=12$ $x=\frac{4}{3}$

Question 11 of 12

From the unit circle, what is $\cos\frac{\pi}{3}$?

$\frac{1}{2}$ $1$ $-\frac{1}{2}$ $\frac{\sqrt{3}}{2}$

Question 12 of 12

Simplify $\frac{x^2-4}{x-2}$ for $x\ne 2$.

$2x$ $x-2$ $x+4$ $x+2$