Skip to main content

Practice set · Grades 10 to 12

Precalculus practice problems

10 problems with answers, grouped by topic.

Stuck? Open the Precalculus hub for the worked examples.

Functions and domains

Solve each problem. Then open the answer to check.

$f(x) = \frac{1}{x - 5}$

Show answer

$x \neq 5$
$f(x) = \sqrt{x - 3}$

Show answer

$x \geq 3$
$f(x) = 3x + 1,\ f(2)$

Show answer

$7$
$f(x) = x^2 - 4,\ f(-1)$

Show answer

$-3$

Logarithms and exponentials

Solve each problem. Then open the answer to check.

$\log_3 81$

Show answer

$4$
$\log_{10} 100$

Show answer

$2$
$2^x = 32$

Show answer

$x = 5$

Sequences and series

Solve each problem. Then open the answer to check.

$4, 7, 10, \ldots, \text{10th term}$

Show answer

$31$
$-1, 2, 5, \ldots, \text{8th term}$

Show answer

$20$
$1 + 2 + 4 + 8 + 16$

Show answer

$31$

Need the method?

Every Precalculus topic has worked examples, step by step.

Open the Precalculus hub