Algebra Lessons
Expressions, equations, exponents, polynomials, and functions.
Preliminaries
Integer Exponents
The complete set of integer exponent rules — product, quotient, power, zero, and negative — in one reference table, with the reasoning behind each rule, worked examples for numbers and variables, common traps, and ten practice problems you can check yourself.
Read lesson →Rational Exponents
How fractional exponents connect to roots and radicals — full derivations, a properties table, worked examples for numbers and variables, and ten practice problems.
Read lesson →Radicals
A complete guide to radicals — simplifying, combining like radicals, multiplying, and rationalizing denominators — with a properties table, worked examples, and ten practice problems.
Read lesson →Polynomials
A complete guide to polynomials — degree, adding, subtracting, multiplying, and the special product patterns — with worked examples and ten practice problems.
Read lesson →Factoring Polynomials
A complete guide to factoring polynomials — the GCF, difference of squares, perfect square trinomials, and the ac method — with worked examples and ten practice problems.
Read lesson →Rational Expressions
A complete guide to rational expressions — simplifying, multiplying, dividing, adding, and subtracting fractions built from polynomials — with worked examples and ten practice problems.
Read lesson →Complex Numbers
A complete guide to complex numbers — the imaginary unit, adding, multiplying, dividing, and powers of i — with a properties table, worked examples, and ten practice problems.
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