Algebra

Four topics from the class notes. Each one opens with the rules, then the order to try them in, then a worked solution for every kind of problem — the pattern named first, the move second.

Scientific calculatorExact answers where they exist, for checking your working as you go.

Integer ExponentsThe nine laws, negative exponents, and how to leave an answer positive.Class Notes — Chapter 1, Section 1.1

Rational ExponentsA fraction in the exponent is a root. Which part to do first, and when it is undefined.Class Notes — Chapter 1, Section 1.2

RadicalsSimplifying, multiplying and rationalizing — and why the variables are assumed positive.Class Notes — Chapter 1, Section 1.3

FactoringEvery pattern, in the order you should try them — GCF, squares, cubes, grouping, trinomials.Factoring exercises with solutions