Intermediate Algebra

A review of concepts and computational skills

Chapters 6-8

Rational Expressions and Functions

Domains of rational expressions Reducing/simplifying Evaluating rational functions Multiply/divide rational expressions Add/subtract rational expressions by finding

LCD, then combining Complex fractions Solving equations involving rational

expressions

Radicals

If a = bn then b is the nth root of a Even roots, odd roots, principal roots Radical, radicand, index Multiplying and dividing radicals Domain of a radical function Absolute value rule for expressions involving

variables

Rational Exponents

a1/n = the nth root of a am/n = the nth root of a, raised to the mth

power Rules for exponents still apply! Simplifying/converting to radical form

Operations with Radicals

Add/subtract radical expressions Multiplying radicals Conjugates Rationalizing denominators Dividing radicals Rationalizing radicals using conjugates Solving equations involving radicals

Complex Numbers

The imaginary unit i Add/subtract complex numbers Multiply complex numbers Complex conjugates Divide complex numbers Powers of i

Quadratic Equations and Functions

Solving quadratic equations by factoring Solving quadratic equations by completing

the square Solving quadratic equations using the

quadratic formula Quadratic functions and their graphs