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 = b n 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 a 1/n = the nth root of a a m/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