Intermediate Algebra

1. Intermediate Algebra A review of concepts and computational skills Chapters 6-8

2. 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

3. 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

4. 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

5. Operations with Radicals • Add/subtract radical expressions • Multiplying radicals • Conjugates • Rationalizing denominators • Dividing radicals • Rationalizing radicals using conjugates • Solving equations involving radicals

6. Complex Numbers • The imaginary unit i • Add/subtract complex numbers • Multiply complex numbers • Complex conjugates • Divide complex numbers • Powers of i

7. 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