These are some topics that are likely to appear on the final exam. Please double check the formulas and learn what they're for before using them. Some formulas have been abused to fit on a web page.

**Simplify Expressions**

Basic Rules of Algebra, pp. A5-A7

Exponents and Radicals, Section A.2 (skip rationalizing numerators)

Rational Expressions, pp. A37-A42

**Evaluate Expressions**

Algebraic Expressions, pp. A5-A7

Exponents and Radicals, Section A.2

Rational Expressions, Section A.4

Exponential and Logarithmic Functions, Sections 3.1-3.2

**Solving Equations and Inequalities**

Interpreting Inequalities, p. A2

Solving Inequalities, pp. A61-A66

Properties of Equality, p. A6

Solving Equations, Section A.5 (skip completing the square)

Factor Polynomials, p. A30

Zeros of Polynomial Functions, pp. 150-151, p. 154

Finding Inverse Functions, p. 81

Exponential and Logarithmic Equations, Section 3.4 (if covered in class)

**Equations and Functions**

Functions, Sections 1.3, 1.7, 1.8

Domains of Functions, p. A36

Linear Equations in Two Variables, Section A.2 (*y = mx+b,*slope*= m = (y*)_{2}- y_{1})/(x_{2}- x_{1}), (y - y_{1}) = m(x - x_{1})

Quadratic Functions, Section 2.1

Polynomials, pp. A23-A27, 121-127

Logarithmic Fuctions, Section 3.2

Exponential Functions, Section 3.4

**Graphing**

The Cartesian Plane, p. A78

Graphs of Equations, Section 1.1

Graphs of Functions, pp. 41-43, 46

Piecewise defined Functions, p. 55

A Library of Functions, p. 55

Rigid Transformations of Graphs, pp. 59-62

The Leading Coefficient Test, p. 123

Sketching the Graph of a Polynomial Function, pp. 126-127

Analyzing Graphs of Rational Functions, p. 168

**Distance and Location**

Absolute Value and Distance, p. A4

Parallel and perpendicular lines, p. 19

Distance Formula, p. A80 (*d = sqrt((x*)_{2}- x_{1})^{2}+ (y_{2}- y_{1})^{2})

Equation of a Circle, p. 7 (*r*)^{2}= (x - h)^{2}+ (y - k)^{2})

Vertex of a Parabola, p. 115 (*(-b/(2a), f(-b/(2a)))*)

Standard Form of a Quadratic Function, p. 113 (*f(x) = a(x-h)*)^{2}+ k