### MATH100 Final Review Sheet

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
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 = (y2 - y1)/(x2 - x1), (y - y1) = m(x - x1))
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((x2 - x1)2 + (y2 - y1)2) )
Equation of a Circle, p. 7 (r2 = (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)

Exams