Intermediate Algebra For College Students

About our authors Allen Angel received his BS and MS in mathematics from SUNY at New Paltz. He completed additional graduate work at Rutgers University. He taught at Sullivan County Community College and Monroe Community College, where he served as chairperson of the Mathematics Department. He served as Assistant Director of the National Science Foundation at Rutgers University for the summers of 1967 - 1970. He was President of The New York State Mathematics Association of Two-Year Colleges (NYSMATYC). He also served as Northeast Vice President of the American Mathematics Association of Two-Year Colleges (AMATYC). Allen lives in Palm Harbor, Florida but spends his summers in Penfield, New York. He enjoys playing tennis and watching sports. He also enjoys traveling with his wife Kathy. Dennis Runde received his BS and MS in mathematics from the University of Wisconsin - Platteville and Milwaukee, respectively. He has a PhD in Mathematics Education from the University of South Florida. He has been teaching for 27 years at State College of Florida - Manatee - Sarasota. His interests include reading, history, fishing, trivia contests and cooking. He and his wife Kristin are the proud parents of their 3 sons Alex, Nick and Max.

Basic Concepts

1.1 Study Skills for Success in Mathematics, and Using a Calculator
1.2 Sets and Other Basic Concepts
1.3 Properties of and Operations with Real Numbers
1.4 Order of Operations

Mid-Chapter Test: Sections 1.1—1.4


1.5 Exponents
1.6 Scientific Notation


Equations and Inequalities

2.1 Solving Linear Equations
2.2 Problem Solving and Using Formulas
2.3 Applications of Algebra

Mid-Chapter Test: Sections 2.1—2.3


2.4 Additional Application Problems
2.5 Solving Linear Inequalities
2.6 Solving Equations and Inequalities Containing Absolute Values


Graphs and Functions

3.1 Graphs
3.2 Functions
3.3 Linear Functions: Graphs and Applications
3.4 The Slope-Intercept Form of a Linear Equation

Mid-Chapter Test: Sections 3.1—3.4


3.5 The Point-Slope Form of a Linear Equation
3.6 The Algebra of Functions
3.7 Graphing Linear Inequalities


Systems of Equations and Inequalities

4.1 Solving Systems of Linear Equations in Two Variables
4.2 Solving Systems of Linear Equations in Three Variables
4.3 Systems of Linear Equations: Applications and Problem Solving

Mid-Chapter Test: Sections 4.1—4.3


4.4 Solving Systems of Equations Using Matrices
4.5 Solving Systems of Equations Using Determinants and Cramer’s Rule
4.6 Solving Systems of Linear Inequalities


Polynomials and Polynomial Functions

5.1 Addition and Subtraction of Polynomials
5.2 Multiplication of Polynomials
5.3 Division of Polynomials and Synthetic Division
5.4 Factoring a Monomial from a Polynomial and Factoring by Grouping

Mid-Chapter Test: Sections 5.1—5.4


5.5 Factoring Trinomials
5.6 Special Factoring Formulas
5.7 A General Review of Factoring
5.8 Polynomial Equations


Rational Expressions and Equations

6.1 The Domains of Rational Functions and Multiplication and Division of Rational Expressions
6.2 Addition and Subtraction of Rational Expressions
6.3 Complex Fractions
6.4 Solving Rational Equations

Mid-Chapter Test: Sections 6.1—6.4


6.5 Rational Equations: Applications and Problem Solving
6.6 Variation


Roots, Radicals, and Complex Numbers

7.1 Roots and Radicals
7.2 Rational Exponents
7.3 Simplifying Radicals
7.4 Adding, Subtracting, and Multiplying Radicals

Mid-Chapter Test: Sections 7.1—7.4


7.5 Dividing Radicals
7.6 Solving Radical Equations
7.7 Complex Numbers


Quadratic Functions

8.1 Solving Quadratic Equations by Completing the Square
8.2 Solving Quadratic Equations by the Quadratic Formula
8.3 Quadratic Equations: Applications and Problem Solving

Mid-Chapter Test: Sections 8.1—8.3


8.4 Writing Equations in Quadratic Form
8.5 Graphing Quadratic Functions
8.6 Quadratic and Other Inequalities in One Variable


Exponential and Logarithmic Functions

9.1 Composite and Inverse Functions
9.2 Exponential Functions
9.3 Logarithmic Functions
9.4 Properties of Logarithms

Mid-Chapter Test: Sections 9.1—9.4


9.5 Common Logarithms
9.6 Exponential and Logarithmic Equations
9.7 Natural Exponential and Natural Logarithmic Functions


Conic Sections

10.1 The Parabola and the Circle
10.2 The Ellipse

Mid-Chapter Test: Sections 10.1—10.2


10.3 The Hyperbola
10.4 Nonlinear Systems of Equations and Their Applications


Sequences, Series, and the Binomial Theorem

11.1 Sequences and Series
11.2 Arithmetic Sequences and Series
11.3 Geometric Sequences and Series

Mid-Chapter Test: Sections 11.1—11.3


11.4 The Binomial Theorem



Appendix: Geometric Formulas