Loyola University Chicago

Mathematics and Statistics

MATH 100: Intermediate Algebra

Course Details
Credit Hours: 3
Prerequisites: None
Description:  Fundamentals of algebra. Graphs of linear equations, polynomials and factoring, first and second-degree equations and inequalities, radicals and exponents, and systems of equations. Word problems emphasized throughout the course.

R. Larson, Intermediate Algebra (WebAssign eBook), 5th edition.

Chapter 1: Fundamentals of Algebra
   1.1  The Real Number System
   2.2  Operations with Real Numbers
   1.3  Properties of Real Numbers
   1.4  Algebraic Expressions
   1.5  Constructing Algebraic Expressions

Chapter 2: Linear Equations and Inequalities
   2.1  Linear Equations
   2.2  Linear Equations and Problem Solving
   2.3  Business and Scientific Problems
   2.4  Linear Inequalities
   2.5  Absolute Value Equations and Inequalities

Chapter 3: Graphs and Functions
   3.1  The Rectangular Coordinate System
   3.2  Graphs of Equations
   3.3  Slope and Graphs of Linear Equations
   3.4  Equations of Lines
   3.5  Graphs of Linear Inequalities
   3.6  Relations and Functions
   3.7  Graphs of Functions

Chapter 4: Systems of Equations and Inequalities
   4.1  Systems of Equations
   4.2  Linear Systems in Two Variables

Chapter 5: Polynomials and Factoring
   5.1  Integer Exponents and Scientific Notation
   5.2  Adding and Subtracting Polynomials
   5.3  Multiplying Polynomials
   5.4  Factoring by Grouping and Special Forms
   5.5  Factoring Trinomials
   5.6  Solving Polynomial Equations by Factoring

Chapter 6: Rational Expressions, Equations, and Functions
   6.1  Rational Expressions and Functions
   6.2  Multiplying and Dividing Rational Expressions
   6.3  Adding and Subtracting Rational Expressions
   6.4  Complex Fractions
   6.5  Dividing Polynomials and Synthetic Division
   6.6  Solving Rational Equations

Chapter 7: Radicals and Complex Numbers
   7.1  Radicals and Rational Exponents
   7.2  Simplifying Radical Expressions
   7.3  Adding and Subtracting Radical Expressions
   7.4  Multiplying and Dividing Radical Expressions
   7.5  Radical Equations and Applications
   7.6  Complex Numbers

See Course Page for additional resources.