Elementary logic, real number system, equations and inequalities (linear, polynomial, rational, and radical expressions), graphing, function notation, inverse function, exponential functions, systems of equations, and variations.
There are homework assignments for every lesson. The homework is done online through MyMathLab. Please note there is no resubmission allowed for the final homework grade. Note: This course performs best in Mozilla Firefox; other browsers may not work as well.
Course Outline:
Lesson 1: 1.1 Some Basics of Algebra
Lesson 2: 1.2 Operations and Properties of Real Numbers
Lesson 3: 1.3 Solving Equations
Lesson 4: 1.4 Introduction to Problem Solving
Lesson 5: 1.5 Formulas, Models, and Geometry
Lesson 6: 1.6 Properties of Exponents
Lesson 7: 1.7 Scientific Notation
Lesson 8: 2.1 Graphs
Lesson 9: 2.2 Functions
Lesson 10: 2.3 Linear Functions: Slope, Graphs, and Models
Lesson 11: 2.4 Another Look at Linear Graphs
Lesson 12: 2.5 Equations of Lines and Modeling
Lesson 13: 2.6 The Algebra of Functions
Lesson 14: 3.1 Systems of Equations in Two Variables
Lesson 15: 3.2 Solving by Substitution or Elimination
Lesson 16: 3.3 Solving Applications: Systems of Two Equations
Lesson 17: 3.4 System of Equations in Three Variables
Lesson 18: 3.5 Solving Applications: Systems of Three Equations
Lesson 19: 4.1 Inequalities and Applications
Lesson 20: 4.2 Intersections, Unions, and Compound Inequalities
Lesson 21: 4.3 Absolute-Value Equations and Inequalities
Lesson 22: 4.4 Inequalities in Two Variables
Lesson 23: 4.5 Applications Using Linear Programming
Lesson 24: 5.1 Introduction to Polynomials and Polynomial Functions
Lesson 25: 5.2 Multiplication of Polynomials
Lesson 26: 5.3 Common Factors and Factoring by Grouping
Lesson 27: 5.4 Factoring Trinomials
Lesson 28: 5.5 Factoring Perfect-Square Trinomials and Differences of Squares
Lesson 29: 5.6 Factoring Sums or Differences of Cubes
Lesson 30: 5.7 Factoring: A General Strategy
Lesson 31: 5.8 Applications of Polynomial Equations
Lesson 32: 6.1 Rational Expressions and Functions: Multiplying and Dividing
Lesson 33: 6.2 Rational Expressions and Functions: Adding and Subtracting
Lesson 34: 6.3 Complex Rational Expressions
Lesson 35: 6.4 Rational Equations
Lesson 36: 6.5 Solving Applications Using Rational Equations
Lesson 37: 6.6 Division of Polynomials
Lesson 38: 6.7 Synthetic Division and the Remainder Theorem
Lesson 39: 6.8 Formulas, Applications, and Variation
Lesson 40: 7.1 Radical Expressions and Functions
Lesson 41: 7.2 Rational Numbers as Exponents
Lesson 42: 7.3 Multiplying Radical Expressions
Lesson 43: 7.4 Dividing Radical Expressions
Lesson 44: 7.5 Expressions Containing Several Radical Terms
Lesson 45: 7.6 Solving Radical Equations
Lesson 46: 7.7 The Distance Formula, the Midpoint Formula, and Other Applications
Lesson 47: 7.8 The Complex Numbers