Basic Concepts And Properties | |

Sets, Real Numbers, and Numerical Expressions | |

Operations with Real Numbers | |

Properties of Real Numbers and the Use of Exponents | |

Algebraic Expressions | |

Summary | |

Review Problem Set | |

Test | |

Equations, Inequalities, And Problem Solving | |

Solving First-Degree Equations | |

Equations Involving Fractional Forms | |

Equations Involving Decimals and Problem Solving | |

Formulas | |

Inequalities | |

More on Inequalities and Problem Solving | |

Equations and Inequalities Involving Absolute Value | |

Summary | |

Review Problem Set | |

Test | |

Polynomials | |

Polynomials: Sums and Differences | |

Products and Quotients of Monomials | |

Multiplying Polynomials | |

Factoring: Use of the Distributive Property | |

Factoring: Difference of Two Squares and Sum or Difference of Two Cubes | |

Factoring Trinomials | |

Equations and Problem Solving | |

Summary | |

Review Problem Set | |

Test | |

Cumulative Review Problem Set (Chapters 1-3) | |

Rational Expressions | |

Simplifying Rational Expressions | |

Multiplying and Dividing Rational Expressions | |

Adding and Subtracting Rational Expressions | |

More on Rational Expressions and Complex Fractions | |

Dividing Polynomials | |

Fractional Equations | |

More Fractional Equations and Applications | |

Summary | |

Review Problem Set | |

Test | |

Exponents and Radicals | |

Using Integers as Exponents | |

Roots and Radicals | |

Combining Radicals and Simplifying Radicals That Contain Variables | |

Products and Quotients Involving Radicals | |

Equations Involving Radicals | |

Merging Exponents and Roots | |

Scientific Notation | |

Summary | |

Review Problems Set | |

Test | |

Quadratic Equations And Inequalities | |

Complex Numbers | |

Quadratic Equations | |

Completing the Square | |

Quadratic Formula | |

More Quadratic Equations and Applications | |

Quadratic and Other Nonlinear Inequalities | |

Summary | |

Review Problem Set | |

Test | |

Cumulative Review Problem Set (Chapters 1-6) | |

Linear Equations and Inequalities In Two Variables | |

Rectangular Coordinate System and Linear Equations | |

Graphing Nonlinear Equations Linear Inequalities in Two Variables | |

Distance and Slope | |

Determining the Equation of a Line | |

Summary | |

Review Problem Set | |

Test | |

Functions | |

Concept of a Function | |

Linear Functions and Applications | |

Quadratic Functions | |

More Quadratic Functions and Applications | |

Transformations of Some Basic Curves | |

Combining Functions | |

Direct and Inverse Variation | |

Summary | |

Review Problem Set | |

Test | |

Polynomial And Rational Functions | |

Synthetic Division | |

Remainder and Factor Theorems | |

Polynomial Equations | |

Graphing Polynomial Functions | |

Graphing Rational Functions | |

More on Graphing Rational Functions | |

Summary | |

Review Problem Set | |

Test | |

Exponential and Logarithmic Functions | |

Exponents and Exponential Functions | |

Applications of Exponential Functions | |

Inverse Functions | |

Logarithms | |

Logarithmic Functions | |

Exponential Equations, Logarithmic Equations, and Problem Solving | |

Summary | |

Review Problem Set | |

Test | |

Cumulative Review Problem Set (Chapter 1-10) | |

Systems Of Equations | |

Systems of Two Linear Equations in Two Variables | |

Systems of Three Linear Equations in Three Variables | |

Matrix Approach to Solving Linear Systems | |

Determinants | |

Cramer's Rule | |

Partial Fractions | |

Summary | |

Review Problem Set | |

Test | |

Algebra Of Matrices | |

Algebra of 2 X 2 Matrices | |

Multiplicative Inverses | |

m x n Matrices | |

Systems of Linear Inequalities: Linear Programming | |

Summary | |

Review Problem Set | |

Test | |

Conic Sections | |

Circles | |

Parabolas | |

Ellipses | |

Hyperbolas | |

System Involving Nonlinear Equations | |

Summary | |

Review Problem Set | |

Test | |

Sequences And Mathematical Induction | |

Arithmetic Sequences | |

Geometric Sequences | |

Another Look at Problem Solving | |

Mathematical Induction | |

Summary | |

Review Problem Set | |

Test | |

Counting Techniques, Probability, and The Binomial Theorem | |

Fundamental Principle of Counting | |

Permutations and Combinations | |

Probability | |

Some Properties of Probability: Expected Values | |

Conditional Probability: Dependent and Independent Events | |

Binomial Theorem | |

Summary | |

Review Problem Set | |

Test | |

Common Logarithms | |

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