The Set of Real Numbers | |

Fractions | |

Sets of Numbers and the Real Number Line | |

Exponents, Square Roots, and the Order of Operations | |

Addition of Real Numbers | |

Subtraction of Real Numbers | |

Problem Recognition Exercises: Addition and Subtraction of Real Numbers | |

Multiplication and Division of Real Numbers | |

Problem Recognition Exercises: Adding, Subtracting, Multiplying, and Dividing Real Numbers | |

Properties of Real Numbers and Simplifying Expressions | |

Group Activity: Evaluating Formulas Using a Calculator | |

Summary | |

Review Exercises | |

Test | |

Linear Equations and Inequalities | |

Addition, Subtraction, Multiplication, and Division Properties of Equality | |

Solving Linear Equations | |

Linear Equations: Clearing Fractions and Decimals | |

Problem Recognition Exercises: Equations and Expressions | |

Applications of Linear Equations: Introduction to Problem Solving | |

Applications Involving Percents | |

Formulas and Applications of Geometry | |

Mixture Applications and Uniform Motion | |

Linear Inequalities | |

Group Activity: Computing Body Mass Index (BMI) | |

Summary | |

Review Exercises | |

Test | |

Cumulative Review Exercises | |

Graphing Linear Equations in Two Variables | |

Rectangular Coordinate System | |

Linear Equations in Two Variables | |

Slope of a Line and Rate of Change | |

Slope-Intercept Form of a Line | |

Problem Recognition Exercises: Linear Equations in Two Variables | |

Point-Slope Formula | |

Applications of Linear Equations and Modeling | |

Group Activity: Modeling a Linear Equation | |

Summary | |

Review Exercises | |

Test | |

Cumulative Review Exercises | |

Systems of Linear Equations | |

Solving Systems of Equations by the Graphing Method | |

Solving Systems of Equations by the Substitution Method | |

Solving Systems of Equations by the Addition Method | |

Problem Recognition Exercises: Systems of Equations | |

Applications of Linear Equations in Two Variables | |

Linear Inequalities in Two Variables and Systems of Linear Inequalities in Two | |

Variables | |

Group Activity: Creating Linear Models from Data | |

Summary | |

Review Exercises | |

Test | |

Cumulative Review Exercises | |

Polynomials and Properties of Exponents | |

Exponents: Multiplying and Dividing Common Bases | |

More Properties of Exponents | |

Definitions of and | |

Scientific Notation | |

Problem Recognition Exercises: Properties of Exponents | |

Addition and Subtraction of Polynomials | |

Multiplication of Polynomials and Special Products | |

Division of Polynomials | |

Problem Recognition Exercises: Operations on Polynomials | |

Group Activity: The Pythagorean Theorem and a Geometric “Proof” | |

Summary | |

Review Exercises | |

Test | |

Cumulative Review Exercises | |

Factoring Polynomials | |

Greatest Common Factor and Factoring by Grouping | |

Factoring Trinomials of the Form | |

Factoring Trinomials: Trial-and-Error Method | |

Factoring Trinomials: -Method | |

Difference of Squares and Perfect Square Trinomials | |

Sum and Difference of Cubes | |

Problem Recognition Exercises: Factoring Strategy | |

Solving Equations Using the Zero Product Rule | |

Problem Recognition Exercises: Polynomial Expressions and Polynomial Equations | |

Applications of Quadratic Equations | |

Group Activity: Building a Factoring Test | |

Summary | |

Review Exercises | |

Test | |

Cumulative Review Exercises | |

Rational Expressions | |

Introduction to Rational Expressions | |

Multiplication and Division of Rational Expressions | |

Least Common Denominator | |

Addition and Subtraction of Rational Expressions | |

Problem Recognition Exercises: Operations on Rational Expressions | |

Complex Fractions | |

Rational Equations | |

Problem Recognition Exercises: Comparing Rational Equations and Rational Expressions | |

Applications of Rational Equations and Proportions | |

Variation | |

Group Activity: Computing Monthly Mortgage Payments | |

Summary | |

Review Exercises | |

Test | |

Cumulative Review Exercises | |

Radicals | |

Introduction to Roots and Radicals | |

Simplifying Radicals | |

Addition and Subtraction of Radicals | |

Multiplication of Radicals | |

Division of Radicals and Rationalization | |

Problem Recognition Exercises: Operations on Radicals | |

Radical Equations | |

Rational Exponents | |

Group Activity: Approximating Square Roots | |

Summary | |

Review Exercises | |

Test | |

Cumulative Review Exercises | |

Quadratic Equations, Complex Numbers, and Functions | |

The Square Root Property | |

Completing the Square | |

Quadratic Formula | |

Problem Recognition Exercises: Solving Different Types of Equations | |

Complex Numbers | |

Graphing Quadratic Equations | |

Introduction to Functions | |

Group Activity: Maximizing Volume | |

Summary | |

Review Exercises | |

Test | |

Cumulative Review Exercises | |

Appendix | |

Decimals and Percents | |

Mean, Median, and Mode | |

Introduction to Geometry | |

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