Chapters 2–6 are followed by Cumulative Review Exercises | |
Prealgebra Review | |
Introduction to Integers | |
Addition and Subtraction of Integers | |
Multiplication and Division of Integers | |
Exponents and the Order of Operations Agreement | |
Factoring Numbers and Prime Factorization | |
Addition and Subtraction of Rational Numbers | |
Multiplication and Division of Rational Numbers | |
Concepts from Geometry Focus on Problem Solving: Inductive Reasoning Projects and Group Activities: The +/- Key on a Calculator | |
Variable Expressions | |
Evaluating Variable Expressions | |
Simplifying Variable Expressions | |
Translating Verbal Expressions into Variable Expressions | |
Focus on Problem Solving: From Concrete to Abstract Projects and Group Activities: Prime and Composite Numbers | |
Solving Equations | |
Introduction to Equations | |
General Equations--Part I | |
General Equations--Part II | |
Translating Sentences into Equations | |
Geometry Problems | |
Mixture and Uniform Motion Problems | |
Focus on Problem Solving: Trial-and-Error Approach to Problem Solving Projects and Group Activities: Nielsen Ratings | |
Polynomials | |
Addition and Subtraction of Polynomials | |
Multiplication of Monomials | |
Multiplication of Polynomials | |
Integer Exponents and Scientific Notation | |
Division of Polynomials | |
Focus on Problem Solving: Dimensional Analysis Projects and Group Activities: Diagramming the Square of a Binomial | |
Factoring | |
Common Factors | |
Factoring Polynomials of the Form x2 + bx + c | |
Factoring Polynomials of the Form ax2 + bx + c | |
Special Factoring | |
Solving Equations | |
Focus on Problem Solving: Making a Table Projects and Group Activities: Evaluating Polynomials Using a Graphing Calculator | |
Rational Expressions | |
Multiplication and Division of Rational Expressions | |
Expressing Fractions in Terms of the Least Common Multiple (LCM) | |
Addition and Subtraction of Rational Expressions | |
Complex Fractions | |
Solving Equations Containing Fractions | |
Ratio and Proportion | |
Literal Equations | |
Application Problems | |
Focus on Problem Solving: Negations and If. . .then Sentences Projects and Group Activities: Intensity of Illumination | |
Linear Equations in Two Variables | |
The Rectangular Coordinate System | |
Linear Equations in Two Variables | |
Intercepts and Slopes of Straight Lines | |
Equations of Straight Lines | |
Focus on Problem Solving: Counterexamples Projects and Group Activities: Graphing Linear Equations with a Graphing Utility | |
Systems of Linear Equations | |
Solving Systems of Linear Equations by Graphing | |
Solving Systems of Linear Equations by the Substitution Method | |
Solving Systems of Equations by the Addition Method | |
Application Problems in Two Variables | |
Focus on Problem Solving: Using a Table and Searching for a Pattern Projects and Group Activities: Finding a Pattern | |
Inequalities | |
Sets | |
The Addition and Multiplication Properties of Inequalities | |
General Inequalities | |
Graphing Linear Inequalities | |
Focus on Problem Solving: Graphing Data Projects and Group Activities: Mean and Standard Deviation | |
Radical Expressions | |
Introduction to Radical Expressions | |
Addition and Subtraction of Radical Expressions | |
Multiplication and Division of Radical Expressions | |
Solving Equations Containing Radical Expressions Focus on Problem Solving: Deductive Reasoning Projects and Group Activities: Distance to the Horizon | |
Quadratic Equations | |
Solving Quadratic Equations by Factoring or by Taking Square Roots | |
Solving Quadratic Equations by Completing the Square | |
Solving Quadratic Equations By Using the Quadratic Formula | |
Graphing Quadratic Equations in Two Variables | |
Application Problems | |
Focus on Problem Solving: Algebraic Manipulation and Graphing Techniques Projects and Group Activities: Graphical Solutions of Quadratic Equations | |
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