1. WHOLE NUMBERS | |
Place Value and Names for Numbers | |
Properties and Facts of Addition | |
Addition with Whole Numbers, and Perimeter | |
Rounding Numbers, Estimating Answers, and Displaying Information | |
Subtraction with Whole Numbers | |
Properties and Facts of Multiplication | |
The Distributive Property and Multiplication with Whole Numbers | |
Division with Whole Numbers | |
Exponents and Order of Operations | |
Area and Volume | |
Summary | |
Review | |
Test | |
2. INTRODUCTION TO ALGEBRA | |
Positive and Negative Numbers | |
Addition with Negative Numbers | |
Subtraction with Negative Numbers | |
Multiplication with Negative Numbers | |
Division with Negative Numbers | |
Simplifying Algebraic Expressions | |
Multiplication Properties of Exponents | |
Adding and Subtracting Polynomials | |
Multiplying Polynomials: An Introduction | |
Summary | |
Review | |
Test | |
Cumulative Review | |
3. FRACTIONS AND MIXED NUMBERS | |
The Meaning and Properties of Fractions | |
Prime Numbers, Factors, and Reducing to Lowest Terms | |
Multiplication with Fractions, and the Area of a Triangle | |
Division with Fractions | |
Addition and Subtraction with Fractions | |
Mixed-Number Notation | |
Multiplication and Division with Mixed Numbers | |
Addition and Subtraction with Mixed Numbers | |
Combinations of Operations and Complex Fractions | |
Summary | |
Review | |
Test | |
Cumulative Review | |
4. SOLVING EQUATIONS | |
The Distributive Property and Algebraic Expressions | |
The Addition Property of Equality | |
The Multiplication Property of Equality | |
Linear Equations in One Variable | |
Applications | |
Evaluating Formulas | |
Paired Data and Equations in Two Variables | |
The Rectangular Coordinate System | |
Graphing Straight Lines | |
Summary | |
Review | |
Test | |
Cumulative Review | |
5. DECIMALS | |
Decimal Notation and Place Value | |
Addition and Subtraction with Decimals | |
Multiplication with Decimals; Circumference and Area of a Circle | |
Division with Decimals | |
Fractions and Decimals, and the Volume of a Sphere | |
Equations Containing Decimals | |
Square Roots and the Pythagorean Theorem | |
Simplifying Square Roots | |
Adding and Subtracting Roots | |
Summary | |
Review | |
Test | |
Cumulative Review | |
6. RATIO, PROPORTION, AND UNIT ANALYSIS | |
Ratios | |
Unit Analysis I: Length | |
Unit Analysis II: Area and Volume | |
Unit Analysis III: Weight | |
Converting Between the Two Systems | |
Proportions | |
Summary | |
Review | |
Test | |
Cumulative Review | |
7. PERCENT | |
Percents, Decimals, and Fractions | |
Basic Percent Problems | |
General Applications of Percent | |
Sales Tax and Commission | |
Percent Increase or Decrease, and Discount | |
Interest | |
Summary | |
Review | |
Test | |
Cumulative Review | |
Appendixes | |
I: One Hundred Addition Facts | |
II: One Hundred Multiplication Facts | |
III: Negative Exponents | |
IV: Scientific Notation | |
V: More About Scientific Notation | |
Solution to Selected Practice Problems | |
Answers to Odd-Numbered Problems | |
Index |