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Table of Contents:
1. Whole Numbers
1.1 Reading and Writing Whole Numbers
1.2 Adding Whole Numbers
1.3 Subtracting Whole Numbers
1.4 Multiplying Whole Numbers
1.5 Dividing Whole Numbers
1.6 Long Division
1.7 Rounding Whole Numbers
1.8 Exponents, Roots, and Order of Operations
1.9 Reading Pictographs, Bar Graphs, and Line Graphs
1.10 Solving Application Problems
2. Multiplying and Dividing Fractions
2.1 Basics of Fractions
2.2 Mixed Numbers
2.3 Factors
2.4 Writing a Fraction in Lowest Terms
2.5 Multiplying Fractions
2.6 Applications of Multiplication
2.7 Dividing Fractions
2.8 Multiplying and Dividing Mixed Numbers
3. Adding and Subtracting Fractions
3.1 Adding and Subtracting Like Fractions
3.2 Least Common Multiples
3.3 Adding and Subtracting Unlike Fractions
3.4 Adding and Subtracting Mixed Numbers
3.5 Order Relations and the Order of Operations
4. Decimals
4.1 Reading and Writing Decimal Numbers
4.2 Rounding Decimal Numbers
4.3 Adding and Subtracting Decimal Numbers
4.4 Multiplying Decimal Numbers
4.5 Dividing Decimal Numbers
4.6 Fractions and Decimals
5. Ratio and Proportion
5.1 Ratios
5.2 Rates
5.3 Proportions
5.4 Solving Proportions
5.5 Solving Application Problems with Proportions
6. Percent
6.1 Basics of Percent
6.2 Percents and Fractions
6.3 Using the Percent Proportion and Identifying the Components in a Percent Problem
6.4 Using Proportions to Solve Percent Problems
6.5 Using the Percent Equation
6.6 Solving Application Problems with Percent
6.7 Simple Interest
6.8 Compound Interest
7. Measurement
7.1 Problem Solving with U.S. Measurement Units
7.2 The Metric System – Length
7.3 The Metric System – Capacity and Weight (Mass)
7.4 Problem Solving with Metric Measurement
7.5 Metric—U.S. Measurement Conversions and Temperature
8. Geometry
8.1 Basic Geometric Terms
8.2 Angles and Their Relationships
8.3 Rectangles and Squares
8.4 Parallelograms and Trapezoids
8.5 Triangles
8.6 Circles
8.7 Volume
8.8 Pythagorean Theorem
8.9 Similar Triangles
9. Introduction to Basic Algebra
9.1 Signed Numbers
9.2 Adding and Subtracting Signed Numbers
9.3 Multiplying and Dividing Signed Numbers
9.4 Order of Operations
9.5 Evaluating Expressions and Formulas
9.6 Solving Equations
9.7 Solving Equations with Several Steps
9.8 Using Equations to Solve Application Problems
10. Statistics
10.1 Circle Graphs
10.2 Bar Graphs and Line Graphs
10.3 Frequency Distributions and Histograms
10.4 Mean, Median, and Mode
11. The Real Number System
11.1 Exponents, Order of Operations, and Inequality
11.2 Variables, Expressions, and Equations
11.3 Real Numbers and the Number Line
11.4 Adding Real Numbers
11.5 Subtracting Real Numbers
11.6 Multiplying and Dividing Real Numbers
11.7 Properties of Real Numbers
11.8 Simplifying Expressions
12. Equations, Inequalities, and Applications
12.1 The Addition Property of Equality
12.2 The Multiplication Property of Equality
12.3 More on Solving Linear Equations
12.4 An Introduction to Applications of Linear Equations
12.5 Formulas and Additional Applications from Geometry
12.6 Ratio, Proportion, and Percent
12.7 Solving Linear Inequalities
13. Graphs of Linear Equations and Inequalities in Two Variables; Functions
13.1 Linear Equations in Two Variables; The Rectangular Coordinate System
13.2 Graphing Linear Equations in Two Variables
13.3 The Slope of a Line
13.4 Writing and Graphing Equations of Lines
13.5 Graphing Linear Inequalities in Two Variables
13.6 Introduction to Relations and Functions
13.7 Function Notation and Linear Functions
14. Systems of Linear Equations and Inequalities
14.1 Solving Systems of Linear Equations by Graphing
14.2 Solving Systems of Linear Equations by Substitution
14.3 Solving Systems of Linear Equations by Elimination
14.4 Applications of Linear Systems
14.5 Solving Systems of Linear Inequalities
15. Exponents and Polynomials
15.1 Adding and Subtracting Polynomials
15.2 The Product Rule and Power Rules for Exponents
15.3 Multiplying Polynomials
15.4 Special Products
15.5 Integer Exponents and the Quotient Rule
15.6 Dividing a Polynomial by a Monomial
15.7 Dividing a Polynomial by a Polynomial
15.8 An Application of Exponents: Scientific Notation
16. Factoring and Applications
16.1 Factors; The Greatest Common Factor
16.2 Factoring Trinomials
16.3 Factoring Trinomials by Grouping
16.4 Factoring Trinomials by Using the FOIL Method
16.5 Special Factoring Techniques
16.6 A General Approach to Factoring
16.7 Solving Quadratic Equations by Factoring
16.8 Applications of Quadratic Equations
17. Rational Expressions and Functions
17.1 Rational Expressions and Functions; Multiplying and Dividing
17.2 Adding and Subtracting Rational Expressions
17.3 Complex Fractions
17.4 Equations with Rational Expressions and Graphs
17.5 Applications of Rational Expressions
17.6 Variation
18. Equations, Inequalities, and Systems Revisited
18.1 Review of Solving Linear Equations and Inequalities
18.2 Set Operations and Compound Inequalities
18.3 Absolute Value Equations and Inequalities
18.4 Review of Systems of Linear Equations in Two Variables
18.5 Systems of Linear Equations in Three Variables; Applications
19. Roots, Radicals, and Root Functions
19.1 Radical Expressions and Graphs
19.2 Rational Exponents
19.3 Simplifying Radical Expressions
19.4 Adding and Subtracting Radical Expressions
19.5 Multiplying and Dividing Radical Expressions
19.6 Solving Equations with Radicals
19.7 Complex Numbers
20. Quadratic Equations, Inequalities, and Functions
20.1 Solving Quadratic Equations by the Square Root Property
20.2 Solving Quadratic Equations by Completing the Square
20.3 Solving Quadratic Equations by the Quadratic Formula
20.4 Equations Quadratic in Form
20.5 Formulas and Applications
20.6 Graphs of Quadratic Functions
20.7 More about Parabolas and Their Applications
20.8 Polynomial and Rational Inequalities
21. Inverse, Exponential, and Logarithmic Functions
21.1 Operations on Functions and Composition
21.2 Inverse Functions
21.3 Exponential Functions
21.4 Logarithmic Functions
21.5 Properties of Logarithms
21.6 Common and Natural Logarithms
21.7 Exponential and Logarithmic Equations and Their Applications
22. Nonlinear Functions, Conic Sections, and Nonlinear Systems
22.1 Additional Graphs of Functions; Operations and Composition
22.2 The Circle and the Ellipse
22.3 The Hyperbola and Other Functions Defined by Radicals
22.4 Nonlinear Systems of Equations
22.5 Second-Degree Inequalities and Systems of Inequalities
Appendix A. Inductive and Deductive Reasoning
Appendix B. Solving Systems of Linear Equations by Matrix Methods
Appendix C. Synthetic Division
