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1. Whole Numbers
1.1 Standard Notation
1.2 Addition
1.3 Subtraction
1.4 Multiplication
1.5 Division
1.6 Rounding and Estimating; Order
1.7 Solving Equations
1.8 Applications and Problem Solving
1.9 Exponential Notation and Order of Operations
2. Fraction Notation: Multiplication and Division
2.1 Factorizations
2.2 Divisibility
2.3 Fractions and Fraction Notation
2.4 Multiplication and Applications
2.5 Simplifying
2.6 Multiplying, Simplifying, and Applications.
2.7 Division and Applications
3. Fraction Notation and Mixed Numerals
3.1 Least Common Multiples
3.2 Addition and Applications
3.3 Subtraction, Order, and Applications
3.4 Mixed Numerals
3.5 Addition and Subtraction Using Mixed Numerals; Applications
3.6 Multiplication and Division Using Mixed Numerals; Applications
3.7 Order of Operations, Complex Fractions, and Estimation.
4. Decimal Notation
4.1 Decimal Notation, Order, and Rounding
4.2 Addition and Subtraction
4.3 Multiplication
4.4 Division
4.5 Converting from Fraction Notation to Decimal Notation
4.6 Estimating
4.7 Applications and Problem Solving
5. Ratio and Proportion
5.1 Introduction to Ratios
5.2 Rates and Unit Prices
5.3 Proportions
5.4 Applications of Proportions
5.5 Geometric Applications
6. Percent Notation
6.1 Percent Notation
6.2 Percent Notation and Fraction Notation
6.3 Solving Percent Problems Using Percent Equations
6.4 Solving Percent Problems Using Proportions
6.5 Applications of Percent
6.6 Sales Tax, Commission, and Discount
6.7 Simple Interest and Compound Interest; Credit Cards
7. Data, Graphs, and Statistics
7.1 Averages, Medians, and Modes
7.2 Interpreting Data from Tables and Graphs
7.3 Interpreting and Drawing Bar Graphs and Line Graphs
7.4 Interpreting and Drawing Circle Graphs
8. Measurement
8.1 Linear Measures: American Units
8.2 Linear Measures: Metric Units
8.3 Converting Between American Units and Metric Units
8.4 Weight and Mass; Medical Applications
8.5 Capacity; Medical Applications
8.6 Time and Temperature
8.7 Converting Units of Area
9. Geometry
9.1 Perimeter
9.2 Area
9.3 Circles
9.4 Volume
9.5 Angles and Triangles
9.6 Square Roots and the Pythagorean Theorem
10. Introduction to Real Numbers and Algebraic Expressions
10.1 Introduction to Algebra
10.2 The Real Numbers
10.3 Addition of Real Numbers
10.4 Subtraction of Real Numbers
10.5 Multiplication of Real Numbers
10.6 Division of Real Numbers
10.7 Properties of Real Numbers
10.8 Simplifying Expressions; Order of Operations
11. Solving Equations and Inequalities
11.1 Solving Equations: The Addition Principle
11.2 Solving Equations: The Multiplication Principle
11.3 Using the Principles Together
11.4 Formulas
11.5 Applications of Percent
11.6 Applications and Problem Solving with Inequalities
12. Graphs of Linear Equations
12.1 Graphs of Linear Equations
12.2 Graphing Linear Equations
12.3 More with Graphing and Intercepts
12.4 Slope and Applications
13. Polynomials: Operations
13.1 Integers as Exponents
13.2 Exponents and Scientific Notation
13.3 Introduction to Polynomials
13.4 Addition and Subtraction od Polynomials
13.5 Multiplication of Polynomials
13.6 Special Products
13.7 Operations with Polynomials in Several Variables
13.8 Division of Polynomials
14. Polynomials: Factoring
14.1 Factoring Sums or Differences of Cubes
14.2 Factoring: A General Strategy
14.3 Solving Quadratic Equations by Factoring
14.4 Applications of Quadratic Equations
14.5 Introduction to Factoring
14.6 Factoring Trinomials of the Type x^{2} + bx + c
14.7 Factoring ax^{2} + bx + c, a≠ 1: The FOIL Method
14.8 Factoring ax^{2} + bx + c, a ≠ 1: The ac-Method
14.9 Factoring Trinomial Squares and Difference of Squares
15. Rational Expressions and Equations
15.1 Multiplying and Simplifying Rational Expressions
15.2 Division and Reciprocals
15.3 Least Common Multiples and Denominators
15.4 Adding Rational Expressions
15.5 Subtracting Rational Expressions
15.6 Complex Rational Expressions
15.7 Solving Rational Equations
15.8 Applications Using Rational Equations and Proportions
15.9 Variation and Applications
16. Graphs, Functions, and Applications
16.1 Functions and Graphs
16.2 Finding Domain and Range
16.3 Linear Functions: Graphs and Slope
16.4 More on Graphing Linear Equations
16.5 Finding Equations of Lines; Applications
17. Systems of Equations
17.1 Systems of Equations in Two Variables
17.2 Solving by Substitution
17.3 Solving by Elimination
17.4 Solving Applied Problems: Two Equations
17.5 Systems of Equations in Three Variables
17.6 Solving Applied Problems: Three Equations
18. More on Inequalities
18.1 Sets, Inequalities, and Interval Notation
18.2 Intersections, Unions, and Compound Inequalities
18.3 Absolute-Value Equations and inequalities
18.4 Systems of Inequalities in Two Variables
19. Radical Expressions, Equations, and Functions
19.1 Radical Expressions and Functions
19.2 Rational Numbers as Exponents
19.3 Simplifying Radical Expressions
19.4 Addition, Subtraction, and More Multiplication
19.5 More on Division of Radical Expressions
19.6 Solving Radical Equations
19.7 Applications Involving Powers and Roots
19.8 The Complex Numbers
20. Quadratic Equations and Functions
20.1 The Basics of Solving Quadratic Equations
20.2 The Quadratic Formula
20.3 Applications Involving Quadratic Equations
20.4 More on Quadratic Equations
20.5 Graphing f(x) = a(x - h)2 + k
20.6 Graphing f(x) = ax2 + bx + c
20.7 Mathematical Modeling with Quadratic functions
20.8 Polynomial Inequalities and Rational lnequalities
21. Exponential Functions and Logarithmic Functions
21.1 Exponential Functions
21.2 Composite Functions and Inverse Functions
21.3 Logarithmic Functions
21.4 Properties of Logarithmic Functions
21.5 Natural Logarithmic Functions
21.6 Solving Exponential Equations and Logarithmic Equations
21.7 Mathematical Modeling with Exponential Functions and Logarithmic Functions