Note: every chapter concludes with a Chapter Summary and Review and a Chapter Test.
1. Whole Numbers
1.1 Standard Notation; Order
1.2 Addition and Subtraction
1.3 Multiplication and Division; Rounding and Estimating
1.4 Solving Equations
1.5 Applications and Problem Solving
Translating for Success
1.6 Exponential Notation and Order of Operations
1.7 Factorizations
1.8 Divisibility
1.9 Least Common Multiples
Summary and Review
Test
2. Fraction Notation
2.1 Fraction Notation and Simplifying
2.2 Multiplication and Division
2.3 Addition and Subtraction; Order
2.4 Mixed Numerals
2.5 Applications and Problem Solving
Translating for Success
2.6 Order of Operations; Estimation
Summary and Review
Test
3. Decimal Notation
3.1 Decimal Notation, Order, and Rounding
3.2 Addition and Subtraction
3.3 Multiplication
3.4 Division
3.5 Converting from Fraction Notation to Decimal Notation
3.6 Estimating
3.7 Applications and Problem Solving
Translating for Success
Summary and Review
Test
4. Percent Notation
4.1 Ratio and Proportion
4.2 Percent Notation
4.3 Percent and Fraction Notation
4.4 Solving Percent Problems Using Percent Equations
4.5 Solving Percent Problems Using Proportions
4.6 Applications of Percent
Translating for Success
4.7 Sales Tax, Commission, Discount, and Interest
4.8 Interest Rates on Credit Cards and Loans
Summary and Review
Test
5. Data, Graphs, and Statistics
5.1 Averages, Medians, and Modes
5.2 Tables and Pictographs
5.3 Bar Graphs and Line Graphs
5.4 Circle Graphs
Translating for Success
Summary and Review
Test
6. Geometry
6.1 Basic Geometric Figures
6.2 Perimeter
6.3 Area
6.4 Circles
6.5 Volume and Surface Area
6.6 Relationships Between Angle Measures
6.7 Congruent Triangles and Properties of Parallelograms
6.8 Similar Triangles
Translating for Success
Summary and Review
Test
7. Introduction to Real Numbers and Algebraic Expressions
7.1 Introduction to Algebra
7.2 The Real Numbers
7.3 Addition of Real Numbers
7.4 Subtraction of Real Numbers
7.5 Multiplication of Real Numbers
7.6 Division of Real Numbers
7.7 Properties of Real Numbers
7.8 Simplifying Expressions; Order of Operations
Translating for Success
Summary and Review
Test
8. Solving Equations and Inequalities
8.1 Solving Equations: The Addition Principle
8.2 Solving Equations: The Multiplication Principle
8.3 Using the Principles Together
8.4 Formulas
8.5 Applications of Percent
8.6 Applications and Problem Solving
Translating for Success
8.7 Solving Inequalities
8.8 Applications and Problem Solving with Inequalities
Summary and Review
Test
9. Graphs of Linear Equations
9.1 Graphs and Applications of Linear Equations
9.2 More with Graphing and Intercepts
Visualizing for Success
9.3 Slope and Applications
9.4 Equations of Lines
9.5 Graphing Using the Slope and the y-Intercept
9.6 Parallel and Perpendicular Lines
9.7 Graphing Inequalities in Two Variables
Visualizing for Success
Summary and Review
Test
10. Polynomials: Operations
10.1 Integers as Exponents
10.2 Exponents and Scientific Notation
10.3 Introduction to Polynomials
10.4 Addition and Subtraction of Polynomials
10.5 Multiplication of Polynomials
10.6 Special Products
Visualizing for Success
10.7 Operations with Polynomials in Several Variables
10.8 Division of Polynomials
Summary and Review
Test
11. Factoring
11.1 Introduction to Factoring
11.2 Factoring Trinomials of the Type x2 + bx + c
11.3 Factoring ax2 + bx + c, a 1: The FOIL Method
11.4 Factoring ax2 + bx + c, a 1: The ac-Method
11.5 Factoring Trinomial Squares and Differences of Squares
11.6 Factoring: A General Strategy
11.7 Solving Quadratic Equations by Factoring
11.8 Applications of Quadratic Equations
Translating for Success
Summary and Review
Test
12. Rational Expressions and Equations
12.1 Multiplying and Simplifying Rational Expressions
12.2 Division and Reciprocals
12.3 Least Common Multiples and Denominators
12.4 Adding Rational Expressions
12.5 Subtracting Rational Expressions
12.6 Solving Rational Equations
12.7 Applications Using Rational Equations and Proportions
Translating for Success
12.8 Complex Rational Expressions
12.9 Direct and Inverse Variation
Summary and Review
Test
13. Systems of Equations
13.1 Systems of Equations in Two Variables
13.2 The Substitution Method
13.3 The Elimination Method
13.4 Applications and Problem Solving
13.5 Applications with Motion
Translating for Success
Summary and Review
Test
14. Radical Expressions and Equations
14.1 Introduction to Radical Expressions
14.2 Multiplying and Simplifying with Radical Expressions
14.3 Quotients Involving Radical Expressions
14.4 Addition, Subtraction, and More Multiplication
14.5 Radical Equations
14.6 Applications with Right Triangles
Translating for Success
Summary and Review
Test
15. Quadratic Equations
15.1 Introduction to Quadratic Equations
15.2 Solving Quadratic Equations by Completing the Square
15.3 The Quadratic Formula
15.4 Formulas
15.5 Applications and Problem Solving
Translating for Success
15.6 Graphs of Quadratic Equations
Visualizing for Success
15.7 Functions
Summary and Review
Test
Appendixes
A. Linear Measure: American and Metric Units
B. Weight and Mass; Medical Applications
C. Capacity; Medical Applications
D. Time and Temperature
E. Sets
F. Factoring Sums or Differences of Cubes
G. Finding Equations of Lines: Point - Slope Equation
H. Equations Involving Absolute Value
I. The Distance Formula and Midpoints
J. Higher Roots, and Rational Numbers as Exponents
K. Nonlinear Inequalities
L. Systems of Linear Inequalities
M. Probability
N. Applying Reasoning Skills
O. Multistep Applied Problems
P. THEA Practice Test
Q. THEA Test Mathematics Skills
