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
Mid-Review
1.5 Applications and Problem Solving
Translating for Success
1.6 Exponential Notation and Order of Operation
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
Mid-Review
2.4 Mixed Numerals
2.5 Applications and Problem Solving
Translating for Success
2.6 Order of Operations and 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
Mid-Review
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 Notation and Fraction Notation
4.4 Solving Percent Problems Using Percent Equations
4.5 Solving Percent Problems Using Proportions
Mid-Review
4.6 Applications of Percent
Translating for Success
4.7 Sales Tax Commission, and Discount
4.8 Simple Interest and Compound Interest; Credit Cards
Summary and Review
Test
5: Data, Graphs, and Statistics
5.1 Interpreting Data from Tables and Graphs
5.2 Interpreting and Drawing Bar Graphs and Line Graphs
5.3 Descriptive Statistics
Mid-Review
5.4 Frequency Distributions and Histograms
5.5 Probability
Translating for Success
Summary and Review
Test
6: Geometry
6.1 Basic Geometric Figures
6.2 Perimeter
6.3 Area
6.4 Circles
Mid-Review
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
Mid-Review
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
Summary and Review
Test
8: Solving Equations and Inequalities
8.1 Solving Equations: The Addition Principle
8.2 Solving Equations: The Multiplication Principles
8.3 Using the Principles Together
8.4 Formulas
Mid-Review
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
Mid-Review
9.5 Graphing Using the Slope and the y-Intercept
9.6 Parallel Lines 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
Mid-Review
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: Polynomials: 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
Mid-Review
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
1.3 Least Common Multiples and Denominators
12.4 Adding Rational Expressions
12.5 Subtracting Rational Expressions
Mid-Review
12.6 Complex Rational Expressions
12.7 Solving Rational Equations
12.8 Applications Using Rational Equations and Proportions
Translating for Success
12.9 Direct Variation 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
Mid-Review
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
Mid-Review
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
Mid-Review
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 Measures: American Units and Metric Units
B Weight and Mass; Medical Applications
C Capacity; Medical Applications
D Time and Temperature
E Sers
F Factoring Sums or Differences of Cubes
G Finding Equations of Lines: Point-Slope Equations
H Equations Involving Absolute Value
I The Distance Formula and Midpoints
J Higher Roots; Rational Numbers as Exponents
K Inequalities and Interval Notation
L Nonlinear Inequalities
M Systems of Linear Inequalities
N The Complex Numbers
Answers
Guided Solutions
Photo Credits
Glossary
