Chapter R Prealgebra Review
R.1 Factors and the Least Common Multiple
R.2 Fractions
R.3 Decimals and Percents
Chapter 1 Real Numbers and Introduction to Algebra
1.1 Tips for Success in Mathematics
1.2 Symbols and Sets of Numbers
1.3 Exponents, Order of Operations, and Variable Expressions
1.4 Adding Real Numbers
1.5 Subtracting Real Numbers
Integrated Review-Operations on Real Numbers
1.6 Multiplying and Dividing Real Numbers
1.7 Properties of Real Numbers
1.8 Simplifying Expressions
Chapter 2 Equations, Inequalities, and Problem Solving
2.1 The Addition Property of Equality
2.2 The Multiplication Property of Equality
2.3 Further Solving Linear Equations
Integrated Review-Solving Linear Equations
2.4 An Introduction to Problem Solving
2.5 Formulas and Problem Solving
2.6 Percent and Mixture Problem Solving
2.7 Solving Linear Inequalities
Chapter 3 Exponents and Polynomials
3.1 Exponents
3.2 Negative Exponents and Scientific Notation
3.3 Introduction to Polynomials
3.4 Adding and Subtracting Polynomials
3.5 Multiplying Polynomials
3.6 Special Products
Integrated Review-Exponents and Operations on Polynomials
3.7 Dividing Polynomials
Chapter 4 Factoring Polynomials
4.1 The Greatest Common Factor
4.2 Factoring Trinomials of the Form x(2) + bx + c
4.3 Factoring Trinomials of the Form ax(2) + bx + c
4.4 Factoring Trinomials of the Form ax(2) + bx + c, by Grouping
4.5 Factoring Perfect Square Trinomials and the Difference of Two Squares
Integrated Review-Choosing a Factoring Strategy
4.6 Solving Quadratic Equations by Factoring
4.7 Quadratic Equations and Problem Solving
Chapter 5 Rational Expressions
5.1 Simplifying Rational Expressions
5.2 Multiplying and Dividing Rational Expressions
5.3 Adding and Subtracting Rational Expressions with the Same Denominator and least Common Denominator
5.4 Adding and Subtracting Rational Expressions with Different Denominators
5.5 Solving Equations Containing Rational Expressions
Integrated Review-Summary on Rational Expressions
5.6 Proportion and Problem Solving
5.7 Simplifying Complex Fractions
Chapter 6 Graphing Equations and Inequalities
6.1 Reading Graphs and the Rectangular Coordinate System
6.2 Graphing Linear Equations
6.3 Intercepts
6.4 Slope and Rate of change
6.5 Equations of Lines
Integrated Review-Summary on Linear Equations
6.6 Introduction to Functions
6.7 Graphing Linear Inequalities in Two Variables
6.8 Direct and Inverse Variation
Chapter 7 Systems of Equations
7.1 Solving Systems of Linear Equations by Graphing
7.2 Solving Systems of Linear Equations by Substitution
7.3 Solving Systems of Linear Equations by Addition
Integrated Review-Summary on Solving Systems of Equations
7.4 Systems of Linear Equations and Problem Solving
Chapter 8 Roots and Radicals
8.1 Introduction to Radicals
8.2 Simplifying Radicals
8.3 Adding and Subtracting Radicals
8.4 Multiplying and Dividing Radicals
Integrated Review-Simplifying Radicals
8.5 Solving Equations Containing Radicals
8.6 Radical Equations and Problem Solving
Chapter 9 Quadratic Equations
9.1 Solving Quadratic Equations by the Square Root Property
9.2 Solving Quadratic Equations by Completing the Square
9.3 Solving Quadratic Equations by the Quadratic Formula
Integrated Review-Summary on Quadratic Equations
9.4 Graphing Quadratic Equations in Two Variables
Appendices
A The Bigger Picture
B Factoring Sums and Differences of Cubes
C Mean, Median, Mode
D Sets
E Review of Angles, Lines, and special Triangles
F Tables
Answers To Selected Exercises
Solutions to Selected Exercises
