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1. AN INTRODUCTION TO ALGEBRA | |
Describing Numerical Relationships | |
Fractions and Decimals | |
The Real Numbers | |
Adding and Subtracting Real Numbers | |
Multiplying and Dividing Real Numbers | |
Exponents and Order of Operations | |
Algebraic Expressions | |
Key Concept: Variables | |
2. EQUATIONS, INEQUALITIES, AND PROBLEM SOLVING | |
Solving Equations | |
Problem Solving | |
Simplifying Algebraic Expressions | |
Simplifying Algebraic Expressions | |
More About Solving Equations | |
Formulas | |
More Problem Solving | |
Inequalities | |
Key Concept: Simplify and Solve | |
3. GRAPHS, LINEAR EQUATIONS, AND FUNCTIONS | |
Graphing Using the Rectangular Coordinate System | |
Equations Containing Two Variables | |
Graphing Linear Equations | |
Rate of Change and the Slope of a Line | |
Describing Linear Relationships | |
Writing Linear Equations | |
Functions | |
Key Concept: Describing Linear Relationships | |
4. EXPONENTS AND POLYNOMIALS | |
Natural-Number Exponents | |
Zero and Negative Integer Exponents | |
Scientific Notation | |
Polynomials | |
Adding and Subtracting Polynomials | |
Multiplying Polynomials | |
Dividing Polynomials by Monomials | |
Dividing Polynomials by Polynomials | |
Key Concept: Polynomials | |
5. FACTORING AND QUADRATIC EQUATIONS | |
Factoring Out the Greatest Common Factor and Factoring by Grouping | |
Factoring Trinomials of the Form x2 + bx + c | |
Factoring Trinomials of the Form ax2 + bx + c | |
Special Factorizations and a Factoring Strategy | |
Quadratic Equations | |
Key Concept: Factoring | |
6. RATIONAL EXPRESSIONS AND EQUATIONS | |
Simplifying Rational Expressions | |
Multiplying and Dividing Rational Expressions | |
Adding and Subtracting Rational Expressions | |
Complex Fractions | |
Rational Equations and Problem Solving | |
Proportions and Similar Triangles | |
Variation | |
Key Concept: Expressions and Equations | |
7. SOLVING SYSTEMS OF EQUATIONS AND INEQUALITIES | |
Solving Systems of Equations by Graphing | |
Solving Systems of Equations by Substitution | |
Solving Systems by Addition | |
Applications of Systems of Equations | |
Graphing Linear Inequalities | |
Solving Systems of Linear Equations | |
Key Concept: Systems of Equations and Inequalities | |
8. ROOTS AND RADICALS | |
Square Roots | |
Higher Order Roots and Radicands That Contain Variables | |
Simplifying Radical Expressions | |
Adding and Subtracting Radical Expressions | |
Multiplying and Dividing Radical Expressions | |
Solving Radical Equations: The Distance Formula | |
Rational Exponents | |
Key Concept: Inverse Operations | |
9. QUADRATIC EQUATIONS | |
Completing the Square | |
The Quadratic Formula | |
Graphing Quadratic Functions | |
Key Concept: Quadratic Equations | |
APPENDIXES | |
I | |
Statistics | |
II | |
Roots and Powers |
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