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Elementary Algebra
A first algebra course
Solving for a letter, straight-line graphs, slope, square roots and the quadratic formula: every algebra move the physics course makes, practised slowly.
Contents
- Preface
1Foundations
2Solving Linear Equations and Inequalities
- Introduction
- 2.1Solve Equations Using the Subtraction and Addition Properties of Equality
- 2.2Solve Equations using the Division and Multiplication Properties of Equality
- 2.3Solve Equations with Variables and Constants on Both Sides
- 2.4Use a General Strategy to Solve Linear Equations
- 2.5Solve Equations with Fractions or Decimals
- 2.6Solve a Formula for a Specific Variable
- 2.7Solve Linear Inequalities
Chapter Review
Exercises
3Math Models
4Graphs
5Systems of Linear Equations
- Introduction
- 5.1Solve Systems of Equations by Graphing
- 5.2Solve Systems of Equations by Substitution
- 5.3Solve Systems of Equations by Elimination
- 5.4Solve Applications with Systems of Equations
- 5.5Solve Mixture Applications with Systems of Equations
- 5.6Graphing Systems of Linear Inequalities
Chapter Review
Exercises
7Factoring
- Introduction
- 7.1Greatest Common Factor and Factor by Grouping
- 7.2Factor Quadratic Trinomials with Leading Coefficient 1
- 7.3Factor Quadratic Trinomials with Leading Coefficient Other than 1
- 7.4Factor Special Products
- 7.5General Strategy for Factoring Polynomials
- 7.6Quadratic Equations
Chapter Review
Exercises
8Rational Expressions and Equations
- Introduction
- 8.1Simplify Rational Expressions
- 8.2Multiply and Divide Rational Expressions
- 8.3Add and Subtract Rational Expressions with a Common Denominator
- 8.4Add and Subtract Rational Expressions with Unlike Denominators
- 8.5Simplify Complex Rational Expressions
- 8.6Solve Rational Equations
- 8.7Solve Proportion and Similar Figure Applications
- 8.8Solve Uniform Motion and Work Applications
- 8.9Use Direct and Inverse Variation
Chapter Review
Exercises
9Roots and Radicals
10Quadratic Equations
- Index