**Content is from Tussy/Koenig, Prealgebra, 6th edition and Tussy/Gustafson, Elementary Intermediate Algebra, 6th edition. **
Tussy/Koenig, Prealgebra, 6th Edition:
1. WHOLE NUMBERS.
An Introduction to the Whole Numbers. Adding and Subtracting Whole Numbers. Multiplying Whole Numbers. Dividing Whole Numbers. Prime Factors and Exponents. The Least Common Multiple and the Greatest Common Factor. Order of Operations. Solving Equations Using Addition and Subtraction. Solving Equations Using Multiplication and Division. Chapter Summary and Review. Chapter Test.
2. THE INTEGERS.
An Introduction to the Integers. Adding Integers. Subtracting Integers. Multiplying Integers. Dividing Integers. Order of Operations and Estimation. Solving Equations That Involve Integers. Chapter Summary and Review. Chapter Test. Cumulative Review.
3. THE LANGUAGE OF ALGEBRA.
Algebraic Expressions. Evaluating Algebraic Expressions and Formulas. Simplifying Algebraic Expressions and the Distributive Property. Combining Like Terms. Simplifying Expressions to Solve Equations. Using Equations to Solve Application Problems. Chapter Summary and Review. Chapter Test. Cumulative Review.
4. FRACTIONS AND MIXED NUMBERS.
An Introduction to Fractions. Multiplying Fractions. Dividing Fractions. Adding and Subtracting Fractions. Multiplying and Dividing Mixed Numbers. Adding and Subtracting Mixed Numbers. Order of Operations and Complex Fractions. Solving Equations That Involve Fractions. Chapter Summary and Review. Chapter Test. Cumulative Review.
5. DECIMALS.
An Introduction to Decimals. Adding and Subtracting Decimals. Multiplying Decimals. Dividing Decimals. Fractions and Decimals. Square Roots. Solving Equations That Involve Decimals. Chapter Summary and Review. Chapter Test. Cumulative Review.
6. RATIO, PROPORTION, AND MEASUREMENT.
Ratios and Rates. Proportions. American Units of Measurement. Metric Units of Measurement; Medical Applications. Converting between American and Metric Units. Chapter Summary and Review. Chapter Test. Cumulative Review.
7. PERCENT.
Percents, Decimals, and Fractions. Solving Percent Problems Using Percent Equations and Proportions. Applications of Percent. Estimation with Percent. Interest. Chapter Summary and Review. Chapter Test. Cumulative Review.
8. GRAPHS AND STATISTICS.
Reading Graphs and Tables. Mean, Median, and Mode. Probability. Equations in Two Variables: The Rectangular Coordinate System. Graphing Linear Equations. Chapter Summary and Review. Chapter Test. Cumulative Review.
9. AN INTRODUCTION TO GEOMETRY.
Basic Geometric Figures; Angles. Parallel and Perpendicular Lines. Polygons and Triangles. The Pythagorean Theorem. Congruent Triangles and Similar Triangles. Quadrilaterals and Other Polygons. Perimeters and Areas of Polygons. Circles. Volume. Chapter Summary and Review. Chapter Test. Cumulative Review.
10. EXPONENTS AND POLYNOMIALS.
Multiplication Rules for Exponents. Introduction to Polynomials. Adding and Subtracting Polynomials. Multiplying Polynomials. Chapter Summary and Review. Chapter Test. Cumulative Review.
Appendix 1 .
Roots and Powers.
Appendix 2 .
Answers to Selected Exercises.
Tussy/Gustafson, Elementary Intermediate Algebra, 6th Edition.
1. AN INTRODUCTION TO ALGEBRA.
Introducing the Language of Algebra. Fractions. The Real Numbers. Adding Real Numbers; Properties of Addition. Subtracting Real Numbers. Multiplying and Dividing Real Numbers; Multiplication and Division Properties. Exponents and Order of Operations. Algebraic Expressions. Simplifying Algebraic Expressions Using Properties of Real Numbers. Chapter Summary. Chapter Test.
2. EQUATIONS, INEQUALITIES, AND PROBLEM SOLVING.
Solving Equations Using Properties of Equality. More about Solving Equations. Applications of Percent. Formulas. Problem Solving. More about Problem Solving. Solving Inequalities. Chapter Summary. Chapter Test.
3. GRAPHING LINEAR EQUATIONS AND INEQUALITIES IN TWO VARIABLES; FUNCTIONS.
Graphing Using the Rectangular Coordinate System. Graphing Linear Equations. Intercepts. Slope and Rate of Change. Slope-Intercept Form. Point-Slope Form. Graphing Linear Inequalities. An Introduction to Functions. Chapter Summary. Chapter Test.
4. SYSTEMS OF LINEAR EQUATIONS AND INEQUALITIES.
Solving Systems of Equations by Graphing. Solving Systems of Equations by Substitution. Solving Systems of Equations by Elimination (Addition). Problem Solving Using Systems of Equations. Solving Systems of Linear Inequalities. Chapter Summary. Chapter Test.
5. EXPONENTS AND POLYNOMIALS.
Rules for Exponents. Zero and Negative Exponents. Scientific Notation. Polynomials. Adding and Subtracting Polynomials. Multiplying Polynomials. Special Products. Polynomials. Chapter Summary. Chapter Test.
6. FACTORING AND QUADRATIC EQUATIONS.
The Greatest Common Factor; Factoring by Grouping. Factoring Trinomials of the Form x2 + bx + c. Factoring Trinomials of the Form ax2 + bx + c. Factoring Perfect-Square Trinomials and the Difference of Two Squares. Factoring the Sum and Difference of Two Cubes. A Factoring Strategy. Solving Quadratic Equations by Factoring. Applications of Quadratic Equations. Chapter Summary. Chapter Test.
7. RATIONAL EXPRESSIONS AND EQUATIONS.
Simplifying Rational Expressions. Multiplying and Dividing Rational Expressions. Adding and Subtracting with Like Denominators; Least Common Denominators. Adding and Subtracting with Unlike Denominators. Simplifying Complex Fractions. Solving Rational Equations. Problem Solving Using Rational Equations. Ratios, Rates, Proportions and Similar Triangles. Chapter Summary. Chapter Test. Cumulative Review Chapters 1–7.
8. TRANSITION TO INTERMEDIATE ALGEBRA.
Review of Solving Linear Equations, Formulas, and Linear Inequalities; Applications. Functions. Graphs of Functions. Solving Compound Inequalities. Solving Absolute Value Equations and Inequalities. Review of Factoring Methods: GCF, Grouping, Trinomials. Review of Factoring Methods: The Difference of Two Squares; The Sum and Difference of Two Cubes. Review of Rational Expressions and Rational Equations; Rational Functions. Variation. Chapter Summary. Chapter Test.
9. RADICAL EXPRESSIONS AND EQUATIONS.
Radical Expressions and Radical Functions. Rational Exponents. Simplifying and Combining Radical Expressions. Multiplying and Dividing Radical Expressions. Solving Radical Equations. Geometric Applications of Radicals. Complex Numbers. Chapter Summary. Chapter Test.
10. QUADRATIC EQUATIONS, FUNCTIONS, AND INEQUALITIES.
The Square Root Property and Completing the Square. The Quadratic Formula. The Discriminant and Equations That Can Be Written in Quadratic Form. Quadratic Functions and Their Graphs. Quadratic and Other Nonlinear Inequalities. Chapter Summary. Chapter Test.
11. EXPONENTIAL AND LOGARITHMIC FUNCTIONS.
Algebra and Composition of Functions. Inverse Functions. Exponential Functions. Base-e Exponential Functions. Logarithmic Functions. Base-e Logarithmic Functions. Properties of Logarithms. Exponential and Logarithmic Equations. Chapter Summary. Chapter Test.
12. MORE ON SYSTEMS OF EQUATIONS.
Solving Systems of Equations in Two Variables; Applications. Solving Systems of Equations in Three Variables. Problem Solving Using Systems of Three Equations. Solving Systems of Equations Using Matrices. Solving Systems of Equations Using Determinants. Chapter Summary. Chapter Test.
13. CONIC SECTIONS; MORE GRAPHING.
The Circle and the Parabola. The Ellipse. The Hyperbola. Solving Nonlinear Systems of Equations. Chapter Summary. Chapter Test.
14. MISCELLANEOUS TOPICS.
The Binomial Theorem. Arithmetic Sequences and Series. Geometric Sequences and Series. Chapter Summary. Chapter Test. Group Project. Cumulative Review Chapters 8–14.
Appendix 1: Synthetic Division.
Appendix 2: Answers to Selected Problems.