Integrated Arithmetic and Basic Algebra

Bill Jordan received his BS from Rollins College and his MAT from Tulane University. A decorated teacher for more than 40 years, Jordan has served as the chair of the math department at Seminole Community College and has taught at Rollins College. He has been a member and leader of numerous professional organizations, including the Florida Two-Year College Mathematical Association (president), Florida Council of Teachers of Mathematics (district director), and others. In his spare time, he enjoys fishing, traveling, and hiking.

• R. Basic IdeasR.1 Reading and Writing NumeralsR.2 Addition and Subtraction of Whole NumbersR.3 Multiplication and Division of Whole NumbersR.4 A Brief Introduction to FractionsR.5 Addition and Subtraction of Decimal NumeralsR.6 Multiplication and Division of Decimal NumeralsR.7 Linear Measurement in the American and Metric Systems1. Adding and Subtracting Integers and Polynomials1.1 Variables, Exponents, and Order of Operations1.2 Perimeters of Geometric Figures1.3 Areas of Geometric Figures1.4 Volumes and Surface Areas of Geometric Figures1.5 Introduction to Integers1.6 Addition of Integers1.7 Subtraction of Integers and Combining Like Terms1.8 Polynomial Definitions and Combining Polynomials2. Laws of Exponents, Products and Quotients of Integers and Polynomials2.1 Multiplication of Integers2.2 Multiplication Laws of Exponents2.3 Products of Polynomials2.4 Special Products2.5 Division of Integers and Order of Operations with Integers2.6 Quotient Rule and Integer Exponents2.7 Power Rule for Quotients and Using Combined Laws of Exponents2.8 Division of Polynomials by Monomials2.9 An Application of Exponents: Scientific Notation3. Linear Equations and Inequalities3.1 Addition Property of Equality3.2 Multiplication Property of Equality3.3 Combining Properties in Solving Linear Equations3.4 Using and Solving Formulas3.5 General, Consecutive Integer, and Distance Application Problems3.6 Money, Investment, and Mixture Application Problems3.7 Geometric Application Problems3.8 Solving Linear Inequalities4. Graphing Linear Equations and Inequalities4.1 Reading Graphs and the Cartesian Coordinate System4.2 Graphing Linear Equations with Two Variables4.5 Graphing Linear Equations by Using Intercepts4.4 Slope of a Line4.5 Slope-Intercept Form of a Line4.6 Point-Slope Form of a Line4.7 Graphing Linear Inequalities with Two Variables4.8 Relations and Functions5. Factors, Divisors, and Factoring5.1 Prime Factorization and Greatest Common Factor5.2 Factoring Polynomials with Common Factors and by Grouping5.3 Factoring General Trinomials with Leading Coefficients of One5.4 Factoring General Trinomials with Leading Coefficients Other than One5.5 Factoring Binomials5.6 Factoring Perfect Square Trinomials5.7 Mixed Factoring5.8 Solving Quadratic Equations by Factoring6. Multiplication and Division of Rational Numbers and Expressions6.1 Reducing Rational Numbers and Rational Expressions6.2 Further Reduction of Rational Expressions6.3 Multiplication of Rational Numbers and Expressions6.4 Further Multiplication of Rational Expressions6.5 Division of Rational Numbers and Expressions6.6 Division of Polynomials (Long Division)7. Addition and Subtraction of Rational Numbers and Expressions7.1 Addition and Subtraction of Rational Numbers and Expressions with Like Denominators7.2 Least Common Multiple and Equivalent Rational Expressions7.3 The Least Common Denominator of Fractions and Rational Expressions7.4 Addition and Subtraction of Rational Numbers and Expressions with Unlike Denominators7.5 Complex Fractions7.6 Solving Equations Containing Rational Numbers and Expressions7.7 Applications with Rational Expressions8. Ratios, Percents, and Applications8.1 Ratios and Rates8.2 Proportions8.3 Percent8.4 Applications of Percent8.5 Further Applications of Percent9. Systems of Linear Equations9.1 Defining Linear Systems and Solving by Graphing9.2 Solving Systems of Linear Equations by Using Elimination by Addition9.3 Solving Systems of Linear Equations by Using Substitution9.4 Solving Application Problems by Using Systems of Equations9.5 Systems of Linear Inequalities10. Roots and Radicals10.1 Defining and Finding Roots10.2 Simplifying Radicals10.3 Products and Quotients of Radicals10.4 Addition, Subtraction, and Mixed Operations with Radicals10.5 Rationalizing the Denominator10.6 Solving Equations with Radicals10.7 Pythagorean Theorem11. Solving Quadratic Equations11.1 Solving Incomplete Quadratic Equations11.2 Solving Quadratic Equations by Completing the Square11.3 Solving Quadratic Equations by the Quadratic Formula11.4 Quadratic Equations with Complex Solutions11.5 Applications Involving Quadratic Equations