Overview
Main description
Building a Better Path to Success!
Connecting Knowledge – Sherri prepares her students for success by refreshing their knowledge of arithmetic. By helping students see the connection between arithmetic and algebra, Sherri found that her students were more confident in their abilities as they progressed through the course. This classroom tested practice was integrated into the texts so that both instructors and students could benefit. Messersmith accomplishes this by including arithmetic examples for most sections before the use of algebraic examples. Also, the author has developed through classroom use a series of Basic Skills Worksheets that can easily be integrated into the classroom.
Presenting Concepts in “Bite Size” Pieces – By breaking down the sections into manageable pieces, the author has identified the core places where students traditionally struggle and then assists them in understanding that material to be successful moving forward.
Mastering Concepts - With the textbook and Connect Mathematics hosted by ALEKS, a new online homework and assessment tool, students can practice and master their understanding of algebraic concepts.
Messersmith is rigorous enough to prepare students for the next level yet easy to read and understand. The exposition is written as if a professor is teaching in a lecture to be more accessible to students. The language is mathematically sound yet easy enough for students to understand.
Table of contents
Chapter 1: The Real Number System and Geometry1.1 Review of Fractions1.2 Exponents and Order of Operations1.3 Geometry Review1.4 Sets of Numbers and Absolute Value1.5 Addition and Subtraction of Real Numbers1.6 Multiplication and Division of Real Numbers1.7 Algebraic Expressions and Properties of Real Numbers
Chapter 2: The Rules of Exponents2.1 Basic Rules of ExponentsPart A The Product Rule and Power RulesPart B Combining the Rules2.2 Integer ExponentsPart A Real-Number BasesPart B Variable Bases2.3 The Quotient RulePutting It All Together2.4 Scientific Notation
Chapter 3: Linear Equations and Inequalities3.1 Solving Linear Equations Part I3.2 Solving Linear Equations Part II3.3 Applications of Linear Equations3.4 Applications Involving Percentages3.5 Geometry Applications and Solving Formulas3.6 Applications of Linear Equations to Proportions, Money Problems, and d=rt3.7 Solving Linear Inequalities in One Variable3.8 Solving Compound Inequalities
Chapter 4: Linear Equations in Two Variables4.1 Introduction to Linear Equations in Two Variables4.2 Graphing by Plotting Points and Finding Intercepts4.3 The Slope of a Line4.4 The Slope-Intercept Form of a Line4.5 Writing an Equation of a Line4.6 Introduction to Functions
Chapter 5: Solving Systems of Linear Equations5.1 Solving Systems by Graphing5.2 Solving Systems by Substitution5.3 Solving Systems by the Elimination MethodPutting It All Together5.4 Applications of Systems of Two Equations5.5 Systems of Three Equations and Applications
Chapter 6: Polynomials6.1 Review of the Rules of Exponents6.2 Addition and Subtraction of Polynomials6.3 Multiplication of Polynomials6.4 Division of Polynomials
Chapter 7: Factoring Polynomials7.1 The Greatest Common Factor and Factoring by Grouping7.2 Factoring Trinomials of the Form x2+bx+c7.3 Factoring Trinomials of the Form ax2+bx+c (a≠1)7.4 Factoring Special Trinomials and BinomialsPutting It All Together7.5 Solving Quadratic Equations by Factoring7.6 Applications of Quadratic Equations
Chapter 8: Rational Expressions8.1 Simplifying Rational Expressions8.2 Multiplying and Dividing Rational Expressions8.3 Finding the Least Common Denominator8.4 Adding and Subtracting Rational ExpressionsPutting It All Together8.5 Simplifying Complex Fractions8.6 Solving Rational Equations8.7 Applications of Rational Equations
Chapter 9: More Equations and Inequalities9.1 Solving Absolute Value Equations9.2 Solving Absolute Value Inequalities9.3 Solving Linear and Compound Linear Inequalities in Two Variables 9.4 Solving Systems of Linear Equations Using Matrices
Chapter 10: Radicals and Rational Exponents10.1 Finding Roots10.2 Rational Exponents10.3 Simplifying Expressions Containing Square Roots10.4 Simplifying Expressions Containing Higher Roots10.5 Adding, Subtracting, and Multiplying Radicals10.6 Dividing RadicalsPutting It All Together10.7 Solving Radical Equations10.8 Complex Numbers
Chapter 11: Quadratic Equations11.1 Review of Solving Equations by Factoring11.2 The Square Root Property and Completing the Square11.3 The Quadratic FormulaPutting It All Together11.6 Equations in Quadratic Form11.7 Formulas and Applications
Chapter 12: Functions and their Graphs12.1 Relations and Functions12.2 Graphs of Functions and Transformations12.3 Quadratic Functions and Their Graphs12.4 Applications of Quadratic Functions and Graphing Other Parabolas12.5 The Algebra of Functions12.6 Variation
Chapter 13: Exponential, and Logarithmic Functions 13.1 Inverse Functions13.2 Exponential Functions13.3 Logarithmic Functions13.4 Properties of Logarithms13.5 Common and Natural Logarithms and Change of Base13.6 Solving Exponential and Logarithmic Equations
Chapter 14: Conic Sections, Nonlinear Inequalities, and Nonlinear Systems14.1 The Circle14.2 The Ellipse and the Hyperbola Putting It All Together14.3 Nonlinear Systems of Equations14.4 Quadratic and Rational Inequalities
Chapter 15: Sequences and Series (Online Only)15.1 Sequences and Series15.2 Arithmetic Sequences and Series15.3 Geometric Sequences and Series15.4 The Binomial Theorem
Appendix: Beginning Algebra ReviewA1 The Real Number System and GeometryA2 Variables and ExponentsA3 Linear Equations and InequalitiesA4 Linear Equations in Two Variables and FunctionsA5 Solving Systems of Linear EquationsA6 PolynomialsA7 Factoring PolynomialsA8 Rational Expressions
