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Full 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.
Contents
Chapter 11.2Exponents and Order of Operations 1.3Geometry Review 1.4Sets of Numbers and Absolute Value 1.5Addition and Subtraction of Real Numbers 1.6Multiplication and Division of Real Numbers 1.7Algebraic Expressions and Properties of Real Numbers Chapter 2: The Rules of Exponents 2.1Basic Rules of Exponents Part AThe Product Rule and Power Rules Part BCombining the Rules 2.2Integer Exponents Part AReal-Number Bases Part BVariable Bases 2.3The Quotient Rule Putting It All Together 2.4Scientific Notation Chapter 3: Linear Equations and Inequalities 3.1Solving Linear Equations Part I 3.2Solving Linear Equations Part II 3.3Applications of Linear Equations 3.4Applications Involving Percentages 3.5Geometry Applications and Solving Formulas 3.6Applications of Linear Equations to Proportions, Money Problems, and d=rt 3.7Solving Linear Inequalities in One Variable 3.8Solving Compound Inequalities Chapter 4: Linear Equations in Two Variables 4.1Introduction to Linear Equations in Two Variables 4.2Graphing by Plotting Points and Finding Intercepts 4.3The Slope of a Line 4.4The Slope-Intercept Form of a Line 4.5Writing an Equation of a Line 4.6Introduction to Functions Chapter 5: Solving Systems of Linear Equations 5.1Solving Systems by Graphing 5.2Solving Systems by Substitution 5.3Solving Systems by the Elimination Method Putting It All Together 5.4Applications of Systems of Two Equations 5.5 Systems of Three Equations and Applications Chapter 6: Polynomials 6.1Review of the Rules of Exponents 6.2Addition and Subtraction of Polynomials 6.3Multiplication of Polynomials 6.4Division of Polynomials Chapter 7: Factoring Polynomials 7.1The Greatest Common Factor and Factoring by Grouping 7.2Factoring Trinomials of the Form x2+bx+c 7.3Factoring Trinomials of the Form ax2+bx+c (a'1) 7.4Factoring Special Trinomials and Binomials Putting It All Together 7.5 Solving Quadratic Equations by Factoring 7.6Applications of Quadratic Equations Chapter 8: Rational Expressions 8.1Simplifying Rational Expressions 8.2Multiplying and Dividing Rational Expressions 8.3Finding the Least Common Denominator 8.4Adding and Subtracting Rational Expressions Putting It All Together 8.5Simplifying Complex Fractions 8.6Solving Rational Equations 8.7Applications of Rational Equations Chapter 9: More Equations and Inequalities 9.1Solving Absolute Value Equations 9.2Solving Absolute Value Inequalities 9.3Solving Linear and Compound Linear Inequalities in Two Variables 9.4Solving Systems of Linear Equations Using Matrices Chapter 10: Radicals and Rational Exponents 10.1 Finding Roots 10.2 Rational Exponents 10.3 Simplifying Expressions Containing Square Roots 10.4 Simplifying Expressions Containing Higher Roots 10.5 Adding, Subtracting, and Multiplying Radicals 10.6 Dividing Radicals Putting It All Together 10.7 Solving Radical Equations 10.8 Complex Numbers Chapter 11: Quadratic Equations 11.1 Review of Solving Equations by Factoring 11.2 The Square Root Property and Completing the Square 11.3 The Quadratic Formula Putting It All Together 11.6 Equations in Quadratic Form 11.7 Formulas and Applications Chapter 12: Functions and their Graphs 12.1 Relations and Functions 12.2 Graphs of Functions and Transformations 12.3 Quadratic Functions and Their Graphs 12.4 Applications of Quadratic Functions and Graphing Other Parabolas 12.5 The Algebra of Functions 12.6 Variation Chapter 13: Exponential, and Logarithmic Functions 13.1 Inverse Functions 13.2 Exponential Functions 13.3 Logarithmic Functions 13.4 Properties of Logarithms 13.5 Common and Natural Logarithms and Change of Base 13.6 Solving Exponential and Logarithmic Equations Chapter 14: Conic Sections, Nonlinear Inequalities, and Nonlinear Systems 14.1 The Circle 14.2 The Ellipse and the Hyperbola Putting It All Together 14.3 Nonlinear Systems of Equations 14.4 Quadratic and Rational Inequalities Chapter 15: Sequences and Series (Online Only) 15.1 Sequences and Series 15.2 Arithmetic Sequences and Series 15.3 Geometric Sequences and Series 15.4 The Binomial Theorem Appendix: Beginning Algebra Review A1The Real Number System and Geometry A2Variables and Exponents A3Linear Equations and Inequalities A4Linear Equations in Two Variables and Functions A5Solving Systems of Linear Equations A6Polynomials A7Factoring Polynomials A8Rational Expressions
