The material is presented as a sequence of small, and clear steps to conceptual understanding. The order of topics wascarefully planned to emphasize the logical progression throughout the course and to facilitate a thorough understandingof each concept. As new ideas are presented, they are explicitly related to previous topics.Chapter 1: FoundationsChapter 1 reviews arithmetic operations with whole numbers, integers, fractions, decimals and real numbers, togive the student a solid base that will support their study of algebra.Chapter 2: Solving Linear Equations and InequalitiesIn Chapter 2, students learn to solve linear equations using the Properties of Equality and a general strategy.They use a problem-solving strategy to solve number, percent, mixture and uniform motion applications. Solvinga formula for a specific variable, and also solving both linear and compound inequalities is presented.Chapter 3: Graphs and FunctionsChapter 3 covers the rectangular coordinate system where students learn to plot graph linear equations in twovariables, graph with intercepts, understand slope of a line, use the slope-intercept form of an equation of a line,find the equation of a line, and create graphs of linear inequalities. The chapter also introduces relations andPreface1

functions as well as graphing of functions.Chapter 4: Systems of Linear EquationsChapter 4 covers solving systems of equations by graphing, substitution, and elimination; solving applicationswith systems of equations, solving mixture applications with systems of equations, and graphing systems of linearinequalities. Systems of equations are also solved using matrices and determinants.Chapter 5: Polynomials and Polynomial FunctionsIn Chapter 5, students learn how to add and subtract polynomials, use multiplication properties of exponents,multiply polynomials, use special products, divide monomials and polynomials, and understand integer exponentsand scientific notation.Chapter 6: FactoringIn Chapter 6, students learn the process of factoring expressions and see how factoring is used to solve quadraticequations.Chapter 7: Rational Expressions and FunctionsIn Chapter 7, students work with rational expressions, solve rational equations and use them to solve problems ina variety of applications, and solve rational inequalities.Chapter 8: Roots and RadicalIn Chapter 8, students simplify radical expressions, rational exponents, perform operations on radical expressions,and solve radical equations. Radical functions and the complex number system are introducedChapter 9: Quadratic EquationsIn Chapter 9, students use various methods to solve quadratic equations and equations in quadratic form andlearn how to use them in applications. Students will graph quadratic functions using their properties and bytransformations.