# Beginning Algebra

Problem Recognition Exercisesâ€”Addition and Subtraction of Real Numbers

1.6Multiplication and Division of Real NumbersProblem Recognition Exercisesâ€”Adding, Subtracting, Multiplying, and Dividing Real Numbers

1.7Properties of Real Numbers and Simplifying ExpressionsChapter 2:Linear Equations and Inequalities 2.1Addition, Subtraction, Multiplication, and Division Properties of Equality2.2Solving Linear Equations2.3Linear Equations: Clearing Fractions and DecimalsProblem Recognition Exercisesâ€”Equations vs.Expressions

2.4Applications of Linear Equations: Introduction to Problem Solving2.5Applications Involving Percents2.6Formulas and Applications of Geometry2.7Mixture Applications and Uniform Motion2.8Linear InequalitiesChapter 3:Graphing Linear Equations in Two Variables 3.1Rectangular Coordinate System3.2Linear Equations in Two Variables3.3Slope of a Line and Rate of Change3.4Slope-Intercept Form of a Linear EquationProblem Recognition Exercisesâ€”Linear Equations in Two Variables

3.5Point-Slope Formula3.6Applications of Linear Equations and ModelingChapter 4:Systems of Linear Equations in Two Variables 4.1Solving Systems of Equations by the Graphing Method4.2Solving Systems of Equations by the Substitution Method4.3Solving Systems of Equations by the Addition MethodProblem Recognition Exercisesâ€”Systems of Equations

4.4Applications of Linear Equations in Two Variables4.5Linear Inequalities and Systems of Inequalities in Two VariablesChapter 5:Polynomials and Properties of Exponents 5.1Multiplying and Dividing Expressions with Common Bases5.2More Properties of Exponents5.3Definitions of*b^0*and

*b^-n*Problem Recognition Exercisesâ€”Properties of Exponents5.4Scientific Notation5.5Addition and Subtraction of Polynomials5.6Multiplication of Polynomials and Special Products5.7Division of Polynomials

Problem Recognition Exercisesâ€”Operations on Polynomials

Chapter 6:Factoring Polynomials 6.1Greatest Common Factor and Factoring by Grouping6.2Factoring Trinomials of the Form x^2 + bx + c 6.3Factoring Trinomials: Trial-and-Error Method6.4Factoring Trinomials: AC-Method6.5Difference of Squares and Perfect Square Trinomials6.6Sum and Difference of CubesProblem Recognition Exercisesâ€”Factoring Strategy

6.7Solving Equations Using the Zero Product RuleProblem Recognition Exercisesâ€” Polynomial Expressions versus Polynomial Equations

6.8Applications of Quadratic EquationsChapter 7:Rational Expressions and Equations7.1Introduction to Rational Expressions7.2Multiplication and Division of Rational Expressions7.3Least Common Denominator7.4Addition and Subtraction of Rational ExpressionsProblem Recognition Exercisesâ€”Operations on Rational Expressions

7.5Complex Fractions7.6Rational EquationsProblem Recognition Exercisesâ€”Comparing Rational Equations and Rational Expressions

7.7Applications of Rational Equations and Proportions7.8VariationChapter 8:Radicals 8.1Introduction to Roots and Radicals8.2Simplifying Radicals8.3Addition and Subtraction of Radicals8.4Multiplication of Radicals8.5Division of Radicals and RationalizationProblem Recognition Exercisesâ€”Operations on Radicals

8.6Radical Equations8.7Rational ExponentsChapter 9:Quadratic Equations, Complex Numbers, and Functions 9.1The Square Root Property9.2Completing the Square9.3Quadratic FormulaProblem Recognition Exercisesâ€”Solving Different Types of Equations

9.4Complex Numbers9.5Graphing Quadratic Equations9.6Introduction to Functions Additional Topics Appendix A.1Decimals and PercentsA.2Mean, Median, and ModeA.3Introduction to GeometryA.4Converting Units of MeasurementLeaves warehouse in 5 - 8 business days

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