Prealgebra & Introductory Algebra

<div class="c-un-numbered-headers-and-contents-list__container"> <ol> <li><strong>The Whole Numbers</strong> <ul> <li>1.1 Study Skill Tips for Success in Mathematics</li> <li>1.2 Place Value, Names for Numbers, and Reading Tables</li> <li>1.3 Adding and Subtracting Whole Numbers, and Perimeter</li> <li>1.4 Rounding and Estimating</li> <li>1.5 Multiplying Whole Numbers and Area</li> <li>1.6 Dividing Whole Numbers <ul> <li>Integrated Review–Operations on Whole Numbers</li> </ul></li> <li>1.7 Exponents and Order of Operations</li> <li>1.8 Introduction to Variables, Algebraic Expressions, and Equations</li> </ul></li> <li><strong>Integers and Introduction to Solving Equations</strong> <ul> <li>2.1 Introduction to Integers</li> <li>2.2 Adding Integers</li> <li>2.3 Subtracting Integers</li> <li>2.4 Multiplying and Dividing Integers <ul> <li>Integrated Review–Integers</li> </ul></li> <li>2.5 Order of Operations</li> <li>2.6 Solving Equations: The Addition and Multiplication Properties</li> </ul></li> <li><strong>Solving Equations and Problem Solving</strong> <ul> <li>3.1 Simplifying Algebraic Expressions</li> <li>3.2 Solving Equations: Review of the Addition and Multiplication Properties <ul> <li>Integrated Review–Expressions and Equations</li> </ul></li> <li>3.3 Solving Linear Equations in One Variable</li> <li>3.4 Linear Equations in One Variable and Problem Solving</li> </ul></li> <li><strong>Fractions and Mixed Numbers</strong> <ul> <li>4.1 Introduction to Fractions and Mixed Numbers</li> <li>4.2 Factors and Simplest Form</li> <li>4.3 Multiplying and Dividing Fractions</li> <li>4.4 Adding and Subtracting Like Fractions, Least Common Denominator, and Equivalent Fractions</li> <li>4.5 Adding and Subtracting Unlike Fractions <ul> <li>Integrated Review–Summary on Fractions and Operations on Fractions</li> </ul></li> <li>4.6 Complex Fractions and Review of Order of Operations</li> <li>4.7 Operations on Mixed Numbers</li> <li>4.8 Solving Equations Containing Fractions</li> </ul></li> <li><strong>Decimals</strong> <ul> <li>5.1 Introduction to Decimals</li> <li>5.2 Adding and Subtracting Decimals</li> <li>5.3 Multiplying Decimals and Circumference of a Circle</li> <li>5.4 Dividing Decimals <ul> <li>Integrated Review–Operations on Decimals</li> </ul></li> <li>5.5 Fractions, Decimals, and Order of Operations</li> <li>5.6 Solving Equations Containing Decimals</li> <li>5.7 Decimal Applications: Mean, Median, and Mode</li> </ul></li> <li><strong>Ratio, Proportion, and Percent</strong> <ul> <li>6.1 Ratio and Proportion</li> <li>6.2 Percents, Decimals, and Fractions</li> <li>6.3 Solving Percent Problems with Equations</li> <li>6.4 Solving Percent Problems with Proportions <ul> <li>Integrated Review–Ratio, Proportion, and Percent</li> </ul></li> <li>6.5 Applications of Percent</li> <li>6.6 Percent and Problem Solving: Sales Tax, Commission, and Discount</li> <li>6.7 Percent and Problem Solving: Interest</li> </ul></li> <li><strong>Graphs, Triangle Applications, and Introduction to Statistics and Probability</strong> <ul> <li>7.1 Pictographs, Bar Graphs, Histograms, Line Graphs, and Introduction to Statistics</li> <li>7.2 Circle Graphs <ul> <li>Integrated Review–Reading Graphs</li> </ul></li> <li>7.3 Square Roots and the Pythagorean Theorem</li> <li>7.4 Congruent and Similar Triangles</li> <li>7.5 Counting and Introduction to Probability</li> </ul></li> <li><strong>Geometry and Measurement</strong> <ul> <li>8.1 Lines and Angles</li> <li>8.2 Perimeter</li> <li>8.3 Area, Volume, and Surface Area <ul> <li>Integrated Review–Geometry Concepts</li> </ul></li> <li>8.4 Linear Measurement</li> <li>8.5 Weight and Mass</li> <li>8.6 Capacity</li> <li>8.7 Temperature and Conversions Between the U.S. and Metric Systems</li> </ul></li> <li><strong>Equations, Inequalities, and Problem Solving</strong> <ul> <li>9.1 Symbols and Sets of Numbers</li> <li>9.2 Properties of Real Numbers</li> <li>9.3 Further Solving Linear Equations <ul> <li>Integrated Review–Real Numbers and Solving Linear Equations</li> </ul></li> <li>9.4 Further Problem Solving</li> <li>9.5 Formulas and Problem Solving</li> <li>9.6 Linear Inequalities and Problem Solving</li> </ul></li> <li><strong>Exponents and Polynomials</strong> <ul> <li>10.1 Exponents</li> <li>10.2 Negative Exponents and Scientific Notation</li> <li>10.3 Introduction to Polynomials</li> <li>10.4 Adding and Subtracting Polynomials</li> <li>10.5 Multiplying Polynomials</li> <li>10.6 Special Products <ul> <li>Integrated Review–Exponents and Operations on Polynomials</li> </ul></li> <li>10.7 Dividing Polynomials</li> </ul></li> <li><strong>Factoring Polynomials</strong> <ul> <li>11.1 The Greatest Common Factor and Factoring by Grouping</li> <li>11.2 Factoring Trinomials of the Form x²+ bx + c</li> <li>11.3 Factoring Trinomials of the Form ax²+ bx + c</li> <li>11.4 Factoring Trinomials of the Form ax²+ bx + c by Grouping</li> <li>11.5 Factoring Perfect Square Trinomials and the Difference of Two Squares <ul> <li>Integrated Review–Choosing a Factoring Strategy</li> </ul></li> <li>11.6 Solving Quadratic Equations by Factoring</li> <li>11.7 Quadratic Equations and Problem Solving</li> </ul></li> <li><strong>Rational Expressions</strong> <ul> <li>12.1 Simplifying Rational Expressions</li> <li>12.2 Multiplying and Dividing Rational Expressions</li> <li>12.3 Adding and Subtracting Rational Expressions with the Same Denominator and Least Common Denominator</li> <li>12.4 Adding and Subtracting Rational Expressions with Different Denominators</li> <li>12.5 Solving Equations Containing Rational Expressions <ul> <li>Integrated Review–Summary on Rational Expressions</li> </ul></li> <li>12.6 Rational Equations and Problem Solving</li> <li>12.7 Simplifying Complex Fractions</li> </ul></li> <li><strong>Graphing Equations and Inequalities</strong> <ul> <li>13.1 The Rectangular Coordinate System</li> <li>13.2 Graphing Linear Equations</li> <li>13.3 Intercepts</li> <li>13.4 Slope and Rate of Change</li> <li>13.5 Equations of Lines <ul> <li>Integrated Review–Summary on Linear Equations</li> </ul></li> <li>13.6 Introduction to Functions</li> <li>13.7 Graphing Linear Inequalities in Two Variables</li> <li>13.8 Direct and Inverse Variation</li> </ul></li> <li><strong>Systems of Equations</strong> <ul> <li>14.1 Solving Systems of Linear Equations by Graphing</li> <li>14.2 Solving Systems of Linear Equations by Substitution</li> <li>14.3 Solving Systems of Linear Equations by Addition <ul> <li>Integrated Review–Summary on Solving Systems of Equations</li> </ul></li> <li>14.4 Systems of Linear Equations and Problem Solving</li> </ul></li> <li><strong>Roots and Radicals</strong> <ul> <li>15.1 Introduction to Radicals</li> <li>15.2 Simplifying Radicals</li> <li>15.3 Adding and Subtracting Radicals</li> <li>15.4 Multiplying and Dividing Radicals <ul> <li>Integrated Review–Simplifying Radicals</li> </ul></li> <li>15.5 Solving Equations Containing Radicals</li> <li>15.6 Radical Equations and Problem Solving</li> </ul></li> <li><strong>Quadratic Equations</strong> <ul> <li>16.1 Solving Quadratic Equations by the Square Root Property</li> <li>16.2 Solving Quadratic Equations by Completing the Square</li> <li>16.3 Solving Quadratic Equations by the Quadratic Formula <ul> <li>Integrated Review–Summary on Solving Quadratic Equations</li> </ul></li> <li>16.4 Graphing Quadratic Equations in Two Variables</li> </ul></li> </ol> <h3>APPENDICES</h3> <ul> <li>A. Tables <ul> <li>A.1 Table of Geometric Figures</li> <li>A.2 Table of Percents, Decimals, and Fraction Equivalents</li> <li>A.3 Table on Finding Common Percents of a Number</li> <li>A.4 Table of Squares and Square Roots</li> </ul></li> <li>B. Factoring Sums and Differences of Cubes</li> <li>C. Mixture and Uniform Motion Problem Solving</li> <li>D. Systems of Linear Inequalities</li> <li>E. Geometric Formulas</li> </ul> <br> <h4 class="h5">Student Resources</h4> <ul> <li>Study Skills Builders</li> <li>Bigger Picture–Study Guide Outline</li> <li>Practice Final Exam</li> </ul> </div>