Student Solutions Manual for Prealgebra

<p><strong>Pretest: Whole Numbers Computation </strong></p> <p><strong>1. Introduction to Algebra: Integers</strong></p> <p><strong>Study Skills </strong>Your Brain Can Learn Mathematics</p> <p><strong>1.1 </strong>Place Value</p> <p><strong>Study Skills </strong>Using Your Text</p> <p><strong>1.2 </strong>Introduction to Integers</p> <p><strong>Study Skills </strong>Homework: How, Why, and When</p> <p><strong>1.3 </strong>Adding Integers</p> <p><strong>1.4 </strong>Subtracting Integers</p> <p><strong>1.5 </strong>Problem Solving: Rounding and Estimating</p> <p><strong>1.6 </strong>Multiplying Integers</p> <p><strong>1.7 </strong>Dividing Integers</p> <p><strong>Summary Exercises </strong>Operations with Integers </p> <p><strong>Study Skills </strong>Taking Lecture Notes</p> <p><strong>1.8 </strong>Exponents and Order of Operations</p> <p><strong>Study Skills </strong>Reviewing a Chapter</p> <p><strong>Study Skills </strong>Managing Your Time</p> <p><strong>2. Understanding Variables and Solving Equations</strong></p> <p><strong>2.1 </strong>Introduction to Variables</p> <p><strong>Study Skills </strong>Using Study Cards</p> <p><strong>2.2 </strong>Simplifying Expressions</p> <p><strong>Study Skills </strong>Using Study Cards Revisited</p> <p><strong>Summary Exercises </strong>Variables and Expressions</p> <p><strong>2.3 </strong>Solving Equations Using Addition</p> <p><strong>2.4 </strong>Solving Equations Using Division</p> <p><strong>2.5 </strong>Solving Equations with Several Steps</p> <p><strong>Study Skills </strong>Tips for Taking Math Tests</p> <p><strong>3. Solving Application Problems </strong></p> <p><strong>3.1 </strong>Problem Solving: Perimeter</p> <p><strong>3.2 </strong>Problem Solving: Area</p> <p><strong>Summary Exercises </strong>Perimeter and Area </p> <p><strong>3.3 </strong>Solving Application Problems with One Unknown Quantity</p> <p><strong>3.4 </strong>Solving Application Problems with Two Unknown Quantities</p> <p><strong>Study Skills </strong>Tips for Improving Test Scores</p> <p><strong>4. Rational Numbers: Positive and Negative Fractions</strong></p> <p><strong>4.1 </strong>Introduction to Signed Fractions</p> <p><strong>4.2 </strong>Writing Fractions in Lowest Terms</p> <p><strong>4.3 </strong>Multiplying and Dividing Signed Fractions</p> <p><strong>4.4 </strong>Adding and Subtracting Signed Fractions</p> <p><strong>Study Skills </strong>Making a Mind Map</p> <p><strong>4.5 </strong>Problem Solving: Mixed Numbers and Estimating</p> <p><strong>Summary Exercises </strong>Computation with Fractions </p> <p><strong>4.6 </strong>Exponents, Order of Operations, and Complex Fractions</p> <p><strong>4.7 </strong>Problem Solving: Equations Containing Fractions</p> <p><strong>4.8 </strong>Geometry Applications: Area and Volume</p> <p><strong>Study Skills </strong>Analyzing Your Test Results</p> <p><strong>5. Rational Numbers: Positive and Negative Decimals</strong></p> <p><strong>5.1 </strong>Reading and Writing Decimal Numbers</p> <p><strong>5.2 </strong>Rounding Decimal Numbers</p> <p><strong>5.3 </strong>Adding and Subtracting Signed Decimal Numbers</p> <p><strong>5.4 </strong>Multiplying Signed Decimal Numbers</p> <p><strong>5.5 </strong>Dividing Signed Decimal Numbers <strong> Summary Exercises </strong>Computation with Decimal Numbers </p> <p><strong>5.6 </strong>Fractions and Decimals</p> <p><strong>5.7 </strong>Problem Solving with Statistics: Mean, Median, and Mode</p> <p><strong>5.8 </strong>Geometry Applications: Pythagorean Theorem and Square Roots</p> <p><strong>5.9 </strong>Problem Solving: Equations Containing Decimals</p> <p><strong>5.10 </strong>Geometry Applications: Circles, Cylinders, and Surface Area</p> <p><strong>6. Ratio, Proportion, and Line/ Angle/Triangle Relationships </strong></p> <p><strong>6.1 </strong>Ratios</p> <p><strong>6.2 </strong>Rates</p> <p><strong>6.3 </strong>Proportions</p> <p><strong>Summary Exercises </strong>Ratios, Rates, and Proportions </p> <p><strong>6.4 </strong>Problem Solving with Proportions</p> <p><strong>6.5 </strong>Geometry: Lines and Angles</p> <p><strong>6.6 </strong>Geometry Applications: Congruent and Similar Triangles</p> <p><strong>7. Percent </strong></p> <p><strong>7.1 </strong>The Basics of Percent</p> <p><strong>7.2 </strong>The Percent Proportion</p> <p><strong>7.3 </strong>The Percent Equation</p> <p><strong>Summary Exercises </strong>Percent Computation </p> <p><strong>7.4 </strong>Problem Solving with Percent</p> <p><strong>7.5 </strong>Consumer Applications: Sales Tax, Tips, Discounts, and Simple Interest</p> <p><strong>Study Skills </strong>Preparing for Your Final Exam</p> <p><strong>8. Measurement </strong></p> <p><strong>8.1 </strong>Problem Solving with U.S. Measurement Units</p> <p><strong>8.2 </strong>The Metric System–Length <strong> 8.3 </strong>The Metric System–Capacity and Weight (Mass)</p> <p><strong>Summary Exercises </strong>U.S. and Metric Measurement Units </p> <p><strong>8.4 </strong>Problem Solving with Metric Measurement</p> <p><strong>8.5 </strong>Metric—U.S. Measurement Conversions and Temperature</p> <p><strong>9. Graphs and Graphing </strong></p> <p><strong>9.1 </strong>Problem Solving with Tables and Pictographs</p> <p><strong>9.2 </strong>Reading and Constructing Circle Graphs</p> <p><strong>9.3 </strong>Bar Graphs and Line Graphs</p> <p><strong>9.4 </strong>The Rectangular Coordinate System</p> <p><strong>9.5 </strong>Introduction to Graphing Linear Equations</p> <p><strong>10. Exponents and Polynomials </strong></p> <p><strong>10.1 </strong>The Product Rule and Power Rules for Exponents</p> <p><strong>10.2 </strong>Integer Exponents and the Quotient Rule</p> <p><strong>Summary Exercises </strong>Using Exponent Rules </p> <p><strong>10.3 </strong>An Application of Exponents: Scientific Notation</p> <p><strong>10.4 </strong>Adding and Subtracting Polynomials</p> <p><strong>10.5 </strong>Multiplying Polynomials: An Introduction</p> <p><strong>R. Whole Numbers Review </strong></p> <p><strong>R.1 </strong>Adding Whole Numbers</p> <p><strong>R.2 </strong>Subtracting Whole Numbers</p> <p><strong>R.3 </strong>Multiplying Whole Numbers</p> <p><strong>R.4 </strong>Dividing Whole Numbers</p> <p><strong>R.5 </strong>Long Division</p> <p><strong>8.3 </strong>The Metric System–Capacity and Weight (Mass)</p> <p><strong>Summary Exercises </strong>U.S. and Metric Measurement Units </p> <p><strong>8.4 </strong>Problem Solving with Metric Measurement</p> <p><strong>8.5 </strong>Metric—U.S. Measurement Conversions and Temperature</p> <p><strong>Appendix: Inductive and Deductive Reasoning </strong></p>