Instructor's Solutions Manual for Basic College Mathematics with Early Integers

1. The Whole Numbers



    1.1 Study Skill Tips for Success in Mathematics

    1.2 Place Value, Names for Numbers, and Reading Tables

    1.3 Adding Whole Numbers and Perimeter

    1.4 Subtracting Whole Numbers

    1.5 Rounding and Estimating

    1.6 Multiplying Whole Numbers and Area

    1.7 Dividing Whole Numbers

Integrated Review – Operations on Whole Numbers

    1.8 An Introduction to Problem Solving

    1.9 Exponents, Square Roots, and Order of Operations






2. Integers and Introduction to Variables



    2.1 Introduction to Variables and Algebraic Expressions

    2.2 Introduction to Integers

    2.3 Adding Integers

    2.4 Subtracting Integers

Integrated Review - Integers

    2.5 Multiplying and Dividing Integers

    2.6 Order of Operations






3. Fractions and Mixed Numbers



    3.1 Introduction to Fractions and Mixed Numbers

    3.2 Factors and Simplest Form

    3.3 Multiplying and Dividing Fractions

    3.4 Adding and Subtracting Like Fractions, Least Common Denominator and Equivalent Fractions

Integrated Review – Summary on Fractions and Operations on Fractions

    3.5 Adding and Subtracting Unlike Fractions

    3.6 Complex Fractions, Order of Operations, and Mixed Numbers

    3.7 Operations on Mixed Numbers






4. Decimals



    4.1 Introduction to Decimals

    4.2 Adding and Subtracting Decimals

    4.3 Multiplying Decimals and Circumference of a Circle

    4.4 Dividing Decimals

Integrated Review – Operations on Decimals

    4.5 Fractions, Decimals, and Order of Operations

    4.6 Square Roots and the Pythagorean Theorem






5. Ratio, Proportion, and Measurement



    5.1 Ratios

    5.2 Proportions

    5.3 Proportions and Problem Solving

Integrated Review – Ratio and Proportion

    5.4 Length: U.S. and Metric Systems of Measurement

    5.5 Weight and Mass: U.S. and Metric Systems of Measurement

    5.6 Capacity: U.S. and Metric Systems of Measurement

    5.7 Conversions Between the U.S. and Metric Systems






6. Percent



    6.1 Percents, Decimals, and Fractions

    6.2 Solving Percent Problems Using Equations

    6.3 Solving Percent Problems Using Proportions

Integrated Review – Percent and Percent Problems

    6.4 Applications of Percent

    6.5 Percent and Problem Solving: Sales Tax, Commision, and Discount

    6.6 Percent and Problem Solving: Interest






7. Reading Graphs and Introduction to Statistics and Probability



    7.1 Pictographs, Bar Graphs, Histograms, and Line Graphs

    7.2 Circle Graphs

Integrated Review – Reading Graphs

    7.3 Mean, Median, Mode, and Range

    7.4 Counting and Introduction to Probability






8. Introduction to Algebra



    8.1 Introduction to Variables

    8.2 Solving Equations: The Addition Property

    8.3 Solving Equations: The Multiplication Property

Integrated Review – Expressions and Equations

    8.4 Solving Equations Using Addition and Multiplication Properties

    8.5 Equations and Problem Solving






9. Geometry



    9.1 Lines and Angles

    9.2 Plane Figures and Solids

    9.3 Perimeter

    9.4 Area

    9.5 Volume and Surface Area

Integrated Review – Geometry Concepts

    9.6 Congruent and Similar Triangles






Appendices



Appendix A: Tables

Appendix B: Exponents and Polynomials

Appendix C: Inductive and Deductive Reasoning