Student Solutions Manual for Prealgebra & Introductory Algebra

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 and Subtracting Whole Numbers, and Perimeter
   • 1.4 Rounding and Estimating
   • 1.5 Multiplying Whole Numbers and Area
   • 1.6 Dividing Whole Numbers
     • Integrated Review–Operations on Whole Numbers
   • 1.7 Exponents and Order of Operations
   • 1.8 Introduction to Variables, Algebraic Expressions, and Equations
2. Integers and Introduction to Solving Equations
   • 2.1 Introduction to Integers
   • 2.2 Adding Integers
   • 2.3 Subtracting Integers
   • 2.4 Multiplying and Dividing Integers
     • Integrated Review–Integers
   • 2.5 Order of Operations
   • 2.6 Solving Equations: The Addition and Multiplication Properties
3. Solving Equations and Problem Solving
   • 3.1 Simplifying Algebraic Expressions
   • 3.2 Solving Equations: Review of the Addition and Multiplication Properties
     • Integrated Review–Expressions and Equations
   • 3.3 Solving Linear Equations in One Variable
   • 3.4 Linear Equations in One Variable and Problem Solving
4. Fractions and Mixed Numbers
   • 4.1 Introduction to Fractions and Mixed Numbers
   • 4.2 Factors and Simplest Form
   • 4.3 Multiplying and Dividing Fractions
   • 4.4 Adding and Subtracting Like Fractions, Least Common Denominator, and Equivalent Fractions
   • 4.5 Adding and Subtracting Unlike Fractions
     • Integrated Review–Summary on Fractions and Operations on Fractions
   • 4.6 Complex Fractions and Review of Order of Operations
   • 4.7 Operations on Mixed Numbers
   • 4.8 Solving Equations Containing Fractions
5. Decimals
   • 5.1 Introduction to Decimals
   • 5.2 Adding and Subtracting Decimals
   • 5.3 Multiplying Decimals and Circumference of a Circle
   • 5.4 Dividing Decimals
     • Integrated Review–Operations on Decimals
   • 5.5 Fractions, Decimals, and Order of Operations
   • 5.6 Solving Equations Containing Decimals
   • 5.7 Decimal Applications: Mean, Median, and Mode
6. Ratio, Proportion, and Percent
   • 6.1 Ratio and Proportion
   • 6.2 Percents, Decimals, and Fractions
   • 6.3 Solving Percent Problems with Equations
   • 6.4 Solving Percent Problems with Proportions
     • Integrated Review–Ratio, Proportion, and Percent
   • 6.5 Applications of Percent
   • 6.6 Percent and Problem Solving: Sales Tax, Commission, and Discount
   • 6.7 Percent and Problem Solving: Interest
7. Graphs, Triangle Applications, and Introduction to Statistics and Probability
   • 7.1 Pictographs, Bar Graphs, Histograms, Line Graphs, and Introduction to Statistics
   • 7.2 Circle Graphs
     • Integrated Review–Reading Graphs
   • 7.3 Square Roots and the Pythagorean Theorem
   • 7.4 Congruent and Similar Triangles
   • 7.5 Counting and Introduction to Probability
8. Geometry and Measurement
   • 8.1 Lines and Angles
   • 8.2 Perimeter
   • 8.3 Area, Volume, and Surface Area
     • Integrated Review–Geometry Concepts
   • 8.4 Linear Measurement
   • 8.5 Weight and Mass
   • 8.6 Capacity
   • 8.7 Temperature and Conversions Between the U.S. and Metric Systems
9. Equations, Inequalities, and Problem Solving
   • 9.1 Symbols and Sets of Numbers
   • 9.2 Properties of Real Numbers
   • 9.3 Further Solving Linear Equations
     • Integrated Review–Real Numbers and Solving Linear Equations
   • 9.4 Further Problem Solving
   • 9.5 Formulas and Problem Solving
   • 9.6 Linear Inequalities and Problem Solving
10. Exponents and Polynomials
    • 10.1 Exponents
    • 10.2 Negative Exponents and Scientific Notation
    • 10.3 Introduction to Polynomials
    • 10.4 Adding and Subtracting Polynomials
    • 10.5 Multiplying Polynomials
    • 10.6 Special Products
      • Integrated Review–Exponents and Operations on Polynomials
    • 10.7 Dividing Polynomials
11. Factoring Polynomials
    • 11.1 The Greatest Common Factor and Factoring by Grouping
    • 11.2 Factoring Trinomials of the Form x²+ bx + c
    • 11.3 Factoring Trinomials of the Form ax²+ bx + c
    • 11.4 Factoring Trinomials of the Form ax²+ bx + c by Grouping
    • 11.5 Factoring Perfect Square Trinomials and the Difference of Two Squares
      • Integrated Review–Choosing a Factoring Strategy
    • 11.6 Solving Quadratic Equations by Factoring
    • 11.7 Quadratic Equations and Problem Solving
12. Rational Expressions
    • 12.1 Simplifying Rational Expressions
    • 12.2 Multiplying and Dividing Rational Expressions
    • 12.3 Adding and Subtracting Rational Expressions with the Same Denominator and Least Common Denominator
    • 12.4 Adding and Subtracting Rational Expressions with Different Denominators
    • 12.5 Solving Equations Containing Rational Expressions
      • Integrated Review–Summary on Rational Expressions
    • 12.6 Rational Equations and Problem Solving
    • 12.7 Simplifying Complex Fractions
13. Graphing Equations and Inequalities
    • 13.1 The Rectangular Coordinate System
    • 13.2 Graphing Linear Equations
    • 13.3 Intercepts
    • 13.4 Slope and Rate of Change
    • 13.5 Equations of Lines
      • Integrated Review–Summary on Linear Equations
    • 13.6 Introduction to Functions
    • 13.7 Graphing Linear Inequalities in Two Variables
    • 13.8 Direct and Inverse Variation
14. Systems of Equations
    • 14.1 Solving Systems of Linear Equations by Graphing
    • 14.2 Solving Systems of Linear Equations by Substitution
    • 14.3 Solving Systems of Linear Equations by Addition
      • Integrated Review–Summary on Solving Systems of Equations
    • 14.4 Systems of Linear Equations and Problem Solving
15. Roots and Radicals
    • 15.1 Introduction to Radicals
    • 15.2 Simplifying Radicals
    • 15.3 Adding and Subtracting Radicals
    • 15.4 Multiplying and Dividing Radicals
      • Integrated Review–Simplifying Radicals
    • 15.5 Solving Equations Containing Radicals
    • 15.6 Radical Equations and Problem Solving
16. Quadratic Equations
    • 16.1 Solving Quadratic Equations by the Square Root Property
    • 16.2 Solving Quadratic Equations by Completing the Square
    • 16.3 Solving Quadratic Equations by the Quadratic Formula
      • Integrated Review–Summary on Solving Quadratic Equations
    • 16.4 Graphing Quadratic Equations in Two Variables

APPENDICES

• A. Tables
  • A.1 Table of Geometric Figures
  • A.2 Table of Percents, Decimals, and Fraction Equivalents
  • A.3 Table on Finding Common Percents of a Number
  • A.4 Table of Squares and Square Roots
• B. Factoring Sums and Differences of Cubes
• C. Mixture and Uniform Motion Problem Solving
• D. Systems of Linear Inequalities
• E. Geometric Formulas

Student Resources

• Study Skills Builders
• Bigger Picture–Study Guide Outline
• Practice Final Exam