- 4 Addition and Subtraction
- Moving Up and Down
- Identity, Grouping, and Signs
- The Commutative Law for Addition
- The Associative Law for Addition
- Practice Exercises
- 5 Multiplication and Division
- Moving Out and In
- Identity, Grouping, and Signs
- The Commutative Law for Multiplication
- The Associative Law for Multiplication
- The Distributive Laws
- Practice Exercises
- 6 Fractions Built of Integers
- “Messy” Quotients
- “Reducing” a Fraction or Ratio
- Multiplying and Dividing Fractions
- Adding and Subtracting Fractions
- Practice Exercises
- 7 Decimal Fractions
- Powers of
- Terminating Decimals
- Endless Decimals
- Conversions
- Practice Exercises
- 8 Powers and Roots
- Integer Powers
- Reciprocal-of-Integer Powers
- Multiplying and Dividing with Exponents
- Multiple Powers
- Practice Exercises
- 9 Irrational and Real Numbers
- The Number Hierarchy
- More About Irrationals and Reals
- How Real Variables Behave
- More Rules for Real Variables
- Practice Exercises
- 10 Review Questions and Answers
- 11 Equations and Inequalities Part 2 Linear Equations and Relations
- Equation Morphing Revisited
- Inequalities
- How Inequalities Behave
- Inequality Morphing
- Practice Exercises
- 12 First-Degree Equations in One Variable
- Constants, Sums, and Differences
- Products and Ratios
- Combinations of Operations
- Word Problems
- Practice Exercises
- 13 Mappings, Relations, and Functions
- Mapping “Territories”
- Types of Mappings
- Examples of Relations
- Examples of Functions
- Practice Exercises
- 14 The Cartesian Plane
- Two Number Lines
- Three Relations
- Three Functions
- Practice Exercises
- 15 Graphs of Linear Relations
- Slope-Intercept Form
- Point-Slope Form
- Equations from Graphs
- Practice Exercises
- 16 Two-by-Two Linear Systems
- Morph and Mix
- Double Elimination
- Rename and Replace
- Practice Exercises
- 17 Two-by-Two Linear Graphs
- We Morphed, We Mixed, We Can Graph
- We Added, We Eliminated, We Can Graph
- We Renamed, We Replaced, We Can Graph x Contents
- We Couldn’t Solve, but We Can Graph
- Practice Exercises
- 18 Larger Linear Systems
- Eliminate One Variable
- Solve the Two-by-Two
- Substitute Back
- General Linear Systems
- Practice Exercises
- 19 The Matrix Morphing Game
- How to Build a Matrix
- Matrix Operations
- A Sample Problem
- Practice Exercises
- 20 Review Questions and Answers
- 21 Imaginary and Complex Numbers Part 3 Nonlinear Equations and Relations
- The Square Root of −
- The Imaginary Number Line
- Real + Imaginary = Complex
- Practice Exercises
- 22 Quadratic Equations with Real Roots
- Second-Degree Polynomials
- Binomial Factor Form
- Completing the Square
- The Quadratic Formula
- Practice Exercises
- 23 Quadratic Equations with Complex Roots
- Complex Roots by Formula
- Imaginary Roots in Factors
- Conjugate Roots in Factors
- Practice Exercises
- 24 Graphs of Quadratic Functions
- Two Real Zeros
- One Real Zero
- No Real Zeros Contents xi
- Practice Exercises
- 25 Cubic Equations in Real Numbers
- Cube of Binomial
- Three Binomial Factors
- Binomial Times Trinomial
- Polynomial Equation of Third Degree
- Practice Exercises
- 26 Polynomial Equations in Real Numbers
- Binomial to the nth Power
- Binomial Factors
- Polynomial Standard Form
- Digging for Real Roots
- Practice Exercises
- 27 More Two-by-Two Systems
- Linear and Quadratic
- Two Quadratics
- Enter the Cubic
- Practice Exercises
- 28 More Two-by-Two Graphs
- Linear and Quadratic
- Two Quadratics
- Enter the Cubic
- Practice Exercises
- 29 Logarithms and Exponentials
- What Is a Logarithm?
- How Logarithms Work
- What Is an Exponential?
- How Exponentials Work
- Practice Exercises
- 30 Review Questions and Answers
- Final Exam
- Appendix A Worked-Out Solutions to Exercises: Chapters 1 to
- Appendix B Worked-Out Solutions to Exercises: Chapters 11 to
- Appendix C Worked-Out Solutions to Exercises: Chapters 21 to
- Appendix D Answers to Final Exam Questions xii Contents
- Appendix E Special Characters in Order of Appearance
- Suggested Additional Reading
- Index
marvins-underground-k-12
(Marvins-Underground-K-12)
#1