- 1 Numbers of Algebra Preface vii
- Natural Numbers, Whole Numbers, and Integers
- Rational, Irrational, and Real Numbers
- Properties of the Real Numbers
- 2 Computation with Real Numbers
- Comparing Numbers and Absolute Value
- Addition and Subtraction of Signed Numbers
- Multiplication and Division of Signed Numbers
- 3 Roots and Radicals
- Squares, Square Roots, and Perfect Squares
- Cube Roots and nth Roots
- Simplifying Radicals
- 4 Exponentiation
- Exponents
- Natural Number Exponents
- Zero and Negative Integer Exponents
- Unit Fraction and Rational Exponents
- 5 Order of Operations
- Grouping Symbols
- PEMDAS
- 6 Algebraic Expressions iv Contents
- Algebraic Terminology
- Evaluating Algebraic Expressions
- Dealing with Parentheses
- 7 Rules for Exponents
- Product Rule
- Quotient Rule
- Rules for Powers
- Rules for Exponents Summary
- 8 Adding and Subtracting Polynomials
- Terms and Monomials
- Polynomials
- Like Terms
- Addition and Subtraction of Monomials
- Combining Like Terms
- Addition and Subtraction of Polynomials
- 9 Multiplying Polynomials
- Multiplying Monomials
- Multiplying Polynomials by Monomials
- Multiplying Binomials
- The FOIL Method
- Multiplying Polynomials
- Special Products
- 10 Simplifying Polynomial Expressions
- Identifying Polynomials
- Simplifying Polynomials
- 11 Dividing Polynomials
- Dividing a Polynomial by a Monomial
- Dividing a Polynomial by a Polynomial
- 12 Factoring Polynomials
- Factoring and Its Objectives
- Greatest Common Factor
- GCF with a Negative Coeffi cient
- A Quantity as a Common Factor
- Factoring Four Terms
- Factoring Quadratic Trinomials Contents v
- Perfect Trinomial Squares
- Factoring Two Terms
- Guidelines for Factoring
- 13 Rational Expressions
- Reducing Algebraic Fractions to Lowest Terms
- Multiplying Algebraic Fractions
- Dividing Algebraic Fractions
- Adding (or Subtracting) Algebraic Fractions, Like Denominators
- Adding (or Subtracting) Algebraic Fractions, Unlike Denominators
- Complex Fractions
- 14 Solving Linear Equations and Inequalities
- Solving One-Variable Linear Equations
- Solving Two-Variable Linear Equations for a Specifi c Variable
- Solving Linear Inequalities
- 15 Solving Quadratic Equations
- Solving Quadratic Equations of the Form ax^2 + c =
- Solving Quadratic Equations by Factoring
- Solving Quadratic Equations by Completing the Square
- Solving Quadratic Equations by Using the Quadratic Formula
- 16 The Cartesian Coordinate Plane
- Defi nitions for the Plane
- Ordered Pairs in the Plane
- Quadrants of the Plane
- Finding the Distance Between Two Points in the Plane
- Finding the Midpoint Between Two Points in the Plane
- Finding the Slope of a Line Through Two Points in the Plane
- Slopes of Parallel and Perpendicular Lines
- 17 Graphing Linear Equations
- Properties of a Line
- Graphing a Linear Equation That Is in Standard Form
- Graphing a Linear Equation That Is in Slope-y-Intercept Form
- 18 The Equation of a Line
- Determining the Equation of a Line Given the Slope and y-Intercept
- Determining the Equation of a Line Given the Slope and One Point on the Line
- Determining the Equation of a Line Given Two Distinct Points on the Line
- 19 Basic Function Concepts vi Contents
- Representations of a Function
- Terminology of Functions
- Some Common Functions
- 20 Systems of Equations
- Solutions to a System of Equations
- Solving a System of Equations by Substitution
- Solving a System of Equations by Elimination
- Solving a System of Equations by Graphing
- Answer Key
- Index
marvins-underground-k-12
(Marvins-Underground-K-12)
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