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Schaum's Outlines-Problem Solved.
Author(s): Barnett Rich, Philip Schmidt
Series: Schaum's Outline Series
Edition: 3
Publisher: McGraw-Hill Education
Year: 2009
Language: English
Pages: 384
Contents
CHAPTER 1 From Arithemetic to Algebra
1. Representing Numbers by Letters
2. Interchanging Numbers in Addition
3. Interchanging Numbers in Multiplication
4. Symbolizing the Operations in Algebra
5. Expressing Addition and Subtraction Algebraically
6. Expressing Multiplication and Division Algebraically
7. Expressing Two or More Operations Algebraically
8. Order in Which Fundamental Operations Are Performed
9. The Uses of Parentheses: Changing the Order of Operations
10. Multiplying Factors in Terms: Numerical and Literal Coefficients
11. Repeated Multiplying of a Factor: Base, Exponent, and Power
12. Combining Like and Unlike Terms
CHAPTER 2 Simple Equations and Their Solutions
1. Kinds of Equalities: Equations and Identities
2. Translating Verbal Statements into Equations
3. Solving Simple Equations by Using Inverse Operations
4. Rules of Equality for Solving Equations
5. Using Division to Solve an Equation
6. Using Multiplication to Solve an Equation
7. Using Subtraction to Solve an Equation
8. Using Addition to Solve an Equation
9. Using Two or More Operations to Solve an Equation
CHAPTER 3 Signed Numbers
1. Understanding Signed Numbers: Positive and Negative Numbers
2. Using Number Scales for Signed Numbers
3. Adding Signed Numbers
4. Simplifying the Addition of Signed Numbers
5. Subtracting Signed Numbers
6. Multiplying Signed Numbers
7. Finding Powers of Signed Numbers
8. Dividing Signed Numbers
9. Evaluating Expressions Having Signed Numbers
CHAPTER 4 Introduction to Monomials and Polynomials
1. Understanding Monomials and Polynomials
2. Adding Monomials
3. Arranging and Adding Polynomials
4. Subtracting Monomials
5. Subtracting Polynomials
6. Using Parentheses and Other Grouping Symbols to Add or Subtract Polynomials
7. Multiplying Monomials and Powers of the Same Base
8. Multiplying a Polynomial by a Monomial
9. Multiplying Polynomials
10. Dividing Powers and Monomials
11. Dividing a Polynomial by a Monomial
12. Dividing a Polynomial by a Polynomial
CHAPTER 5 First-Degree Equations
1. Reviewing the Solution of First-Degree Equations Having Positive Roots
2. Solving First-Degree Equations Having Negative Solutions
3. Solving Equations by Transposing
4. Solving Equations Containing Parentheses
5. Solving Equations Containing One Fraction or Fractions Having the Same Denominator
6. Solving Equations Containing Fractions Having Different Denominators: Lowest Common Denominator
7. Solving Equations Containing Decimals
8. Solving Literal Equations
9. The Graphing Calculator
CHAPTER 6 Formulas
1. Points and Lines
2. Understanding Polygons, Circles, and Solids
3. Formulas for Perimeters and Circumferences: Linear Measure
4. Formulas for Areas: Square Measure
5. Formulas for Volumes: Cubic Measure
6. Deriving Formulas
7. Transforming Formulas
8. Finding the Value of an Unknown in a Formula
CHAPTER 7 Graphs of Linear Equations
1. Understanding Graphs
2. Graphing Linear Equations
3. Solving a Pair of Linear Equations Graphically
4. Deriving a Linear Equation from a Table of Values
5. Midpoint of a Segment
6. Distance between Two Points
CHAPTER 8 Introduction to Simultaneous Equations
1. Solving a Pair of Equations by Addition or Subtraction
2. Solving a Pair of Equations by Substitution
CHAPTER 9 Problem Solving and Mathematical Modeling
1. Number Problems Having One Unknown: Introduction to Problem Solving
2. Number Problems Having Two Unknowns
3. Consecutive-Integer Problems
4. Age Problems
5. Ratio Problems
6. Angle Problems
7. Perimeter Problems
8. Coin or Stamp Problems
9. Cost and Mixture Problems
10. Investment or Interest Problems
11. Motion Problems
12. Mathematical Modeling
CHAPTER 10 Products and Factoring
1. Understanding Factors and Products
2. Factoring a Polynomial Having a Common Monomial Factor
3. Squaring a Monomial
4. Finding the Square Root of a Monomial
5. Finding the Product of the Sum and Difference of Two Numbers
6. Factoring the Difference of Two Squares
7. Finding the Product of Two Binomials with Like Terms
8. Factoring Trinomials in Form of x2 + bx + c
9. Factoring a Trinomial in Form of ax2 + bx + c
10. Squaring a Binomial
11. Factoring a Perfect-Square Trinomial
12. Completely Factoring Polynomials
13. The Variable: Direct and Inverse Variation
14. Understanding Direct Variation: y = kx or y/x = k
15. Understanding Inverse Variation: xy = k
CHAPTER 11 Fractions
1. Understanding Fractions
2. Changing Fractions to Equivalent Fractions
3. Reciprocals and Their Uses
4. Reducing Fractions to Lowest Terms
5. Multiplying Fractions
6. Dividing Fractions
7. Adding or Subtracting Fractions Having the Same Denominator
8. Adding or Subtracting Fractions Having Different Denominators
9. Simplifying Complex Fractions
CHAPTER 12 Roots and Radicals
1. Understanding Roots and Radicals
2. Understanding Rational and Irrational Numbers
3. Finding the Square Root of a Number by Using a Graph
4. Finding the Square Root of a Number by Using a Table or Calculator
5. Simplifying the Square Root of a Product
6. Simplifying the Square Root of a Fraction
7. Adding and Subtracting Square Roots of Numbers
8. Multiplying Square Roots of Numbers
9. Dividing Square Roots of Numbers
10. Rationalizing the Denominator of a Fraction
11. Solving Radical Equations
CHAPTER 13 Quadratic Equations
1. Understanding Quadratic Equations in One Unknown
2. Solving Quadratic Equations by Factoring
3. Solving Incomplete Quadratic Equations
4. Solving a Quadratic Equation by Completing the Square
5. Solving a Quadratic Equation by Quadratic Formula
6. Solving Quadratic Equations Graphically
CHAPTER 14 The Pythagorean Theorem and Similar Triangles
1. Law of Pythagoras
2. Proportions: Equal Ratios
3. Similar Triangles
CHAPTER 15 Introduction to Trigonometry
1. Understanding Trigonometric Ratios
2. Trigonometric Functions of an Acute Angle
3. Trigonometric Functions of Complementary Angles
4. Trigonometric Functions of 30º, 45º, 60º
CHAPTER 16 Introduction to Geometry
1. Solving Problems Graphically
2. Understanding the Slope of a Line
3. Understanding Congruent Triangles
4. Understanding Symmetry
5. Transformations
APPENDIX A Review of Arithmetic
1. The Whole Numbers
2. Fractions
3. Decimals
4. Reviewing Percents and Percentage
APPENDIX B The Use of Calculators
1. Using a Calculator to Perform the Fundamental Operations of Arithmetic
2. Introduction to the Graphing Calculator
INDEX
