The complete Idiots guide to Algebra
W. Michael Kelley
The complete Idiots guide to Algebra - 2nd Edition - Alpha 2007 - xvii, 315 pages : illustrations ; 23 cm - Complete idiot's guide. .
Part 1: Final Farewell To Numbers -- 1: Getting cozy with numbers -- Classifying number sets -- Familiar classifications -- Intensely mathematical classifications -- Persnickety signs -- Addition and subtraction -- Multiplication and division -- Opposites and absolute values -- Come together with grouping symbols -- Important assumptions -- Associative property -- Commutative property -- Identity properties -- Inverse properties -- 2: Making friends with fractions -- What is a fraction? -- Ways to write fractions -- Simplifying fractions -- Locating the least common denominator -- Operations with fractions -- Adding and subtracting fractions -- Multiplying fractions -- Dividing fractions -- 3: Encountering expressions -- Introducing variables -- Translating words into math -- Behold the power of exponents -- Big things comes in small packages -- Exponential rules -- Living large with scientific notation -- Dastardly distribution -- Get your operations in order -- Evaluating expressions -- Part 2: Equations And Inequalities -- 4: Solving basic equations -- Maintaining a balance -- Adding and subtracting -- Multiplying and dividing -- Equations with multiple steps -- Absolute value equations -- Equations with multiple variables -- 5: Graphing linear equations -- Climb aboard the coordinate plane -- Sketching line graphs -- Graphing with tables -- Graphing with intercepts -- It's a slippery slope -- Calculating slope of a line -- Interpreting slope values -- Kinky absolute value graphs -- 6: Cooking up linear equations -- Point-slope form -- Slope-intercept form -- Graphing with slope-intercept form -- Standard form of a line -- Tricky linear equations -- How to get from point A to point B -- Parallel and perpendicular lines -- 7: Linear inequalities -- Equations vs inequalities -- Solving basic inequalities -- Inequality mood swing -- Graphing solutions -- Compound inequalities -- Solving compound inequalities -- Graphing compound inequalities -- Inequalities with absolute values -- Inequalities involving "less than" -- Inequalities involving "greater than" -- Graphing linear inequalities -- Part 3: Systems Of Equations And Matrix Algebra -- 8: Systems of linear equations and inequalities -- Solving a system by graphing -- Substitution method -- Elimination method -- Systems that are out of whack -- Systems of inequalities -- 9: Basics of the Matrix -- What is the Matrix? -- Matrix operations -- Multiplying by a scalar -- Adding and subtracting Matrices -- Multiplying Matrices -- When can you multiply Matrices? -- Use your fingers to calculate Matrix products -- Determining determinants -- 2 x 2 determinants -- 3 x 3 determinants -- Cracking Cramer's rule -- Part 4: Now You're Playing With (Exponential) Power! -- 10: Introducing polynomials -- Classifying polynomials -- Adding and subtracting polynomials -- Multiplying polynomials -- Products of monomials -- Binomials, trinomials, and beyond -- Dividing polynomials -- Long division -- Synthetic division -- 11: Factoring polynomials -- Greatest common factors -- Factoring by grouping -- Special factoring patterns -- Factoring trinomials using their coefficients -- Factoring with the bomb method -- 12: Wrestling with radicals -- Introducing the radical sign -- Simplifying radical expressions -- Unleashing rational powers -- Radical operations -- Addition and subtraction -- Multiplication -- Division -- Solving radical equations -- When things get complex -- There's something in you i -- Simplifying complex expressions -- 13: Quadratic equations and inequalities -- Solving quadratic by factoring -- Completing the square -- Solving basic exponential equations -- Bugging out with squares -- Quadratic formula -- All signs point to the discriminant -- Solving one-variable quadratic inequalities -- 14: Solving high-powered equations -- There's no escaping your roots! -- Finding factors -- Baby steps to solving cubic equations -- Calculating rational roots -- What about imaginary and irrational roots? -- Part 5: Function Junction -- 15: Introducing the function -- Getting to know your relations -- Operating on functions -- Composition of functions -- Inverse functions -- Defining inverse functions -- Calculating inverse functions -- Bet you can't solve just one: piecewise-defined -- Functions -- 16: Graphing functions -- Second verse, same as the first -- Two important line tests -- Vertical line test -- Horizontal line test -- Determining domain and range -- Important function graphs -- Graphing function transformations -- Making functions flip out -- Stretching functions -- Moving functions around -- Multiple transformations -- Part 6: Please, Be Rational! -- 17: Rational expressions -- Simplifying rational expressions -- Combining rational expressions -- Multiplying and dividing rationally -- Encountering complex fractions -- 18: Rational equations and inequalities -- Solving rational equations -- Proportions and cross multiplying -- Investigating variation -- Direct variation -- Indirect variation -- Solving rational inequalities -- Part 7: Wrapping Things Up -- 19: Whipping word problems -- Interest problems -- Simple interest -- Compound interest -- Area and volume problems -- Speed and distance problems -- Mixture and combination problems -- 20: Final exam -- Chapter 1 -- Chapter 19 -- Solutions -- Appendixes -- A: Solutions to "you've got problems" -- B: Glossary -- Index.
Overview: Just the facts (and figures) to understanding algebra. The Complete Idiot's Guide® to Algebra has been updated to include easier-to-read graphs and additional practice problems. It covers variations of standard problems that will assist students with their algebra courses, along with all the basic concepts, including linear equations and inequalities, polynomials, exponents and logarithms, conic sections, discrete math, word problems and more. Written in an easy-to-comprehend style to make math concepts approachable; Award-winning math teacher and author of The Complete Idiot's Guide® to Calculus and the bestselling advanced placement book in ARCO's
9781592576487
Algebra.
512 KEL-A
The complete Idiots guide to Algebra - 2nd Edition - Alpha 2007 - xvii, 315 pages : illustrations ; 23 cm - Complete idiot's guide. .
Part 1: Final Farewell To Numbers -- 1: Getting cozy with numbers -- Classifying number sets -- Familiar classifications -- Intensely mathematical classifications -- Persnickety signs -- Addition and subtraction -- Multiplication and division -- Opposites and absolute values -- Come together with grouping symbols -- Important assumptions -- Associative property -- Commutative property -- Identity properties -- Inverse properties -- 2: Making friends with fractions -- What is a fraction? -- Ways to write fractions -- Simplifying fractions -- Locating the least common denominator -- Operations with fractions -- Adding and subtracting fractions -- Multiplying fractions -- Dividing fractions -- 3: Encountering expressions -- Introducing variables -- Translating words into math -- Behold the power of exponents -- Big things comes in small packages -- Exponential rules -- Living large with scientific notation -- Dastardly distribution -- Get your operations in order -- Evaluating expressions -- Part 2: Equations And Inequalities -- 4: Solving basic equations -- Maintaining a balance -- Adding and subtracting -- Multiplying and dividing -- Equations with multiple steps -- Absolute value equations -- Equations with multiple variables -- 5: Graphing linear equations -- Climb aboard the coordinate plane -- Sketching line graphs -- Graphing with tables -- Graphing with intercepts -- It's a slippery slope -- Calculating slope of a line -- Interpreting slope values -- Kinky absolute value graphs -- 6: Cooking up linear equations -- Point-slope form -- Slope-intercept form -- Graphing with slope-intercept form -- Standard form of a line -- Tricky linear equations -- How to get from point A to point B -- Parallel and perpendicular lines -- 7: Linear inequalities -- Equations vs inequalities -- Solving basic inequalities -- Inequality mood swing -- Graphing solutions -- Compound inequalities -- Solving compound inequalities -- Graphing compound inequalities -- Inequalities with absolute values -- Inequalities involving "less than" -- Inequalities involving "greater than" -- Graphing linear inequalities -- Part 3: Systems Of Equations And Matrix Algebra -- 8: Systems of linear equations and inequalities -- Solving a system by graphing -- Substitution method -- Elimination method -- Systems that are out of whack -- Systems of inequalities -- 9: Basics of the Matrix -- What is the Matrix? -- Matrix operations -- Multiplying by a scalar -- Adding and subtracting Matrices -- Multiplying Matrices -- When can you multiply Matrices? -- Use your fingers to calculate Matrix products -- Determining determinants -- 2 x 2 determinants -- 3 x 3 determinants -- Cracking Cramer's rule -- Part 4: Now You're Playing With (Exponential) Power! -- 10: Introducing polynomials -- Classifying polynomials -- Adding and subtracting polynomials -- Multiplying polynomials -- Products of monomials -- Binomials, trinomials, and beyond -- Dividing polynomials -- Long division -- Synthetic division -- 11: Factoring polynomials -- Greatest common factors -- Factoring by grouping -- Special factoring patterns -- Factoring trinomials using their coefficients -- Factoring with the bomb method -- 12: Wrestling with radicals -- Introducing the radical sign -- Simplifying radical expressions -- Unleashing rational powers -- Radical operations -- Addition and subtraction -- Multiplication -- Division -- Solving radical equations -- When things get complex -- There's something in you i -- Simplifying complex expressions -- 13: Quadratic equations and inequalities -- Solving quadratic by factoring -- Completing the square -- Solving basic exponential equations -- Bugging out with squares -- Quadratic formula -- All signs point to the discriminant -- Solving one-variable quadratic inequalities -- 14: Solving high-powered equations -- There's no escaping your roots! -- Finding factors -- Baby steps to solving cubic equations -- Calculating rational roots -- What about imaginary and irrational roots? -- Part 5: Function Junction -- 15: Introducing the function -- Getting to know your relations -- Operating on functions -- Composition of functions -- Inverse functions -- Defining inverse functions -- Calculating inverse functions -- Bet you can't solve just one: piecewise-defined -- Functions -- 16: Graphing functions -- Second verse, same as the first -- Two important line tests -- Vertical line test -- Horizontal line test -- Determining domain and range -- Important function graphs -- Graphing function transformations -- Making functions flip out -- Stretching functions -- Moving functions around -- Multiple transformations -- Part 6: Please, Be Rational! -- 17: Rational expressions -- Simplifying rational expressions -- Combining rational expressions -- Multiplying and dividing rationally -- Encountering complex fractions -- 18: Rational equations and inequalities -- Solving rational equations -- Proportions and cross multiplying -- Investigating variation -- Direct variation -- Indirect variation -- Solving rational inequalities -- Part 7: Wrapping Things Up -- 19: Whipping word problems -- Interest problems -- Simple interest -- Compound interest -- Area and volume problems -- Speed and distance problems -- Mixture and combination problems -- 20: Final exam -- Chapter 1 -- Chapter 19 -- Solutions -- Appendixes -- A: Solutions to "you've got problems" -- B: Glossary -- Index.
Overview: Just the facts (and figures) to understanding algebra. The Complete Idiot's Guide® to Algebra has been updated to include easier-to-read graphs and additional practice problems. It covers variations of standard problems that will assist students with their algebra courses, along with all the basic concepts, including linear equations and inequalities, polynomials, exponents and logarithms, conic sections, discrete math, word problems and more. Written in an easy-to-comprehend style to make math concepts approachable; Award-winning math teacher and author of The Complete Idiot's Guide® to Calculus and the bestselling advanced placement book in ARCO's
9781592576487
Algebra.
512 KEL-A