The Essential Guide to ALGEBRA 1

유하림

저자:유하림
미국NorthwesternUniversity,
B.A.inMathematicsandEconomics
(노스웨스턴대학교수학과/경제학과졸업)
마스터프렙수학영역대표강사
압구정현장강의ReachPrep원장

Preface2
저자소개3
이책의구성과특징4

Topic1MathematicalExpressions
1.1MathematicalExpressions.................................................10
1.2ArithmeticwithExpressions..............................................11
1.3ManipulationofExpressions.............................................13

Topic2MoreVariables
2.1One-VariableEquation.......................................................22
2.2MultivariableExpressions.................................................24
2.3MultivariableArithmetic...................................................25
2.4ExpansionandSimplification............................................27
2.5MultivariableFractions......................................................29
2.6MultivariableEquations.....................................................30

Topic3Two-VariableEquations
3.1Two-VariableEquations.....................................................38
3.2Substitution........................................................................39
3.3Elimination.......................................................................41
3.4WordProblems.................................................................43
Topic4Proportion
4.1DirectProportion...............................................................50
4.2InverseProportion.............................................................51
4.3JointProportion.................................................................52
4.4RateinAlgebra1...............................................................53

Topic5LinearGraphs
5.1TheRealNumberLineandtheCartesianPlane................62
5.2GraphingLinearEquations................................................65
5.3SlopeProblems..................................................................68
5.4FindingLineEquations......................................................70
5.5SlopeandIntercepts...........................................................73
5.6ParallelandPerpendicularlines.........................................75

Topic6BasicInequalities
6.1Introduction......................................................................84
6.2Comparison.......................................................................86
6.3LinearInequalities.............................................................88
6.4GraphingLinearInequalities.............................................91
6.5LinearOptimization...........................................................93

Topic7IntroductiontoQuadratics
7.1QuadraticEquations...........................................................100
7.2Factorizationfora=1.......................................................102
7.3Factorizationfora≠1.......................................................104

Topic8MoreFactorization
8.1SquareofBinomials...........................................................116
8.2DifferenceofSquares........................................................120
8.3Four-TermQuadratics........................................................122

Topic9ComplexNumber
9.1x2=-1................................................................................130
9.2ComplexNumbers.............................................................132

Topic10CompletingtheSquares
10.1ThePerfectSquares...........................................................140
10.2CompletingtheSquares.....................................................143
10.3QuadraticFormula.............................................................145

Topic11GraphingQuadraticsandInequalities
11.1Parabola............................................................................156
11.2Circle................................................................................161
11.3QuadraticInequalities.......................................................165
11.4TrivialInequalities.............................................................169
11.5QuadraticOptimization......................................................170

Topic12Functions
12.1Function............................................................................180
12.2FunctionArithmetic...........................................................185
12.3CompositionofTwoFunctions..........................................188

Topic13GraphsandTransformation
13.1GraphingFunctions............................................................200
13.2Transformation..................................................................206
13.3GraphsofInverseFunctions..............................................211

Topic14PolynomialArithmetic
14.1Polynomials.......................................................................224
14.2PolynomialDivision..........................................................227
14.3RationalEquations.........................