When it comes to pinpointing the stuff you really need to know, nobody does it better than CliffsNotes. This fast, effective tutorial helps you master core algebraic concepts -- from linear equations, relations and functions, and rational expressions to radicals, quadratic systems, and factoring polynomials -- and get the best possible grade.
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Author(s): Edward Kohn, David Alan Herzog
Series: Cliffs Quick Review
Publisher: Cliffs Notes
Year: 1997
Language: English
Pages: 273
About the Authors......Page 3
Table of Contents......Page 4
INTRODUCTION......Page 8
How to Use This Book......Page 9
Visit Our Web Site......Page 10
Linear Equations......Page 12
Formulas......Page 14
Absolute Value Equations......Page 17
Linear Inequalities......Page 19
Compound Inequalities......Page 21
Absolute Value Inequalities......Page 24
Rectangular Coordinate System......Page 29
Distance Formula......Page 31
Midpoint Formula......Page 32
Slope of a Line......Page 33
Slope of Parallel and Perpendicular Lines......Page 35
Equations of Lines......Page 36
Graphs of Linear Inequalities......Page 42
Linear Equations: Solutions Using Graphing......Page 48
Linear Equations: Solutions Using Substitution......Page 50
Linear Equations: Solutions Using Eliminations......Page 51
Linear Equations: Solutions Using Matrices......Page 54
Linear Equations: Solutions Using Determinants......Page 55
Linear Inequalities: Solutions Using Graphing......Page 58
Linear Equations: Solutions Using Elimination......Page 64
Linear Equations: Solutions Using Matrices......Page 68
Linear Equations: Solutions Using Determinants......Page 71
Monomial, binomial, and trinomial......Page 77
Like terms or similar terms......Page 78
Ascending and descending order......Page 79
Multiplying Polynomials......Page 80
Special Products of Binomials......Page 82
Dividing Polynomials......Page 84
Synthetic Division......Page 88
Greatest Common Factor......Page 91
Difference of Squares......Page 92
Sum or Difference of Cubes......Page 93
Trinomials of the Form x[sup(2)] + bx + c......Page 95
Trinomials of the Form ax[sup(2)] + bx +c......Page 96
Factoring by Regrouping......Page 98
Summary of Factoring Techniques......Page 99
Solving Equations by Factoring......Page 100
Examples of Rational Expressions......Page 104
Simplifying Rational Expressions......Page 105
Multiplying Rational Expressions......Page 106
Dividing Rational Expressions......Page 107
Adding and Subtracting Rational Expressions......Page 108
Complex Fractions......Page 112
Solving Rational Equations......Page 114
Proportion......Page 116
Direct variation......Page 117
Inverse variation......Page 118
Joint variation......Page 119
Graphing Rational Functions......Page 120
Relation......Page 125
Domain and range......Page 126
Function......Page 128
Function Notation......Page 130
Compositions of Functions......Page 131
Algebra of Functions......Page 132
Inverse Functions......Page 133
Polynomial Function......Page 139
Remainder Theorem......Page 140
Factor Theorem......Page 141
Rational Zero Theorem......Page 142
Graphing Polynomial Functions......Page 144
Radicals......Page 148
Adding and Subtracting Radical Expressions......Page 151
Multiplying Radical Expressions......Page 152
Dividing Radical Expressions......Page 153
Rationalizing the denominator......Page 154
Rational Exponents......Page 155
Complex Numbers......Page 156
Quadratic Equations......Page 160
Solving Quadratics by the Square Root Property......Page 161
Solving Quadratics by Completing the Square......Page 162
Solving Quadratics by the Quadratic Formula......Page 164
Solving Equations in Quadratic Form......Page 166
Solving Radical Equations......Page 167
Solving Quadratic Inequalities......Page 172
The Four Conic Sections......Page 178
Circle......Page 179
Parabola......Page 181
Ellipse......Page 186
Hyperbola......Page 192
Systems of Equations Solved Algebraically......Page 199
Systems of Equations Solved Graphically......Page 201
Systems of Inequalities Solved Graphically......Page 203
Exponential Functions......Page 207
Logarithmic Functions......Page 211
Properties of Logarithms......Page 214
Exponential and Logarithmic Equations......Page 216
Definition and Examples of Sequences......Page 222
Arithmetic Sequence......Page 224
Arithmetic Series......Page 225
Geometric Sequence......Page 226
Geometric Series......Page 228
Summation Notation......Page 230
Factorials......Page 233
Binomial Coefficients and the Binomial Theorem......Page 234
Permutations......Page 236
Combinations......Page 238
General Strategy......Page 240
Simple Interest......Page 241
Compound Interest......Page 242
Motion......Page 243
Work......Page 246
Arithmetic/Geometric Series......Page 248
CQR REVIEW......Page 251
Books......Page 257
Internet......Page 258
C......Page 260
E......Page 261
I......Page 262
M......Page 263
Q......Page 264
S......Page 265
Z......Page 266
C......Page 267
F......Page 268
L......Page 269
P......Page 270
R......Page 271
V......Page 272
Z......Page 273
