A-Plus Notes for Beginning Algebra: ( Pre-Algebra and Algebra 1)

by Yang, Rong

• ISBN13: 9780965435222
• ISBN10: 0965435229
• Edition: 2nd
• Format: Paperback
• Copyright: 2002-12-01
• Publisher: A-Plus Notes Learning Center

Table of Contents

Real Numbers
Real Numbers	p. 9
Adding Integers	p. 13
Subtracting Integers	p. 15
Multiplying Integers	p. 17
Dividing Integers	p. 19
Powers and Exponents	p. 21
Order of Operations	p. 23
Chapter 1 Exercise	p. 25
Decimals
Decimals	p. 29
Adding and Subtracting Decimals	p. 31
Multiplying Decimals	p. 33
Dividing Decimals	p. 35
Scientific Notations	p. 37
Chapter 2 Exercises	p. 39
Number Theory
Factors and Multiples	p. 43
Divisibility Tests	p. 45
Prime Factorization	p. 47
Greatest Common Factor and Least Common Multiple	p. 49
Sequences and Number Patterns	p. 52
Chapter 3 Exercises	p. 55
Fractions
Introduction to Fractions	p. 59
Fractions and Decimals	p. 63
Adding and Subtracting Fractions	p. 65
Multiplying Fractions	p. 69
Dividing Fractions	p. 73
Chapter 4 Exercises	p. 77
Ratios, Proportions, and Percents
Ratios and Rates	p. 81
Proportions	p. 83
Percents	p. 85
Percents and Decimals	p. 87
Percents and Fractions	p. 89
Percent and Applications	p. 91
Chapter 5 Exercises	p. 95
Equations
Variables and Expressions	p. 101
Adding and Subtracting Expressions	p. 103
Multiplying and Dividing Expressions	p. 105
Solving One - Step Equations	p. 107
Solving Two - Step Equations	p. 111
Solving Multistep Equations	p. 115
Translating Words into Symbols	p. 117
Solving Word Problems in One Variable	p. 121
Literal Equations and Formulas	p. 127
Chapter 6 Exercises	p. 129
Functions and Graphs
Number line and Coordinate Plane	p. 137
Linear Equations	p. 141
Equations and Functions	p. 143
Relations and Functions	p. 145
Graphing Linear Equations	p. 149
Slope of a line	p. 153
Finding the Equation of a Line	p. 157
Parallel and Perpendicular Lines	p. 161
Direct Variations	p. 163
Chapter 7 Exercises	p. 165
Polynomials and Factoring
Laws of Exponents	p. 171
Multiplying Polynomials	p. 175
Multiplying Binomials (FOIL & Patterns)	p. 177
Factoring Polynomials	p. 179
Factoring Quadratic Trinomials	p. 181
Factoring Special Quadratic Patterns	p. 183
Solving Equations by Factoring	p. 185
Solving Word Problems by Factoring	p. 187
Chapter 8 Exercises	p. 189
Inequalities and Absolute Values
Inequalities on the number line	p. 195
Solving Inequalities in One Variable	p. 197
Solving Combined Inequalities	p. 199
Solving Word Problems involving Inequalities	p. 203
Operations with Absolute Values	p. 205
Absolute - Value Equations and Inequalities	p. 207
Chapter 9 Exercises	p. 209
Systems of Equations and Inequalities
Solving Systems by Graphing	p. 213
Solving Systems Algebraically	p. 217
Solving Word Problems by using Systems	p. 221
Linear Programming	p. 223
Chapter 10 Exercises	p. 225
Radicals
Square Roots and Radicals	p. 229
Simplifying Radicals	p. 231
Simplifying Radical Expressions	p. 233
Solving Equations involving Radicals	p. 235
The Pythagorean Theorem	p. 237
Distance and Midpoint Formulas	p. 239
Chapter 11 Exercises	p. 241
Proofs of the Pythagorean Theorem	p. 243
Quadratic Equations and Functions
Quadratic Equations Involving Perfect Squares	p. 245
Completing the Square	p. 247
The Quadratic Formula	p. 249
Graphing Quadratic Functions - Parabolas	p. 251
Chapter 12 Exercises	p. 255
Proof of the Quadratic Formula	p. 257
Rational Expressions (Algebraic Fractions)
Simplifying Rational Expressions	p. 259
Adding and Subtracting Rational Expressions	p. 261
Multiplying and Dividing Rational Expressions	p. 263
Solving Rational Equations	p. 265
Solving Word Problems by Rational Equations	p. 267
Inverse Variations	p. 269
Chapter 13 Exercises	p. 271
Statistics and Probability
Mean, Median, Mode, and Range	p. 273
Statistical Graphs	p. 275
Histogram and Normal Distribution	p. 277
Stem-and-Leaf Plots & Box-and-Whisker Plots	p. 279
Sets and Venn Diagrams	p. 281
Probability	p. 283
Chapter 14 Exercises	p. 287
Answers to all Exercises	p. 289
Standardized Sample Questions and Answers	p. 331
Standardized Sample Tests (Completed solution keys are available for math teachers only.)	p. 339
Interactive Learning Form	p. 349
Order Form	p. 351
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