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

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Product Details

  • ISBN-13: 9780965435222
  • Publisher: A-Plus Notes Learning Center
  • Publication date: 9/28/2010
  • Edition number: 2
  • Pages: 351
  • Sales rank: 150,304
  • Product dimensions: 8.40 (w) x 10.93 (h) x 0.75 (d)

Table of Contents

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

    Posted January 22, 2009

    I Also Recommend:

    this is the book to get

    in my high school they make algebra 1 as a 2 year class. i bought this book because i haven't takeing notes because it just an easy class and thought it would help me on the midterm and regents and it did. i think that if you need notes or questions on algebra this is the book to get

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  • Anonymous

    Posted March 26, 2007

    Excellent Algebra Resource!

    I highly recommend this Algebra resource book to anyone who wants a hands-on practical learning aid. I found it extremely helpful in understanding the basic concepts as well as more challenging topics. The numerous examples provided great practice for me to fully understand each chapter as I went along. This is a great well-written resource that I recommend to anyone who is trying to learn Algebra!

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  • Anonymous

    Posted July 16, 2004

    ENJOYS LEARNING ALGERBA.

    1. EASY UNDERSTANDING BUILDS SELF- CONFIDENCE. 2. CLEAR CUT INFORMATION CREATES LEARNING INTEREST. 3. TIME-SAVING: SAVE 80% TIME AT LEAST. 4. AMPLE EXCELLENT EXCERCISES: PRRTICE MAKES PERFECT. THESE ARE THE KEY FACTORS FOR BUILDING SOLID ALGERBA FOUNFATION FOR FUTURE ADVANCED MATH COURSES. WITH THESE CHARACTERITICS, THIS BOOK SHOULD BE USED FOR EVERY STUDENT. MY SON REALLY ENJOYS LEARNING ALGERBA.

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  • Anonymous

    Posted October 10, 2003

    A very concise book

    I am a high school student. I am currently taking Algebra courses in school. I found this book very easy to read. I follow the steps of the examples in the book to do my homework.It helps me a lot to learn Algebra. The instruction in the book is very simple and easy to understand. Thanks to the author wrote and organized such a good and concise math book.

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  • Anonymous

    Posted February 17, 2003

    Excelleng math book and author

    The layout of this book is excellent. The author must have pu a lot of effort on this book. There is no space wasted in the whole book. It is better than any 800-page math book. There are numerous examples which are easy to read. I followed the right-step examples to do the exercises and checked the answers listed in the book. I faxed my questions to the author for help. The author was very kind to answer my questions for free. As a math student, I started to love algebra since I read this book. I would tell anyone who needs help in algebra to always have this book on hand.

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