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

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

by Rong Yang


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Product Details

ISBN-13: 9780965435222
Publisher: A-Plus Notes Learning Center
Publication date: 09/28/2010
Pages: 351
Sales rank: 361,264
Product dimensions: 8.40(w) x 10.93(h) x 0.75(d)
Age Range: 15 Years

Table of Contents

Chapter 1Real Numbers
1-1Real Numbers9
1-2Adding Integers13
1-3Subtracting Integers15
1-4Multiplying Integers17
1-5Dividing Integers19
1-6Powers and Exponents21
1-7Order of Operations23
Chapter 1 Exercise25
Chapter 2Decimals
2-2Adding and Subtracting Decimals31
2-3Multiplying Decimals33
2-4Dividing Decimals35
2-5Scientific Notations37
Chapter 2 Exercises39
Chapter 3Number Theory
3-1Factors and Multiples43
3-2Divisibility Tests45
3-3Prime Factorization47
3-4Greatest Common Factor and Least Common Multiple49
3-5Sequences and Number Patterns52
Chapter 3 Exercises55
Chapter 4Fractions
4-1Introduction to Fractions59
4-2Fractions and Decimals63
4-3Adding and Subtracting Fractions65
4-4Multiplying Fractions69
4-5Dividing Fractions73
Chapter 4 Exercises77
Chapter 5Ratios, Proportions, and Percents
5-1Ratios and Rates81
5-4Percents and Decimals87
5-5Percents and Fractions89
5-6Percent and Applications91
Chapter 5 Exercises95
Chapter 6Equations
6-1Variables and Expressions101
6-2Adding and Subtracting Expressions103
6-3Multiplying and Dividing Expressions105
6-4Solving One - Step Equations107
6-5Solving Two - Step Equations111
6-6Solving Multistep Equations115
6-7Translating Words into Symbols117
6-8Solving Word Problems in One Variable121
6-9Literal Equations and Formulas127
Chapter 6 Exercises129
Chapter 7Functions and Graphs
7-1Number line and Coordinate Plane137
7-2Linear Equations141
7-3Equations and Functions143
7-4Relations and Functions145
7-5Graphing Linear Equations149
7-6Slope of a line153
7-7Finding the Equation of a Line157
7-8Parallel and Perpendicular Lines161
7-9Direct Variations163
Chapter 7 Exercises165
Chapter 8Polynomials and Factoring
8-1Laws of Exponents171
8-2Multiplying Polynomials175
8-3Multiplying Binomials (FOIL & Patterns)177
8-4Factoring Polynomials179
8-5Factoring Quadratic Trinomials181
8-6Factoring Special Quadratic Patterns183
8-7Solving Equations by Factoring185
8-8Solving Word Problems by Factoring187
Chapter 8 Exercises189
Chapter 9Inequalities and Absolute Values
9-1Inequalities on the number line195
9-2Solving Inequalities in One Variable197
9-3Solving Combined Inequalities199
9-4Solving Word Problems involving Inequalities203
9-5Operations with Absolute Values205
9-6Absolute - Value Equations and Inequalities207
Chapter 9 Exercises209
Chapter 10Systems of Equations and Inequalities
10-1Solving Systems by Graphing213
10-2Solving Systems Algebraically217
10-3Solving Word Problems by using Systems221
Linear Programming223
Chapter 10 Exercises225
Chapter 11Radicals
11-1Square Roots and Radicals229
11-2Simplifying Radicals231
11-3Simplifying Radical Expressions233
11-4Solving Equations involving Radicals235
11-5The Pythagorean Theorem237
11-6Distance and Midpoint Formulas239
Chapter 11 Exercises241
Proofs of the Pythagorean Theorem243
Chapter 12Quadratic Equations and Functions
12-1Quadratic Equations Involving Perfect Squares245
12-2Completing the Square247
12-3The Quadratic Formula249
12-4Graphing Quadratic Functions - Parabolas251
Chapter 12 Exercises255
Proof of the Quadratic Formula257
Chapter 13Rational Expressions (Algebraic Fractions)
13-1Simplifying Rational Expressions259
13-2Adding and Subtracting Rational Expressions261
13-3Multiplying and Dividing Rational Expressions263
13-4Solving Rational Equations265
13-5Solving Word Problems by Rational Equations267
13-6Inverse Variations269
Chapter 13 Exercises271
Chapter 14Statistics and Probability
14-1Mean, Median, Mode, and Range273
14-2Statistical Graphs275
14-3Histogram and Normal Distribution277
14-4Stem-and-Leaf Plots & Box-and-Whisker Plots279
14-5Sets and Venn Diagrams281
Chapter 14 Exercises287
Answers to all Exercises289
Standardized Sample Questions and Answers331
Standardized Sample Tests (Completed solution keys are available for math teachers only.)339
Interactive Learning Form349
Order Form351

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