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
2-1Decimals29
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
5-2Proportions83
5-3Percents85
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
14-6Probability283
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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