-PRE-ALGEBRA_2
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-PRE-ALGEBRA_2
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170
Chapter 1: Equations and Inequalities
Theory
Page 9
1.1 Algebraic Expressions
Theory
Page 10
Algebraic Expressions
Theory
Page 10
Translating Phrases into Algebraic Expressions
Theory
Page 10
Open Sentences and Equations
Theory
Page 14
Linear Equations in One Variable
Theory
Page 17
Equality and Its Properties
Theory
Page 18
Solving Linear Equations
Theory
Page 21
Solution Strategies: Combining Like Terms
Theory
Page 23
Solution Strategies: Collecting Variables on the Same Side of an Equation
Theory
Page 26
Exercises 1.1
Problem
Page 31
1.2 Inequalities
Theory
Page 32
Solving Inequalities in One Variable
Theory
Page 32
Inequalities in One Variable
Theory
Page 32
Graphing Inequalities on a Number Line
Theory
Page 33
Properties of Inequality
Theory
Page 34
Solving Inequalities
Theory
Page 38
Written Problems
Problem
Page 42
Compound Inequalities
Theory
Page 43
Exercises 1.2
Problem
Page 47
1.3 Linear Equations in Two Variables
Theory
Page 48
The Coordinate Plane
Theory
Page 48
Coordinates on a Graph
Theory
Page 48
The Rectangular Coordinate System
Theory
Page 48
Solving Linear Equations in Two Variables
Theory
Page 52
Constructing a Table of Values
Theory
Page 53
Graphing Linear Equations
Theory
Page 54
The Intercept Method
Theory
Page 57
Solving Systems of Linear Equations
Theory
Page 60
The Graphing Method
Theory
Page 60
The Elimination Method
Theory
Page 64
The Substitution Method
Theory
Page 68
Exercises 1.3
Problem
Page 74
1.4 Linear Inequalities in Two Variables
Theory
Page 75
Graphing Linear Inequalities
Theory
Page 75
Solving Systems of Linear Inequalities
Theory
Page 79
1.5 Quadratic Equations
Theory
Page 82
Quadratic Equations
Theory
Page 82
Solving Quadratic Equations
Theory
Page 83
Factoring Quadratic Equations
Theory
Page 83
The Square Root Method
Theory
Page 84
Completing the Square
Theory
Page 85
The Quadratic Formula
Theory
Page 86
1.6 Written Problems
Problem
Page 90
Number and Fraction Problems
Problem
Page 90
Age Problems
Problem
Page 95
Work Problems
Problem
Page 97
Percentage and Interest Problems
Problem
Page 102
Percentage Problems
Problem
Page 102
Interest Problems
Problem
Page 104
Mixture Problems
Problem
Page 105
Motion Problems
Problem
Page 107
Chapter Map
Other
Page 109
Chapter 1 Review Exercises
Problem
Page 111
Chapter 1 Review Test 1
Test
Page 113
Chapter 1 Review Test 2
Test
Page 115
Chapter 1 Review Test 3
Test
Page 117
Chapter 1 Review Test 4
Test
Page 119
Chapter 2: Ratio, Proportion and Variation
Theory
Page 121
2.1 Ratio and Proportion
Theory
Page 122
Ratio
Theory
Page 122
Rate
Theory
Page 126
Proportion
Theory
Page 127
Basic Concepts
Theory
Page 127
Properties of Proportion
Theory
Page 129
Geometric Mean
Theory
Page 131
Exercises 2.1
Problem
Page 135
2.2 Variation
Theory
Page 136
Types of Variation
Theory
Page 136
Direct Variation
Theory
Page 136
Inverse Variation
Theory
Page 140
Joint Variation
Theory
Page 142
Variation Problems
Problem
Page 144
Exercises 2.2
Problem
Page 147
Chapter Map
Other
Page 148
Chapter 2 Review Exercises
Problem
Page 151
Chapter 2 Review Test
Test
Page 153
Chapter 3: Polynomials
Theory
Page 155
3.1 Polynomials
Theory
Page 156
Algebraic Expressions and Polynomials
Theory
Page 156
Algebraic Expressions
Theory
Page 156
Polynomials
Theory
Page 156
Monomials
Theory
Page 157
Types of Polynomial
Theory
Page 157
Simplifying Polynomials
Theory
Page 158
Basic Operations on Polynomials
Theory
Page 160
Adding and Subtracting Polynomials
Theory
Page 160
Multiplying Polynomials
Theory
Page 162
Dividing a Polynomial by a Monomial
Theory
Page 163
Exercises 3.1
Problem
Page 165
3.2 Binomial Expansion and Basic Identities
Theory
Page 166
Binomial Expansion
Theory
Page 166
Binomial Expansion Using Pascal's Triangle
Theory
Page 166
Basic Identities
Theory
Page 168
Square of a Binomial
Theory
Page 168
Square of a Trinomial
Theory
Page 170
Cube of a Binomial
Theory
Page 172
Product of the Sum and the Difference of Two Terms
Theory
Page 174
Sum of Two Cubes
Theory
Page 175
Difference of Two Cubes
Theory
Page 176
Exercises 3.2
Problem
Page 177
3.3 Factorization
Theory
Page 178
Factorization Methods
Theory
Page 179
Taking Out a Common Factor
Theory
Page 179
Factoring by Grouping
Theory
Page 179
Factorization Identities
Theory
Page 181
Factoring Trinomials
Theory
Page 182
Factoring Perfect Square Trinomials
Theory
Page 182
Completing the Square
Theory
Page 183
Other Factoring Methods
Theory
Page 184
Factoring Trinomials of the Form x² + bx + c
Theory
Page 184
Factoring Trinomials of the Form ax² + bx + c
Theory
Page 185
Exercises 3.3
Problem
Page 187
3.4 Rational Expressions
Theory
Page 188
Simplifying Rational Expressions
Theory
Page 188
Multiplying and Dividing Rational Expressions
Theory
Page 188
Adding and Subtracting Rational Expressions
Theory
Page 191
Complex Fractions
Theory
Page 193
Exercises 3.4
Problem
Page 195
Chapter Map
Other
Page 197
Chapter 3 Review Exercises
Problem
Page 201
Chapter 3 Review Test 1
Test
Page 203
Chapter 3 Review Test 2
Test
Page 205
Chapter 4: Modular Arithmetic
Theory
Page 207
4.1 Clock Arithmetic and Modula
Theory
Page 208
Clock Arithmetic and Modula
Theory
Page 208
Clock Arithmetic
Theory
Page 208
The Concept of Modulus
Theory
Page 209
Clock Addition
Theory
Page 210
Operations in Modular Arithmetic
Theory
Page 212
Modular Addition
Theory
Page 212
Modular Multiplication
Theory
Page 214
Solving Modular Equations
Theory
Page 215
Other Operations in Modular Arithmetic
Theory
Page 217
Applications of Modular Arithmetic
Theory
Page 219
4.2 Binary Operations
Theory
Page 222
Basic Concept
Theory
Page 222
Binary Operations
Theory
Page 222
Using an Operation Table
Theory
Page 223
Properties of Binary Operations
Theory
Page 224
Chapter Map
Other
Page 229
Chapter 4 Review Exercises
Problem
Page 231
Chapter 4 Review Test
Test
Page 233
Chapter 5: Statistics
Theory
Page 235
5.1 Statistics
Theory
Page 236
Basic Concepts
Theory
Page 236
What Is Statistics?
Theory
Page 236
Collecting Data
Theory
Page 237
Questionnaires
Theory
Page 237
Sampling
Theory
Page 237
Surveys
Theory
Page 238
Summarizing Data
Theory
Page 238
Presenting and Interpreting Data
Theory
Page 239
Bar Graph
Theory
Page 239
Line Graph
Theory
Page 240
Circle Graph (Pie Chart)
Theory
Page 243
Measures of Central Tendency
Theory
Page 245
Mean
Theory
Page 246
Median
Theory
Page 246
Mode
Theory
Page 247
Range
Theory
Page 248
Chapter Map
Other
Page 249
Chapter 5 Review Exercises
Problem
Page 251
Chapter 5 Review Test
Test
Page 252
Answers to Practice Problems
Answer
Page 254
Answers to Exercises
Answer
Page 265
Answers to Review Exercises
Answer
Page 268
Answers to Review Tests
Answer
Page 271
Symbols
Other
Page 272
Glossary
Other
Page 273
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