9_ALGEBRA
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9_ALGEBRA
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Section 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 15
Linear Equations in One Variable
Theory
Page 19
Equality and Its Properties
Theory
Page 19
Solving Linear Equations
Theory
Page 23
Solution Strategies: Combining Like Terms
Theory
Page 25
Solution Strategies: Collecting Variables on the Same Side of an Equation
Theory
Page 27
Exercises 1.1
Problem
Page 33
Section 2: Inequalities
Theory
Page 34
Solving Inequalities in One Variable
Theory
Page 34
Inequalities in One Variable
Theory
Page 34
Graphing Inequalities on a Number Line
Theory
Page 35
Properties of Inequality
Theory
Page 37
Solving Inequalities
Theory
Page 41
Written Problems
Problem
Page 45
Compound Inequalities
Theory
Page 47
Exercises 1.2
Problem
Page 50
Section 3: Linear Equations in Two Variables
Theory
Page 51
The Coordinate Plane
Theory
Page 51
Coordinates on a Graph
Theory
Page 51
The Rectangular Coordinate System
Theory
Page 52
Solving Linear Equations in Two Variables
Theory
Page 56
Constructing a Table of Values
Theory
Page 57
Graphing Linear Equations
Theory
Page 58
The Intercept Method
Theory
Page 61
Solving Systems of Linear Equations
Theory
Page 64
The Graphing Method
Theory
Page 64
The Elimination Method
Theory
Page 68
The Substitution Method
Theory
Page 72
Exercises 1.3
Problem
Page 79
Section 4: Quadratic Equations
Theory
Page 80
Quadratic Equations
Theory
Page 80
Solving Quadratic Equations
Theory
Page 81
Factoring Quadratic Equations
Theory
Page 81
The Square Root Method
Theory
Page 82
Completing the Square
Theory
Page 83
The Quadratic Formula
Theory
Page 85
Section 5: Written Problems
Problem
Page 88
Number and Fraction Problems
Problem
Page 88
Age Problems
Problem
Page 93
Work Problems
Problem
Page 96
Percentage and Interest Problems
Problem
Page 100
Exercises 1.4
Problem
Page 108
Chapter Review Tests
Test
Page 111
Section 1: Fundamentals of Trigonometry
Theory
Page 120
Angles and Direction
Theory
Page 120
The Concept of Angle
Theory
Page 120
Directed Angles
Theory
Page 120
Directed Arcs
Theory
Page 121
Units of Angle Measure
Theory
Page 123
Grad
Theory
Page 123
Degree
Theory
Page 123
Radian
Theory
Page 126
Converting Units of Angle Measure
Theory
Page 127
Primary Directed Angles
Theory
Page 129
Coterminal Angles
Theory
Page 129
Primary Directed Angles and Arcs
Theory
Page 131
Exercises 2.1
Problem
Page 135
Section 2: Right Triangle Trigonometry
Theory
Page 137
Trigonometric Ratios
Theory
Page 137
Definition
Theory
Page 137
Special Triangles and Ratios
Theory
Page 140
Trigonometric Identities
Theory
Page 142
Basic Identities
Theory
Page 142
Simplifying Trigonometric Expressions
Theory
Page 146
Verifying Trigonometric Identities
Theory
Page 149
Cofunctions
Theory
Page 152
Exercises 2.2
Problem
Page 155
Section 3: Trigonometry Functions of Real Numbers
Theory
Page 157
Trigonometric Functions
Theory
Page 157
The Sine Function
Theory
Page 157
The Cosine Function
Theory
Page 159
The Tangent Function
Theory
Page 161
The Cotangent Function
Theory
Page 163
The Secant and Cosecant Functions
Theory
Page 165
Calculating Trigonometric Values
Theory
Page 168
Trigonometric Values of Quadrantal Angles
Theory
Page 168
Using a Reference Angle
Theory
Page 170
Calculating Ratios from a Given Ratio
Theory
Page 174
Trigonometric Values of Other Angles
Theory
Page 176
Exercises 2.3
Problem
Page 181
Section 4: Trigonometric Theorems and Formulas
Theory
Page 185
Trigonometric Formulas
Theory
Page 185
Sum and Difference Formulas
Theory
Page 185
Double-Angle and Half-Angle Formulas
Theory
Page 190
Reduction Formulas
Theory
Page 198
Exercises 2.4
Problem
Page 205
Section 1: Real Numbers Sequences
Theory
Page 208
Sequences
Theory
Page 208
Definition
Theory
Page 208
Criteria for the Existence of a Sequence
Theory
Page 210
Types of Sequence
Theory
Page 211
Finite and Infinite Sequences
Theory
Page 211
Monotone Sequences
Theory
Page 212
Piecewise Sequences
Theory
Page 214
Recursively Defined Sequences
Theory
Page 215
Exercises 3.1
Problem
Page 221
Section 2: Arithmetic Sequences
Theory
Page 224
Arithmetic Sequences
Theory
Page 224
Definition
Theory
Page 224
General Term
Theory
Page 225
Advanced General Term Formula
Theory
Page 227
Middle Term Formula (Arithmetic Mean)
Theory
Page 230
Sum of the Terms of an Arithmetic Sequence
Theory
Page 232
Sum of First n Terms
Theory
Page 232
Applied Problems
Problem
Page 236
Exercises 3.2
Problem
Page 241
Section 3: Geometric Sequences
Theory
Page 247
Geometric Sequences
Theory
Page 247
Definition
Theory
Page 247
General Term
Theory
Page 248
Advanced General Term Formula
Theory
Page 250
Common Ratio Formula
Theory
Page 251
Middle Term Formula (Geometric Mean)
Theory
Page 252
Sum of the Terms of a Geometric Sequence
Theory
Page 256
Sum of the First n Terms
Theory
Page 256
Applied Problems
Problem
Page 260
Infinite Sum of a Geometric Sequence (Optional)
Theory
Page 262
Infinite Sum Formula
Theory
Page 262
Repeating Decimals
Theory
Page 263
Equations with Infinitely Many Terms
Theory
Page 264
Applied Problems
Problem
Page 266
Exercises 3.3
Problem
Page 268
Chapter Review Tests
Test
Page 273
Section 1: Clock Arithmetic and Modula
Theory
Page 280
Clock Arithmetic and Modula
Theory
Page 280
Clock Arithmetic
Theory
Page 280
The Concept of Modulus
Theory
Page 281
Clock Addition
Theory
Page 282
Operations in Modular Arithmetic
Theory
Page 284
Modular Addition
Theory
Page 284
Modular Multiplication
Theory
Page 286
Solving Modular Equations
Theory
Page 288
Other Operations in Modular Arithmetic
Theory
Page 290
Applications of Modular Arithmetic
Theory
Page 292
Section 2: Binary Operations
Theory
Page 294
Basic Concept
Theory
Page 294
Binary Operations
Theory
Page 294
Using an Operation Table
Theory
Page 295
Properties of Binary Operations
Theory
Page 297
Exercises 4.1
Problem
Page 301
Exercises 5.1
Problem
Page 312
Section 2: Statistics
Theory
Page 313
Basic Concepts
Theory
Page 313
What Is Statistics?
Theory
Page 313
Collecting Data
Theory
Page 314
Summarizing Data
Theory
Page 315
Presenting and Interpreting Data
Theory
Page 316
Bar Graph
Theory
Page 317
Line Graph
Theory
Page 317
Circle Graph (Pie Chart)
Theory
Page 321
Measures of Central Tendency
Theory
Page 324
Mean
Theory
Page 324
Median
Theory
Page 325
Mode
Theory
Page 326
Range
Theory
Page 327
Exercises 5.2
Problem
Page 329
Chapter Review Tests
Test
Page 330
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