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ALEKS Pre-Calculus
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Chapter 1: Linear Functions - Equations and Inequalities (Optional Review / Prerequisites)
1.1 One Step Equations
1.2 Solving Two Step Equations
1.3 Solving Multi-Step Equations
1.4 Formulas and Literal Equations
1.5 Linear Inequalities
1.6 Compound Inequalities
1.7 Introduction to Absolute Value
1.8 Solving Absolute Value Equations
1.9 Absolute Value Inequalities
1.10 Graphing Absolute Value Equations
1.11 Graphing Lines with One Variable
1.12 Graphing Lines with Two Variables
1.13 The Slope of a Line
1.14 Slope Intercept Method
1.15 XY Intercept Method
1.16 Writing the Equations of Lines -Using Slope-Intercept Form
1.17 Writing the Equations of Lines -Using Point-Slope intercept
1.18 Writing the Equations of Lines -Given the Slope and a Point
1.19 Writing the Equations of Lines -Given Two Points
1.20 Standard Form of Linear Equations
1.21 Best Fitting Lines and Scatter Plots
1.22 Linear Models/Word Problems
1.23 Graphing Linear Inequalities in Two Variables
Extra Practice - 6 Worksheet Files (Scroll Down To See All)
Chapter Review Notes - 6 Note Files (Scroll Down To See All)
Chapter Quiz 1-1
Chapter Quiz 1-2
Chapter Quiz 1-3
Chapter Quiz 1-4
Chapter Quiz 1-5
Quiz Key 1-1
Quiz Key 1-2
Quiz Key 1-3
Quiz Key 1-4
Quiz Key 1-5
Chapter 2: Relations, Functions and Graphs
2.1 Introduction to Functions and Relations
2.2 Function Operations
2.3 Inverse Functions
2.4 Graphing Functions
2.5 Linear and Nonlinear Functions
2.6 Special Functions
2.7 Composite Functions
2.8 Interval and Set Builder Notation
2.9 Function Symmetry
2.10 Transformations of Functions
2.11 Function and Relation Analysis (Finding Domain/Range)
Extra Practice
Chapter Review Notes- 2 Note Files (Scroll Down To See All)
Chapter Quiz 2-1
Chapter 2 Quiz 2-2
Quiz Key 2-1
Quiz Key 2-2
Chapter 3: Polynomial and Rational Functions
3.1 Introduction to Quadratic Equations
3.2 Solving Quadratic Equations by Square Roots
3.3 Graphing Quadratic Equations
3.4 The Quadratic Formula
3.5 Solving Quadratic Equations by Factoring
3.6 The Discriminant – Types of Roots
3.7 Completing the Square
3.8 Quadratic Equation Word Problems
3.9 Graphing Quadratic Inequalities
3.10 Complex and Imaginary Numbers
3.11 Graphing Polynomials
3.12 Solving Polynomial Equations by Factoring
3.13 Polynomial Division (Long and Synthetic Division)
3.14 Remainder and Factor Theorem
3.15 Rational Root Theorem (Rational-Zero Test)
3.16 Solving n-degree Polynomials (Fundamental Theorem of Algebra)
3.17 Descartes’ Rule of Signs and Bounds
3.18 Graphing Rational Functions (Vertical and Horizontal Asymptotes)
3.19 Rational Inequalities
Extra Practice - 2 Worksheet Files (Scroll Down To See All)
Chapter Review Notes - 2 Note Files (Scroll Down To See All)
Chapter Quiz 3-1
Chapter Quiz 3-2
Quiz Key 3-1
Quiz Key 3-2
Chapter 4: Logarithmic and Exponential Functions
4.1 Exponential Growth and Decay Functions
4.2 Introduction to Logarithms
4.3 Properties of Logarithms
4.4 The Natural Base e
4.5 Natural Logarithms
4.6 Solving Logarithmic Equations
4.7 Solving Exponential Equations
Extra Practice
Chapter Review Notes
Chapter 4 Quiz
Quiz Key 4
Chapter 5: Trigonometric Functions
5.1 Trigonometric Ratios
5.2 Angles of Rotation and Radian Measure
5.3 Evaluating Trigonometric Functions
5.4 Inverse Trigonometric Functions
5.5 Graphs of Sine and Cosine Functions
5.6 Graphs of Other Trigonometric Functions
Extra Practice
Chapter Review Notes
Chapter 5 Quiz
Quiz Key 5
Ch. 6: Trigonometric Identities and Equations
6.1 Trigonometric Identities
6.2 Solving Trigonometric Equations
6.3 Sum and Difference Identities
6.4 Double-Angle and Half-Angle Identities
6.5 Product and Sum Identities
Extra Practice
Chapter Review Notes
Chapter 6 Quiz
Quiz Key 6
Ch 7: Applications of Trigonometry
7.1 Laws of Sine and Cosine
7.2 Polar Equations
7.3 Trigonometric Form of Complex Numbers
7.4 Powers and Roots of Complex Numbers (De Moivre's Theorem)
7.5 Vectors
7.6 Parametric Equations
Extra Practice
Chapter Review Notes
Chapter 7 Quiz
Quiz Key 7
Chapter 8: Conic Sections (Analytic Geometry)
8.1 Circles (Conic Sections)
8.2 Parabolas (Conic Sections)
8.3 Ellipses (Conic Sections)
8.4 Hyperbolas (Conic Sections)
8.5 Translations of Conic Sections
Extra Practice
Chapter Review Notes
Chapter 8 Quiz
Quiz Key 8
Chapter 9: Systems of Equations and Inequalities
9.1 Solving Systems by Graphing
9.2 Solving Systems Substitution Method
9.3 Solving Systems by Elimination/Linear Combination
9.4 Solving Linear System Word Problems
9.5 Special Linear Systems
9.6 Solving Systems of Linear Inequalities
9.7 Linear Programming
9.8 Partial Fractions - Part 1
9.9 Partial Fractions - Part 2
9.10 Three Variable and Nonlinear Systems
Extra Practice
Chapter Review Notes - 2 Note Files (Scroll Down To See All)
Chapter 9 Quiz-1
Chapter Quiz 9-2
Quiz Key 9-1
Quiz Key 9-2
Chapter 10: Matrices and Determinants
10.1 Introduction to Matrices
10.2 Matrix Operations
10.3 Matrix Multiplication
10.4 Determinants
10.5 Identity and Inverse Matrices
10.6 Solving Systems using Inverse Matrices
10.7 Solving Systems using Cramer’s Rule
Extra Practice
Chapter Review Notes
Chapter 10 Quiz
Quiz Key 10
Chapter 11: Sequence, Series and Probability
11.1 Introduction to Sequence and Series
11.2 Arithmetic Sequence and Series
11.3 Geometric Sequence and Series
11.4 Infinite Geometric Series
11.5 The Binomial Theorem
11.6 Introduction To Probability
11.7 Counting Theory
11.8 Probability of Independent, Dependent and Mutually Exclusive Events
11.9 Permutations and Combinations
Extra Practice- 2 Worksheet Files (Scroll Down To See All)
Chapter Review Notes - 2 Note Files (Scroll Down To See All)
Chapter 11 Quiz-1
Chapter 11 Quiz-2
Quiz Key 11-1
Quiz Key 11-2
Quiz Key 9-1
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