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Unit I - Basic Equations and Inequalities
Unit II - Advanced Equations and Inequalities
Algebraic Expressions (+Variables)
Order of Operations
Polynomials
Term/Coefficient/Constant
Powers and Exponents
Formulas
Rational Numbers
Irrational Numbers and Real Numbers
Solving Basic Equations
Commutative Property of Addition
Commutative Property of Multiplication
Associative Property of Addition
Associative Property of Multiplication
Reflexive Property of Equality
Symmetric Property of Equality
Transitive Property of Equality
Substitution Property of Equality
Absolute Value
Addition and Subtraction Properties of Inequalities
Multiplication and Division Properties of Inequalities
Trichotomy Property
Absolute Value Inequalities
Coordinate (Cartesian) Planes
Quadrants
Domain and Range
Functions
Vertical Line Test
Independent and Dependent Variables
Function Notation
Linear Equations
Standard Form and Expanded Form
Slope
Rate of Change
Slope-Intercept Form
Point-Slope Form
Scatter Plots
Best-Fit Line
Graphing Inequalities
Systems of Equations
Graphing Systems of Inequalities
Ordered Triples
Matrices
Scalar Multiplication of Matrices
Addition and Subtraction of Matrices
Multiplying Matrices
Properties of Matrix Multiplication
Matrix Translations
Matrix Dilations
Matrix Reflections
Matrix Rotations
Second-Order Determinants
Third-Order Determinants
Cramer’s Rule
Identity Matrix
Inverse of a 2 x 2 Matrix
Quadratic Functions
Axis of Symmetry of a Parabola
Quadratic Equations
FOIL Method for Multiplying Binomials
Zero Product Property
Perfect Squares and Square Roots
Product Property of Square Roots
Quotient Property of Square Roots
Imaginary Numbers
Square Root Property
Complex Numbers
Complex Conjugates
Completing the Square
The Quadratic Formula
The Discriminant
Vertex Form
Quadratic Inequalities
Quotient of Powers
Product of Powers
Negative Exponents
Power of a Power
Power of a Product
Power of a Quotient
Scientific Notation
Dimensional Analysis
Synthetic Division
Polynomial Functions
End Behavior of a Polynomial Function
The Location Principle
Relative Minimums and Relative Maximums
Quadratic Functions
The Remainder Theorem and Synthetic Substitution
Depressed Polynomials and Factor Theorem
Fundamental Theorem of Algebra
Descartes' Rule of Signs
Complex Conjugates Theorem
Rational Zero Theorem
Composition of Functions
Inverse of a Relation
Inverse Functions
Square Root Functions
Square Root Inequality
Definition of nth Roots
Simplifying Radical Expressions
Like Radical Expressions
Conjugates, Part Two
Rational Exponents
Radical Equations
Radical Inequalities
Unit III - Advanced Functions and Relations
Unit IV - Discrete Mathematics
Rational Expressions
Multiplying Rational Expressions
Dividing Rational Expressions
Complex Fractions
Rational Functions
Direct Variation + Constant of Variation
Joint Variation
Inverse Variation
Rational Equations
Rational Inequalities
Exponential Functions
Exponential Growth
Exponential Decay
Exponential Equations
Exponential Inequalities
Logarithms
Logarithmic Equations
Logarithmic Inequalities
Property of Equality for Logarithmic Functions
Property of Inequality for Logarithmic Functions
Product Property of Logarithms
Quotient Property of Logarithms
Power Property of Logarithms
Common Logarithms
Change of Base Formula
The Natural Base (e)
Rate of Decay
Rate of Growth
Midpoint Formula
Distance Formula
Equation of a Parabola
Equation of a Circle
Ellipses
Equation of a Hyperbola
Solving Quadratic Systems
Arithmetic Sequences
Arithmetic Mean for Samples and Populations
Arithmetic Series
Sigma Notation
Geometric Sequence
Geometric Mean
Geometric Series
Infinite Geometric Series
Fibonacci Sequence
Iteration
Pascal’s Triangle
The Binomial Theorem
Factorials
The Basics of Probability
Fundamental Counting Principle
Factorials
Permutations
Combinations
Multiplication Rule (Probability “and”)
Addition Rule (Probability “or”)
Descriptive and Inferential Statistics
Sampling Methods
Matrices
Scalar Multiplication of Matrices
Frequency Distributions and Cumulative Frequency Distributions
Bar Graphs and Pie Charts
Histograms and Stem & Leaf Plots
Range
Percentiles and Quartiles
The Five Number Summary, Interquartile Range(IQR), and Boxplots
The Effects of Outliers
Central Tendency: Mean, Median, and Mode
Variance and Standard Deviation of a Population
Variance and Standard Deviation of a Sample
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