This topic covers: - Finite arithmetic series - Finite geometric series - Infinite geometric series - Deductive & inductive reasoning
This topic covers: - Evaluating functions - Domain & range of functions - Graphical features of functions - Average rate of change of functions - Function combination and composition - Function transformations (shift, reflect, stretch) - Piecewise functions - Inverse functions - Two-variable functions
This topic covers: - Evaluating algebraic expressions - Manipulating algebraic expressions & equivalent expressions - Seeing structure in expressions - Irrational numbers - Division by zero
This topic covers: - Adding, subtracting, multiplying, & dividing complex numbers - Complex plane - Absolute value & angle of complex numbers - Polar coordinates of complex numbers
Exponential_logarithmic_functions
This topic covers: - Radicals & rational exponents - Graphs & end behavior of exponential functions - Manipulating exponential expressions using exponent properties - Exponential growth & decay - Modeling with exponential functions - Solving exponential equations - Logarithm properties - Solving logarithmic equations - Graphing logarithmic functions - Logarithmic scale
This topic covers: - Solutions to linear inequalities and systems of inequalities - Graphing linear inequalities and systems of inequalities - Linear inequalities and systems of inequalities word problems
This topic covers: - Solving radical equations - Graphing radical functions
This topic covers: - Vector magnitude - Vector scaling - Unit vectors - Adding & subtracting vectors - Magnitude & direction form - Vector applications
Rational_expressions_equations_functions
This topic covers: - Simplifying rational expressions - Multiplying, dividing, adding, & subtracting rational expressions - Rational equations - Graphing rational functions (including horizontal & vertical asymptotes) - Modeling with rational functions - Rational inequalities - Partial fraction expansion
This topic covers: - Recursive and explicit formulas for sequences - Arithmetic sequences - Geometric sequences - Sequences word problems
This topic covers: - Adding & subtracting matrices - Multiplying matrices by scalars - Multiplying matrices - Representing & solving linear systems with matrices - Matrix inverses - Matrix determinants - Matrices as transformations - Matrices applications
This topic covers the four conic sections and their equations: Circle, Ellipse, Parabola, and Hyperbola.
Solving_basic_equations_inequalities_one_variable_linear_
This topic covers: - Solving one-variable linear equations - Solving one-variable linear inequalities
Polynomial_expressions_equations_functions
This topic covers: - Adding, subtracting, and multiplying polynomial expressions - Factoring polynomial expressions as the product of linear factors - Dividing polynomial expressions - Proving polynomials identities - Solving polynomial equations & finding the zeros of polynomial functions - Graphing polynomial functions - Symmetry of functions
Linear_equations_functions_graphs
This topic covers: - Intercepts of linear equations/functions - Slope of linear equations/functions - Slope-intercept, point-slope, & standard forms - Graphing linear equations/functions - Writing linear equations/functions - Interpreting linear equations/functions - Linear equations/functions word problems
This topic covers: - Solving quadratic equations - Graphing quadratic functions - Features of quadratic functions - Quadratic equations/functions word problems - Systems of quadratic equations - Quadratic inequalities
This topic covers: - Unit circle definition of trig functions - Trig identities - Graphs of sinusoidal & trigonometric functions - Inverse trig functions & solving trig equations - Modeling with trig functions - Parametric functions
This topic covers: - Solutions of linear systems - Graphing linear systems - Solving linear systems algebraically - Analyzing the number of solutions to systems - Linear systems word problems
Absolute_value_equations_functions_inequalities
This topic covers: - Solving absolute value equations - Graphing absolute value functions - Solving absolute value inequalities
This topic covers various subjects that concern modeling real-world situations with algebra.
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