# Algebra II Math Mission

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**Algebra II Math Mission**is a set of skills on Khan Academy. This mission consists of many topics that build off of the Algebra I Math Mission such as systems of equations, inequalities, functions, exponential and logarithmic functions, logarithms, and many more topics.## Mission specifics

### Mission Foundations

- Evaluating expressions with variables word problems
- Equations with parentheses
- Multiplying binomials 2
- Pythagorean theorem
- Equivalent expressions with distribution and combining like terms
- Adding and subtracting negative fractions
- Manipulating fractional exponents
- Graphing inequalities and checking solutions
- Slope-intercept equation from two solutions
- Linear models word problems
- Linear equation word problems
- Identifying terms, factors, and coefficients in expressions
- Approximating square roots
- Graphing parabolas in all forms
- Solving equations in terms of a variable
- Fractional exponents 2
- Simplifying rational expressions with exponent properties
- Adding and subtracting radicals

### Manipulating functions

- Evaluate composite functions from formulas
- Evaluate composite functions from graphs and tables
- Compose functions
- Shift functions
- Summary: Transforming functions
- Model situations by combining functions using arithmetic operations
- Model situations by composing functions
- Find inverse values of functions
- Find inverses of polynomial, radical, and rational functions
- Verify that two functions are inverses
- Analyze invertible and non-invertible functions

### Introduction to complex numbers

- Simplify powers of the imaginary unit
- The imaginary unit and complex numbers
- Plot complex numbers on the complex plane
- Adding and subtracting complex numbers
- Multiplying complex numbers
- Dividing complex numbers
- Find the absolute value of complex numbers
- Simplify square roots of negative numbers

### Arithmetic with polynomials

- Add and subtract polynomials with one variable
- Add and subtract polynomials with two variables
- Multiply binomials by polynomials
- Find special products of binomials (advanced)
- Divide polynomials by monomials with remainders
- Divide polynomials by linear binomials with remainders
- Divide polynomials by polynomials with remainders
- Use the Polynomial Remainder Theorem to analyze factors of polynomials

### Systems of equations and inequalities

- Solving systems of equations graphically
- Solving systems of linear equations with elimination 1
- Solving systems of linear equations with elimination 2
- Solving systems of linear equations with substitution
- Solving systems of two linear equations
- Analyze solutions to linear systems graphically
- Completing solutions of systems of inequalities
- Graphing systems of inequalities and checking solutions
- Two-variable linear inequalities word problems
- Intersecting functions
- Systems of nonlinear equations

### Functions and their graphs

- Evaluating functions
- Evaluating function expressions
- Modeling with combined functions
- Domain and range from graph
- Domain of a function
- Range of a function
- Recognizing functions from tables
- Recognizing functions from graphs
- Evaluating composite functions
- Modeling with composite functions
- Inverses of linear functions
- Algebraically finding inverses
- Domain and range with inverse functions
- Understanding inverses of functions
- Graphs of absolute value functions
- Graphs of piecewise nonlinear functions
- Shifting and reflecting functions
- Graphs of square root functions
- Positive and negative intervals
- Determine if a function is even or odd from its graph
- Recognizing features of functions
- Interpreting graphs word problems
- Comparing features of functions
- Understanding linear and exponential models
- New operator definitions 1
- New operator definitions 2

### Polynomial and rational functions

- Factoring quadratics 1
- Solving quadratics by factoring
- Factoring quadratics 2
- Factoring differences of squares
- Solve factorable quadratic equations (leading coefficient is other than 1)
- Factoring polynomials by grouping
- Solving quadratics by taking the square root
- Solving quadratics by completing the square 1
- Solving quadratics by completing the square 2
- Solve quadratic equations using the quadratic formula
- Quadratic formula with complex solutions
- Solutions to quadratic equations
- Adding and subtracting polynomials
- Multiplying polynomials
- Equivalent forms of polynomial expressions
- Polynomial identities
- Dividing polynomials with remainders
- Remainder theorem of polynomials
- Using zeros to graph polynomials
- Graphs of polynomials
- Binomial theorem
- Partial fraction expansion
- Advanced structure in expressions
- The fundamental theorem of algebra

### Rational expressions, equations, and functions

- Dividing polynomials by binomials 1
- Dividing polynomials by binomials 2
- Simplifying rational expressions 2
- Dividing polynomials by binomials 3
- Simplifying rational expressions 3
- Simplifying rational expressions 4
- Adding and subtracting rational expressions 1
- Adding and subtracting rational expressions 2
- Adding and subtracting rational expressions 3
- Adding and subtracting rational expressions 4
- Adding and subtracting rational expressions 5
- Adding and subtracting rational expressions 6
- Adding and subtracting rational expressions 7
- Graphs of rational functions
- Partial fraction expansion
- Solving rational equations 1
- Solving rational equations 2
- Extraneous solutions to rational equations
- Multiplying and dividing rational expressions 1
- Multiplying and dividing rational expressions 2
- Multiplying and dividing rational expressions 3
- Multiplying and dividing rational expressions 4
- Multiplying and dividing rational expressions 5
- Simplify rational expressions by canceling monomial factors

### Exponential and logarithmic functions

- Understanding linear and exponential models
- Equivalent forms of exponential expressions
- Comparing growth rates of exponentials and polynomials
- Constructing linear and exponential functions
- Rewriting and interpreting exponential functions
- Modeling with exponential functions
- Using logarithms to solve exponential equations
- Graphs of exponentials and logarithms
- Solve exponential equations using logarithms (base-10 and base-e)
- Evaluating logarithms (basic)
- Evaluating logarithms (advanced)
- Understanding logarithms as inverse exponentials
- Operations with logarithms

### Introduction to conic sections

- Pythagorean theorem and the equation of a circle
- Equation of a circle in factored form
- Graphing circles
- Equation of a circle in non-factored form
- Graphing circles 2
- Equation of an ellipse
- Exploring the foci of an ellipse
- Parabola intuition 1
- Parabola intuition 2
- Parabola intuition 3
- Asymptotes of a hyperbola

### Polynomial expressions, equations, and functions

- Find the zeros of polynomials
- Determine the end behavior of polynomials
- Determine if a polynomial function is even or odd from its formula

### Matrices

- Matrix dimensions
- Representing relationships with matrices
- Scalar matrix multiplication
- Matrix addition and subtraction
- Matrix transpose
- Multiplying a matrix by a matrix
- Defined and undefined matrix operations

### Radical equations and functions

- Radical equations
- Extraneous solutions to radical equations
- Solve equations with two rational expressions
- Determine the end behavior of rational functions
- Identify and analyze discontinuities of rational functions

### Miscellaneous

Users can view other Math Missions here.