Algebra II Math Mission

The 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.

The Algebra II Math Mission Dashboard

Mission specifics

Mission Foundations

1. Evaluating expressions with variables word problems
2. Equations with parentheses
3. Multiplying binomials 2
4. Pythagorean theorem
5. Equivalent expressions with distribution and combining like terms
6. Adding and subtracting negative fractions
7. Manipulating fractional exponents
8. Graphing inequalities and checking solutions
9. Slope-intercept equation from two solutions
10. Linear models word problems
11. Linear equation word problems
12. Identifying terms, factors, and coefficients in expressions
13. Approximating square roots
14. Graphing parabolas in all forms
15. Solving equations in terms of a variable
16. Fractional exponents 2
17. Simplifying rational expressions with exponent properties
18. Adding and subtracting radicals

Manipulating functions

1. Evaluate composite functions from formulas
2. Evaluate composite functions from graphs and tables
3. Compose functions
4. Shift functions
5. Summary: Transforming functions
6. Model situations by combining functions using arithmetic operations
7. Model situations by composing functions
8. Find inverse values of functions
9. Find inverses of polynomial, radical, and rational functions
10. Verify that two functions are inverses
11. Analyze invertible and non-invertible functions

Introduction to complex numbers

1. Simplify powers of the imaginary unit
2. The imaginary unit and complex numbers
3. Plot complex numbers on the complex plane
4. Adding and subtracting complex numbers
5. Multiplying complex numbers
6. Dividing complex numbers
7. Find the absolute value of complex numbers
8. Simplify square roots of negative numbers

Arithmetic with polynomials

1. Add and subtract polynomials with one variable
2. Add and subtract polynomials with two variables
3. Multiply binomials by polynomials
4. Find special products of binomials (advanced)
5. Divide polynomials by monomials with remainders
6. Divide polynomials by linear binomials with remainders
7. Divide polynomials by polynomials with remainders
8. Use the Polynomial Remainder Theorem to analyze factors of polynomials

Systems of equations and inequalities

1. Solving systems of equations graphically
2. Solving systems of linear equations with elimination 1
3. Solving systems of linear equations with elimination 2
4. Solving systems of linear equations with substitution
5. Solving systems of two linear equations
6. Analyze solutions to linear systems graphically
7. Completing solutions of systems of inequalities
8. Graphing systems of inequalities and checking solutions
9. Two-variable linear inequalities word problems
10. Intersecting functions
11. Systems of nonlinear equations

Functions and their graphs

1. Evaluating functions
2. Evaluating function expressions
3. Modeling with combined functions
4. Domain and range from graph
5. Domain of a function
6. Range of a function
7. Recognizing functions from tables
8. Recognizing functions from graphs
9. Evaluating composite functions
10. Modeling with composite functions
11. Inverses of linear functions
12. Algebraically finding inverses
13. Domain and range with inverse functions
14. Understanding inverses of functions
15. Graphs of absolute value functions
16. Graphs of piecewise nonlinear functions
17. Shifting and reflecting functions
18. Graphs of square root functions
19. Positive and negative intervals
20. Determine if a function is even or odd from its graph
21. Recognizing features of functions
22. Interpreting graphs word problems
23. Comparing features of functions
24. Understanding linear and exponential models
25. New operator definitions 1
26. New operator definitions 2

Polynomial and rational functions

1. Factoring quadratics 1
2. Solving quadratics by factoring
3. Factoring quadratics 2
4. Factoring differences of squares
5. Solve factorable quadratic equations (leading coefficient is other than 1)
6. Factoring polynomials by grouping
7. Solving quadratics by taking the square root
8. Solving quadratics by completing the square 1
9. Solving quadratics by completing the square 2
10. Solve quadratic equations using the quadratic formula
11. Quadratic formula with complex solutions
12. Solutions to quadratic equations
13. Adding and subtracting polynomials
14. Multiplying polynomials
15. Equivalent forms of polynomial expressions
16. Polynomial identities
17. Dividing polynomials with remainders
18. Remainder theorem of polynomials
19. Using zeros to graph polynomials
20. Graphs of polynomials
21. Binomial theorem
22. Partial fraction expansion
23. Advanced structure in expressions
24. The fundamental theorem of algebra

Rational expressions, equations, and functions

1. Dividing polynomials by binomials 1
2. Dividing polynomials by binomials 2
3. Simplifying rational expressions 2
4. Dividing polynomials by binomials 3
5. Simplifying rational expressions 3
6. Simplifying rational expressions 4
7. Adding and subtracting rational expressions 1
8. Adding and subtracting rational expressions 2
9. Adding and subtracting rational expressions 3
10. Adding and subtracting rational expressions 4
11. Adding and subtracting rational expressions 5
12. Adding and subtracting rational expressions 6
13. Adding and subtracting rational expressions 7
14. Graphs of rational functions
15. Partial fraction expansion
16. Solving rational equations 1
17. Solving rational equations 2
18. Extraneous solutions to rational equations
19. Multiplying and dividing rational expressions 1
20. Multiplying and dividing rational expressions 2
21. Multiplying and dividing rational expressions 3
22. Multiplying and dividing rational expressions 4
23. Multiplying and dividing rational expressions 5
24. Simplify rational expressions by canceling monomial factors

Exponential and logarithmic functions

1. Understanding linear and exponential models
2. Equivalent forms of exponential expressions
3. Comparing growth rates of exponentials and polynomials
4. Constructing linear and exponential functions
5. Rewriting and interpreting exponential functions
6. Modeling with exponential functions
7. Using logarithms to solve exponential equations
8. Graphs of exponentials and logarithms
9. Solve exponential equations using logarithms (base-10 and base-e)
10. Evaluating logarithms (basic)
11. Evaluating logarithms (advanced)
12. Understanding logarithms as inverse exponentials
13. Operations with logarithms

Introduction to conic sections

1. Pythagorean theorem and the equation of a circle
2. Equation of a circle in factored form
3. Graphing circles
4. Equation of a circle in non-factored form
5. Graphing circles 2
6. Equation of an ellipse
7. Exploring the foci of an ellipse
8. Parabola intuition 1
9. Parabola intuition 2
10. Parabola intuition 3
11. Asymptotes of a hyperbola

Polynomial expressions, equations, and functions

1. Find the zeros of polynomials
2. Determine the end behavior of polynomials
3. Determine if a polynomial function is even or odd from its formula

Matrices

1. Matrix dimensions
2. Representing relationships with matrices
3. Scalar matrix multiplication
4. Matrix addition and subtraction
5. Matrix transpose
6. Multiplying a matrix by a matrix
7. Defined and undefined matrix operations

Radical equations and functions

1. Radical equations
2. Extraneous solutions to radical equations
3. Solve equations with two rational expressions
4. Determine the end behavior of rational functions
5. Identify and analyze discontinuities of rational functions

Miscellaneous

1. Algebra II warmup

Users can view other Math Missions here.