Algebra 2 Khan Academy studies
Graphing systems with one, zero, or infinite solutions
1. A solution is two lines that intersect. = Solution 2. A line where both lines are touching moving in the same direction.= Infinite Solutions 3. Two parallel lines= No solution https://www.khanacademy.org/mission/algebra2/task/4648613476302848
Factoring difference of squares 3
Factoring a difference of squares in the format C(Ax+b)*(Ax-b) https://www.khanacademy.org/mission/algebra2/task/6471151290417152
Graphs of square root functions
Find the domain of the square root Then plot allowed points. https://www.khanacademy.org/mission/algebra2/task/5320283431632896
Evaluating composite functions
Find the result when one function is the input of another. When you input a result into one function, take the result an input that into the other function. https://www.khanacademy.org/mission/algebra2/task/6448923173715968
Solving quadratics by completing the square 2
Find the roots of a quadratic by completing the square. The numbers are a bit less convenient than they are in level 1. https://www.khanacademy.org/mission/algebra2/task/5190020898750464
Solving quadratics by completing the square 1
Find the roots of a quadratic equation by completing the square. We complete the square by taking half of the coefficient of our x term, squaring it, and adding it to both sides of the equation. https://www.khanacademy.org/mission/algebra2/task/6111753059172352
Solving quadratics by factoring 2
Find the solution https://www.khanacademy.org/mission/algebra2/task/5062565529649152
Graphs of piecewise linear functions
Find where the values of x stop and continue Make sure to use parentheses and brackets correctly. https://www.khanacademy.org/mission/algebra2/task/4859991113859072
Systems of nonlinear equations
Find x or y by cancelling out one of the variables. Plug in the variable and graph the variable or parabola. Find the solution that works for both. https://www.khanacademy.org/mission/algebra2/task/5593614326693888
Positive and negative parts of functions
Identify positive and negative regions on graphs of functions https://www.khanacademy.org/mission/algebra2/task/5959606896164864
Factoring difference of squares 1
Square the whole number and then +- within the binomials. https://www.khanacademy.org/mission/algebra2/task/6097309688135680
Systems with one, zero, or infinite solutions
1. Convert to slope intercept form 2. A solution is two lines that intersect. = Solution 3. A line where both lines are touching moving in the same direction.= Infinite Solutions 4. Two parallel lines= No solution https://www.khanacademy.org/mission/algebra2/task/5362616204787712
Graphing systems of equations
1. Convert to slope intercept form. 2. Input zero for y and x for each equation and graph each equation. 3. Find where the equations intersect. https://www.khanacademy.org/mission/algebra2/task/6415514913210368
Systems of equations with substitution
1. Input the variable into the equations. 2. Subtract whole numbers on both sides. 3. Divide both sides by the variable. 4. Insert the variable in the the substitution and check your work. https://www.khanacademy.org/mission/algebra2/task/5462821700894720
Domain of a function
1. Set a root equal or greater to 0. 2.If the Denominator is a square root, it must be greater than 0. 3. If the nominator is a square root, it must be greater or equal to 0. https://www.khanacademy.org/mission/algebra2/task/6652105040592896
Systems of equations
1. Use elimination, substitution, or graphing to solve the problem. https://www.khanacademy.org/mission/algebra2/task/6714474945052672
Systems of equations with simple elimination
1. X-values or y-values cancel each other out. 2. Divide both sides of the equation for the value of x or y. 3. Check work by substitution. https://www.khanacademy.org/mission/algebra2/task/5540299270258688
Adding and subtracting polynomials
Add or subtract polynomials https://www.khanacademy.org/mission/algebra2/task/5705146810761216
Graphing and solving systems of inequalities
Check if the points provided are solutions Rules for graphing inequalities <> is dashed line. If it's greater than y, shade under. If y is greater,shade over. <__> is solid line. If it's greater than y, shade under. If y is greater, shade over. https://www.khanacademy.org/mission/algebra2/task/6320757037858816
Solutions to quadratic equations
Determine how many solutions a quadratic equation has and whether they are rational, irrational, or complex https://www.khanacademy.org/mission/algebra2/task/5950965604941824
Even and odd functions
Determine if a graphed function is even, odd, or neither. https://www.khanacademy.org/mission/algebra2/task/5274364157886464
Shifting and reflecting functions
Determine the equation for one graphed function in terms of another. https://www.khanacademy.org/mission/algebra2/task/4860068894605312
Inverses of linear functions
Determine the inverse of a linear function based on the equation and graph Use algebraic manipulation to solve for x but name the variables x in the end. https://www.khanacademy.org/mission/algebra2/task/4986543533195264
Domain and range from graph
Domain: All possible values for x. Range: The lowest and highest y. https://www.khanacademy.org/mission/algebra2/task/4786407511162880
Factoring quadratics 1
Factor quadratics that are not perfect squares, where the leading coefficient is 1. https://www.khanacademy.org/mission/algebra2/task/6698671849340928
Solving quadratics by factoring
Factor quadratics to find the x-intercepts. Solve a polynomial by factoring. https://www.khanacademy.org/mission/algebra2/task/4560914841075712
Range of a function
Input the x and determine the inequality of the range. Values that go above or below the variable determine the inequality. If it's equal to the input, say it's greater not greater or equal to. https://www.khanacademy.org/mission/algebra2/task/4530077814751232
Understanding inverses of functions
Inverse function table When you see an inverse, x and y flip. f(x)=y<-->f^-1(y)=x https://www.youtube.com/watch?v=o5GIiwVMo2o https://www.khanacademy.org/mission/algebra2/task/4701975710269440
Remainder theorem of polynomials
P(x)/(x-a) is the polynomial remainder theorem. https://www.khanacademy.org/mission/algebra2/task/4856782152531968
Graphs of absolute value functions
Practice graphing absolute functions. Inputing x's into absolute functions. https://www.khanacademy.org/mission/algebra2/task/6019493504221184
Graphing systems of inequalities
Rules for graphing inequalities <> is dashed line. If it's greater than y, shade under. If y is greater,shade over. <__> is solid line. If it's greater than y, shade under. If y is greater, shade over. https://www.khanacademy.org/mission/algebra2/task/6023356456632320
Algebraically finding inverses
Use algebra to find the inverse of a given function https://www.khanacademy.org/mission/algebra2/task/6039100095463424
Using the quadratic formula
Use the quadratic formula to find the roots of a quadratic function https://www.khanacademy.org/mission/algebra2/task/6655820489293824
Evaluating expressions with function notation
When x equals a variable, what is y? If F(x) is graphed, find F(-1) by finding where y is according to the x. Find the y's of each equation and input them into the equation. https://www.khanacademy.org/mission/algebra2/task/5830856089534464
Understanding function notation
When x equals a variable, what is y? If F(x) is graphed, find F(-1) by finding where y is according to the x. https://www.khanacademy.org/mission/algebra2/task/6118686074339328
Factoring polynomials by grouping
https://www.khanacademy.org/mission/algebra2/task/4547952797548544
Graphs of polynomials
https://www.khanacademy.org/mission/algebra2/task/4553624739643392
Factoring quadratics 2
https://www.khanacademy.org/mission/algebra2/task/5059620824678400
Recognizing features of functions
https://www.khanacademy.org/mission/algebra2/task/5274364157886464
Dividing polynomials with remainders
https://www.khanacademy.org/mission/algebra2/task/5335178344660992
Solving quadratics by taking the square root
https://www.khanacademy.org/mission/algebra2/task/5450011222736896
The fundamental theorem of algebra
https://www.khanacademy.org/mission/algebra2/task/5513761927200768
Multiplying polynomials
https://www.khanacademy.org/mission/algebra2/task/5938994358255616
Binomial theorem
https://www.khanacademy.org/mission/algebra2/task/5992605128327168
Partial fraction expansion
https://www.khanacademy.org/mission/algebra2/task/6054953173647360
Advanced structure in expressions
https://www.khanacademy.org/mission/algebra2/task/6278400256507904
Using zeros to graph polynomials
https://www.khanacademy.org/mission/algebra2/task/6450004668186624
Quadratic formula with complex solutions
https://www.khanacademy.org/mission/algebra2/task/6547078730481664
Factoring difference of squares 2
https://www.khanacademy.org/mission/algebra2/task/6655759990652928
