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