HSA.REI.D.11
Explain why the x-coordinates of the points where the graphs of the equations y = f(x) and y = g(x) intersect are the solutions of the equation f(x) = g(x); Find the solutions approximately by: Using technology to graph the functions; Making tables of values; Finding successive approximations. Include cases (but not limited to) where f(x) and/or g(x) are: Linear; Polynomial; Rational; Exponential (Introduction in Algebra 1, Mastery in Algebra 2); Logarithmic functions
Example Problems
Do the following equations have the same solution?
Do the following equations have the same solution?
Do the following equations have the same solution?
Khan Academy ResourcesNumber of solutions to system of equations reviewSystems of equations with graphingSolving equations graphically: introNumber of solutions to a system of equations graphicallySolving equations graphically: word problemsNumber of solutions to a system of equations algebraicallySolving equations graphically: graphing calculatorSolutions of systems of equationsSystems of equations: trolls, tolls (2 of 2)Systems of equations: trolls, tolls (1 of 2)Systems of equations with graphing: y=7/5x-5 & y=3/5x-1Systems of equations number of solutions: fruit prices (1 of 2)Number of solutions to a system of equations graphicallySystems of equations number of solutions: fruit prices (2 of 2)Number of solutions to a system of equationsTesting a solution to a system of equationsSolutions to systems of equations: consistent vs. inconsistentSolutions to systems of equations: dependent vs. independentIntro to linear equation standard formSolving equations by graphing: word problemsHow many solutions does a system of linear equations have if there are at least two?Solving equations by graphingNumber of solutions to a system of equations algebraicallyTwo-variable linear equations introSolving equations by graphing: introIntro to point-slope formSolving equations by graphing: graphing calculatorSystems of equations with graphing: exact & approximate solutions

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