HS.A-REI.11
Using graphs, technology, tables, or successive approximations, show that the solution(s) to the equation f(x) = g(x) are the x-value(s) that result in the y-values of f(x) and g(x) being the same.
Example Problems
This table gives a few (x, y) pairs of a line in the coordinate plane.
What is the x-intercept of the line?
| x | y |
|---|---|
| 0 | 4 |
| 4 | 2 |
| 8 | 0 |
What is the x-intercept of the line?
This table gives a few (x, y) pairs of a line in the coordinate plane.
What is the x-intercept of the line?
| x | y |
|---|---|
| 0 | 6 |
| 1 | 4 |
| 2 | 2 |
What is the x-intercept of the line?
This table gives a few (x, y) pairs of a line in the coordinate plane.
What is the x-intercept of the line?
| x | y |
|---|---|
| -2 | 7 |
| 0 | 5 |
| 3 | 2 |
What is the x-intercept of the line?
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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