8A.15
Represent constraints by equations and/or inequalities, and solve systems of equations and/or inequalities, interpreting solutions as viable or nonviable options in a modeling context. Limit to contexts arising from linear, quadratic, exponential, absolute value, and linear piecewise functions. [Algebra I with Probability, 13]
Example Problems
In 16 years, Ben will be 3 times as old as he is right now.
How old is he right now?
How old is he right now?
In 12 years, Nathan will be 4 times as old as he is right now.
How old is he right now?
How old is he right now?
In 12 years, Paige will be 5 times as old as she is right now.
How old is she right now?
How old is she right now?
Khan Academy ResourcesIntro to slopeNumber of solutions to system of equations reviewSlope formulaSubstitution method review (systems of equations)Slope reviewSlope-intercept form reviewSystems of equations with substitutionSystems of equations with graphingSystems of equations with substitutionSlope-intercept introSlope from two pointsSlope-intercept from two pointsSystems of equations word problemsSlope from graphNumber of solutions to a system of equations graphicallySlope-intercept equation from graphSlope from equationNumber of solutions to a system of equations algebraicallySolutions of systems of equationsSystems of equations: trolls, tolls (2 of 2)Systems of equations: trolls, tolls (1 of 2)Systems of equations number of solutions: fruit prices (1 of 2)Systems of equations with substitution: -3x-4y=-2 & y=2x-5Systems of equations number of solutions: fruit prices (2 of 2)Worked example: slope from graphConverting to slope-intercept formSystems of equations with substitution: y=-1/4x+100 & y=-1/4x+120Systems of equations with substitution: y=4x-17.5 & y+2x=6.5Systems of equations with substitution: 9x+3y=15 & y-x=5Slope of a line: negative slopeWorked example: slope from two pointsSlope of a horizontal lineSystems of equations with substitution: 2y=x+7 & x=y-4Systems of equations with substitution: y=-5x+8 & 10x+2y=-2Slope & direction of a linePositive & negative slopeNumber of solutions to a system of equations algebraicallySlope from equationWorked examples: slope-intercept introIntro to slope

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