A2.ACE.2
Create equations in two or more variables to represent relationships between quantities. Graph the equations on coordinate axes using appropriate labels, units, and scales.
Example Problems
A freight train carries c containers weighing w tons each and k pallets weighing q tons each, for a total load of L tons.
Write an equation that relates c, w, k, q, and L.
Write an equation that relates c, w, k, q, and L.
A restaurant sells g gourmet burgers at s dollars each and p plates of pasta at t dollars each, earning L dollars in lunch revenue.
Write an equation that relates g, s, p, t, and L.
Write an equation that relates g, s, p, t, and L.
A swimming pool is filled at a rate of r liters per minute for t minutes, after which q liters evaporate. The net gain in water is 3000 liters.
Write an equation that relates r, t, and q.
Write an equation that relates r, t, and q.
Khan Academy ResourcesSlope-intercept form reviewAge word problemsWriting linear equations word problemsSystems of equations word problemsSlope from graphLinear models word problemsModeling with multiple variablesGraphing linear relationships word problemsSlope-intercept equation from graphGraph labels and scalesModeling with sinusoidal functions: phase shiftConstruct exponential modelsModeling with sinusoidal functionsSystems of equations with elimination: x-4y=-18 & -x+3y=11Systems of equations with elimination: King's cupcakesSystems of equations with elimination: potato chipsSystems of equations number of solutions: fruit prices (1 of 2)Systems of equations number of solutions: fruit prices (2 of 2)Age word problem: Ben & WilliamAge word problem: Arman & DiyaAge word problem: ImranSlope-intercept equation from graphSlope-intercept form problemsSystems of equations with elimination: TV & DVDRational equations word problem: combined rates (example 2)Rational equations word problem: eliminating solutionsSlope-intercept equation from slope & pointSlope-intercept equation from two pointsSolutions to systems of equations: consistent vs. inconsistentSystems of equations with substitution: coinsRational equations word problem: combined ratesConstructing exponential models: percent changeTrig word problem: modeling annual temperatureTrig word problem: length of day (phase shift)Modeling with multiple variables: Roller coasterConstructing exponential models: half lifeLinear functions word problem: icebergLinear functions word problem: paintModeling with multiple variables: PancakesLinear functions word problem: poolSystems of equations with elimination: coffee and croissantsConstructing linear equations from contextSystem of equations word problem: infinite solutionsSystems of equations with elimination: apples and orangesSystem of equations word problem: no solutionSystem of equations word problem: walk & rideConstructing exponential modelsTrig word problem: modeling daily temperatureModeling with basic exponential functions word problem
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