M1.A.CED.A.3

Create individual and systems of equations and/or inequalities to represent constraints in a contextual situation, and interpret solutions as viable or non-viable.

Example Problems
Is a solution to this system of inequalities?


In 16 years, Ben will be 3 times as old as he is 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?
Khan Academy Resources
Logarithm change of base rule introSolving exponential equations using logarithmsUsing units to solve problemsExponential model word problemsSolve exponential equations using logarithms: base-2 and other basesSolve exponential equations using logarithms: base-10 and base-eUsing inequalities to solve problemsTwo-variable inequalities word problemsSystems of equations word problems (with zero and infinite solutions)Evaluate logarithms: change of base ruleComparing linear rates word problemsConstruct exponential modelsModeling with sinusoidal functionsSystems of inequalities word problemsSystems of equations with substitution: potato chipsQuadratic equations word problem: triangle dimensionsUsing units to solve problems: Drug dosageModeling with systems of inequalitiesQuadratic equations word problem: box dimensionsEvaluating logarithms: change of base ruleConstructing exponential models: percent changeTrig word problem: modeling annual temperatureConstructing exponential models: half lifeSolving exponential equations using logarithms: base-10Exponential model word problem: bacteria growthGraphs of systems of inequalities word problemExponential model word problem: medication dissolveComparing linear rates exampleWriting systems of inequalities word problemTwo-variable linear equations introSolving exponential equations using logarithms: base-2Solving two-variable inequalities word problemConstructing exponential modelsSolving systems of inequalities word problemTrig word problem: modeling daily temperatureUsing inequalities to solve problems
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