EF.2.MAA.1
Represent constraints by equations or inequalities and by systems of equations and/or inequalities (two and three variable systems); interpret solutions as viable or nonviable options in a modeling context (e.g., represent inequalities describing nutritional and cost constraints on combinations of different foods)
Example Problems
Marina wants to spend at most $40 on school supplies.
Each binder costs $4.50, and each pack of pencils costs $1.20.
Write an inequality that represents the number of binders () and packs of pencils () she can buy within her budget.
Each binder costs $4.50, and each pack of pencils costs $1.20.
Write an inequality that represents the number of binders () and packs of pencils () she can buy within her budget.
Jordan wants to spend at most at a bakery. Each loaf of bread costs , and each pastry costs .
Write an inequality that represents the number of loaves of bread and pastries Jordan can buy on this budget.
Write an inequality that represents the number of loaves of bread and pastries Jordan can buy on this budget.
Wang Hao wants to spend at most $15 on dairy products.
Each liter of goat milk costs $2.40, and each liter of cow's milk costs $1.20.
Write an inequality that represents the number of liters of goat milk () and cow's milk () Wang Hao can buy on his budget.
Each liter of goat milk costs $2.40, and each liter of cow's milk costs $1.20.
Write an inequality that represents the number of liters of goat milk () and cow's milk () Wang Hao can buy on his budget.
Khan Academy ResourcesLogarithm 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
1-on-1 AI tutoring aligned to EF.2.MAA.1. Instant help for students, real-time insights for teachers.
Used in classrooms by 100,000+ students at Baltimore County, Plano ISD, Deer Valley USD, KIPP, and districts nationwide.
Free for teachers, forever →