AI.A-CED.A.3
Represent constraints by linear equations or inequalities, and by systems of linear equations and/or inequalities, and interpret solutions as viable or non-viable options in a modeling context. For example, represent inequalities describing nutritional and cost constraints on combinations of different foods.
Example Problems
Tony is 5 years older than Beth. He is also 8 years older than half of Beth's age.
Let be Tony's age and be Beth's age.
Write a system of equations to represent this situation.
Let be Tony's age and be Beth's age.
Write a system of equations to represent this situation.
Fred is 4 times as old as Nathan and is also 27 years older than Nathan.
Let be Fred's age and let be Nathan's age.
Write a system of equations to represent this situation.
Let be Fred's age and let be Nathan's age.
Write a system of equations to represent this situation.
Candace purchased 2 notebooks and 3 pencils for a total of $9.
A month later, she purchased 3 notebooks and 2 pencils at the same prices, for a total of $8.
How much does one notebook cost?
A month later, she purchased 3 notebooks and 2 pencils at the same prices, for a total of $8.
How much does one notebook cost?
Khan Academy ResourcesTwo-variable inequalities word problemsSystems of equations word problems (with zero and infinite solutions)Systems of inequalities word problemsSystems of equations with substitution: potato chipsModeling with systems of inequalitiesGraphs of systems of inequalities word problemWriting systems of inequalities word problemSolving two-variable inequalities word problemSolving systems of inequalities word problem
1-on-1 AI tutoring aligned to AI.A-CED.A.3. 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 →