A1.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
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.
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.
Sarah is 5 times as old as Michael and is also 30 years older than Michael.

Let
be Sarah's age and let be Michael's age.

Write a system of equations to represent this situation.
Khan Academy Resources
Goblins

1-on-1 AI tutoring aligned to A1.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 →