Use an Eliminating Linear Combination
A system can be solved by adding equations whose opposite variable coefficients cancel.
About 20 minutes, plus any extended practice
Open lesson 1Algebra1: Systems and Feasible Linear Models
A mathematical plan can require simultaneous equalities or inequalities. The feasible set contains inputs satisfying all constraints, and a linear objective asks which allowed choice gives the greatest or least modeled value.
Before you begin
- Solve two-variable linear systems; evaluate inequalities; read coordinate points.
Choose by skill rather than age alone. Read with an adult when useful, revisit a lesson, or explore another grade.
Follow the lesson sequence
Test a Point against Every Constraint
A feasible point satisfies all listed restrictions at once.
About 20 minutes, plus any extended practice
Open lesson 2Choose the Boundary Style and Shaded Side
A strict linear inequality excludes its equality line, represented by a dashed boundary.
About 20 minutes, plus any extended practice
Open lesson 3Optimize within a Simple Feasible Region
An objective assigns a modeled value to each feasible choice.
About 20 minutes, plus any extended practice
Open lesson 4Review and transfer
After the lessons, try 4 new review cases and a practical task. Each answer has an explanation and a link back to the related lesson.
Open the unit reviewGuest answers are temporary. Keep your own paper or document; this unit does not certify completion or record a school grade.
Topic references
- OpenStax mathematical topic reference: topic reference — Algebra1: Systems and Feasible Linear Models
These references informed the topic selection. They do not certify complete standards alignment.