Students write and interpret systems of two linear equations in two variables, determining whether an ordered pair satisfies both equations simultaneously and representing the solution as the intersection of their graphs. They solve systems by graphing, estimate intersection coordinates when needed, and distinguish one solution, no solution from distinct parallel lines, and infinitely many solutions from coincident lines. They model comparison and other contextual situations with systems, interpret solutions using appropriate units and meanings, and apply practical restrictions such as nonnegative or whole-number quantities.
On this page:
- Master skills like “Identify systems with no solution”, “Identify systems with one solution”, and “Interpret solutions to systems in context” with unlimited, free practice problems
- Download (or modify) free worksheets on Systems of Linear Equations you can use at home or in class with practice problems across all skills in this group including “Solve systems of linear equations by graphing”, “Identify systems with infinitely many solutions”, “Write a system of linear equations from a context”.
- Start working on adaptive units like “Algebra - Systems of Equations - Practice” or “Algebra Systems of Equations - Intro” that include these skills and will introduce and scaffold the skills carefully for maximum learning.
Systems of Linear Equations: Individual Skills
Master 9 individual skills with free practice problems. Mouseover to see the skill's practice problems. Create a free account to track your progress.
Your results
- Determine whether an ordered pair solves a system of equations
- Identify systems with infinitely many solutions
- Identify systems with no solution
- Identify systems with one solution
- Interpret solutions to systems in context
- Interpret the solution to a system of linear equations
- Model comparison problems using systems of linear equations
- Solve systems of linear equations by graphing
- Write a system of linear equations from a context
Practice 'Determine whether an ordered pair solves a system of equations'
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Download/Modify Free Grade 9 'Systems of Linear Equations' Worksheet
Print this free 'Systems of Linear Equations' worksheet to practice these skills away from the computer. Click 'Modify' to easily customize this worksheet to your exact needs.
This Worksheet Includes:
- Determine whether an ordered pair solves a system of equations
- Identify systems with infinitely many solutions
- Identify systems with no solution
- Identify systems with one solution
- Interpret solutions to systems in context
- Interpret the solution to a system of linear equations
- Model comparison problems using systems of linear equations
- Solve systems of linear equations by graphing
Units Teaching These Skills
These adaptive units introduce, teach, or reinforce skills in this group (Systems of Linear Equations) through scaffolded problems that grow in difficulty as concepts are understood.