Curriculum placement
Grade 8. This describes the skill, not a learner estimate.
Systems of linear equations
Solve a pair of linear equations and interpret intersections
Problem types
- Solve a linear system
- Solve a three-variable system by elimination
- Estimate a system's solution from a graph
- Find the value of an expression from linear equations
- Enter a variable from a 2×2 system
- Enter the value of an expression from a system
- Solve for both coordinates
- Count a linear system’s solutions
- Find when two plans meet
- Why the crossing solves the system
- Plot points on a system line
- Estimate where two lines cross
- Choose the equation that results from substitution
- Choose a second equation for a system
Builds on
- Linear equations with variables on both sides
- Slope of a line
- A graph as the solution set · Earlier idea
An intercept is a shared point of a line and an axis. A linear system asks for the shared point of two lines, found with the same substitution of known coordinates.
Leads to
Related skills
- Average rate of change · Shared foundations
- Comparing functions · Shared foundations
- Proofs that use coordinates · Shared foundations
- Why each equation step is valid · Shared foundations
- Rearranging a formula · Shared foundations
Open the interactive map to explore lessons and skill connections.