Mississippi Math A-REI.6
The Standard
Solve systems of linear equations algebraically, exactly using algebraic processes and approximately (e.g., graphically) while focusing on pairs of linear equations in two variables.
2025 Mississippi College- and Career-Readiness Standards for Mathematics · Solve Systems of Equations
Teacher's field guide
What This Standard Means
What Students Need to Do
- Students solve two equations with two variables using substitution or elimination. They graph the lines to estimate where they meet, then compare that estimate with the exact answer.
What Mastery Looks Like
- A student finds an ordered pair and checks it in both equations. They can estimate the same point on a graph and explain when parallel lines have no solution.
Common Misconceptions
- Students may check an answer in only one equation. They may lose a negative sign during elimination or treat a point read from a graph as exact.
How to Assess It
- Exit ticket: Solve y = 2x + 1 and x + y = 8 by substitution. Sketch both lines, estimate their intersection, and check your exact answer in both equations.
Lesson moves
Ways to Teach It
Lay two strings along y = x + 1 and y = -x + 5 on a taped coordinate grid, then mark their intersection.
Ask: Why does (2, 3) solve both y = x + 1 and y = -x + 5? Check each equation in writing.
Give partners the cards 2x + y = 7 and x - y = 2; race to solve the pair and verify the answer.
Compare taxi fares of $5 plus $2 per mile and $11 plus $1 per mile; graph both and find the break-even distance.
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Printable A-REI.6 Worksheet
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