Florida B.E.S.T. MA.912.AR.9.1
The Standard
Given a mathematical or real-world context, write and solve a system of two-variable linear equations algebraically or graphically.
Florida B.E.S.T. Standards for Mathematics
Teacher's field guide
What This Standard Means
What Students Need to Do
- Students identify two unknown quantities and write one linear equation for each relationship in a situation. They solve using substitution, elimination, or graphing, then interpret the intersection in context.
What Mastery Looks Like
- A student chooses an efficient method, finds an ordered pair, and checks it in both equations. The student labels both values and explains whether the solution makes sense in the situation.
Common Misconceptions
- Students may combine unlike terms or forget to multiply every term when preparing equations for elimination. They may switch coordinate meanings, report only one coordinate, or accept a pair that satisfies only one equation.
How to Assess It
- Exit ticket: A club sold 20 tickets for $130. Adult tickets cost $8 and student tickets cost $5. Write and solve a system, then check your answer.
Lesson moves
Ways to Teach It
Use algebra tiles on two balance mats to model x+y=7 and x-y=1, then combine the mats to eliminate y.
Have pairs solve the same system by graphing and elimination, then defend which method is faster and why.
Run a card sort matching equation pairs, graphs, ordered-pair solutions, and short contexts; students justify each completed set.
Compare two phone plans with a table, equations, and graph, then find the usage where both plans cost the same.
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Printable MA.912.AR.9.1 Worksheet
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Related Standards
- MA.912.AR.9.9
Given a mathematical or real-world context, solve a system of three-variable linear equations algebraically.
- MA.912.AR.9.2
Given a mathematical or real-world context, solve a system consisting of a two-variable linear equation and a non-linear equation algebraically or graphically.
- MA.8.AR.4.3
Given a mathematical or real-world context, solve systems of two linear equations by graphing.
- MA.912.AR.9.3
Given a mathematical or real-world context, solve a system consisting of two-variable linear or non-linear equations algebraically or graphically.
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