Florida B.E.S.T. MA.8.AR.2.1
The Standard
Solve multi-step linear equations in one variable, with rational number coefficients. Include equations with variables on both sides.
Florida B.E.S.T. Standards for Mathematics
Teacher's field guide
What This Standard Means
What Students Need to Do
- Students use distribution, combine like terms, and apply inverse operations to isolate the unknown. They work with fractions and decimals, including cases where the unknown appears on both sides.
What Mastery Looks Like
- Students choose efficient steps, keep equations balanced, and reach the correct value. They clearly show their work and verify the solution by substituting it into the original equation.
Common Misconceptions
- Students may distribute to only the first term inside parentheses or lose a negative sign. They may change one side without making the same change to the other, especially when clearing fractions.
How to Assess It
- Give this exit ticket: Solve 3/4(8x - 4) + 2 = 2x + 11. Show each step and verify the answer by substitution.
Lesson moves
Ways to Teach It
Use algebra tiles on a balance mat to model 3(x + 2) = x + 10, then remove equal pieces from both sides.
Show two solutions to 5(x - 2) = 2x + 7, and ask students to identify and explain the first incorrect step.
Run an equation relay with cards requiring distribution, fraction clearing, combining like terms, and checking by substitution.
Compare two phone plans with different monthly rates and fees, then write and solve an equation to find when their costs match.
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Printable MA.8.AR.2.1 Worksheet
A ready-to-print activity worksheet aligned to MA.8.AR.2.1, with an answer key for the teacher on its own page. No account needed.
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Related Standards
- MA.912.AR.2.1
Given a real-world context, write and solve one-variable multi-step linear equations.
- MA.7.AR.2.2
Write and solve two-step equations in one variable within a mathematical or real-world context, where all terms are rational numbers.
- MA.912.AR.8.1
Write and solve one-variable rational equations. Interpret solutions as viable in terms of the context and identify any extraneous solutions.
- MA.8.AR.2
Solve multi-step one-variable equations and inequalities.
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