Florida B.E.S.T. MA.8.AR.2.2
The Standard
Solve two-step linear inequalities in one variable and represent solutions algebraically and graphically.
Florida B.E.S.T. Standards for Mathematics
Teacher's field guide
What This Standard Means
What Students Need to Do
- Students isolate the variable by undoing operations in reverse order. They reverse the inequality sign when dividing or multiplying by a negative, then show the solution with symbols and a number line.
What Mastery Looks Like
- A student can solve 5 - 2x > 13 and get x < -4. They use the correct endpoint, shade left, and verify the result with a test value.
Common Misconceptions
- Students may forget to reverse the inequality sign after multiplying or dividing by a negative number. They may use a closed point for < or >, or shade the wrong direction on the number line.
How to Assess It
- Give students -3x + 5 ≤ 17. Ask them to show each step, write the solution, graph it, and check one value.
Lesson moves
Ways to Teach It
Build 2x + 3 < 9 with algebra tiles on a balance mat, remove three, then split both sides into two groups.
Have students explain why -2x > 8 becomes x < -4, using two test values as evidence.
Play inequality match: students pair equation cards, solution cards, and number line cards, then justify one match to a partner.
A freezer starts at 18°C and cools 3°C per hour; students find when it reaches 6°C or lower.
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Printable MA.8.AR.2.2 Worksheet
A ready-to-print activity worksheet aligned to MA.8.AR.2.2, with an answer key for the teacher on its own page. No account needed.
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Related Standards
- MA.912.AR.9.4
Graph the solution set of a system of two-variable linear inequalities.
- MA.7.AR.2.1
Write and solve one-step inequalities in one variable within a mathematical context and represent solutions algebraically or graphically.
- MA.912.AR.2.6
Given a mathematical or real-world context, write and solve one-variable linear inequalities, including compound inequalities. Represent solutions algebraically...
- MA.8.AR.2
Solve multi-step one-variable equations and inequalities.
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