Virginia SOL 8.PFA.5.d
The Standard
Create a verbal situation in context given a multistep linear inequality in one variable.
Virginia Standards of Learning for Mathematics · The student will write and solve multistep linear inequalities in one variable, including problems in context that require the solution of a multistep linear inequality in one variable.
Teacher's field guide
What This Standard Means
What Students Need to Do
- Students turn each part of a multistep inequality into details in a realistic story. They define the variable and use comparison words that match the inequality symbol.
What Mastery Looks Like
- Students create a realistic story in which each number, operation, variable term, and comparison has a clear meaning. Their wording correctly shows whether the boundary value is included, and they can explain what a solution means in context.
Common Misconceptions
- Students may write an equation instead of showing that one amount is greater or less than another. They may switch fixed and variable amounts, ignore one side, or use “less than” when the boundary should be included.
How to Assess It
- Give students 18 + 6g ≤ 9g. Ask them to write a realistic situation, define g, and explain what “no more than” means in their situation.
Lesson moves
Ways to Teach It
Give pairs cards labeled fee, per-item cost, quantity, and limit, then have them arrange the cards to model 12 + 4x ≤ 7x.
Ask, “How does changing ≤ to < change the story?” Have students revise a ticket-budget scenario and share the changed wording.
Play Scenario Swap: students write a context for an inequality, trade papers, and reconstruct the inequality to check whether every detail matches.
Show two phone plans, $20 plus $5 per gigabyte and $8 per gigabyte, and ask when the first costs no more.
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Related Standards
- 8.PFA.4.d
Create a verbal situation in context given a multistep linear equation in one variable.
- 7.PFA.4.e
Create a verbal situation in context given a one or two-step linear inequality in one variable.
- 7.PFA.3.e
Create a verbal situation in context given a two-step linear equation in one variable.
- 6.PFA.3.f
Create a verbal situation in context given a one-step linear equation in one variable.
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