Virginia SOL 7.PFA.4.e
The Standard
Create a verbal situation in context given a one or two-step linear inequality in one variable.
Virginia Standards of Learning for Mathematics · The student will write and solve one- and two-step linear inequalities in one variable, including problems in context, that require the solution of a one- and two-step linear inequality in one variable.
Teacher's field guide
What This Standard Means
What Students Need to Do
- Students turn a symbolic inequality into a believable word problem. They define the variable and make each number, operation, and comparison sign match the situation.
What Mastery Looks Like
- A student can write a clear story for an inequality such as 3x + 5 ≤ 26. The story correctly identifies the variable, rate, fixed amount, and limit. The student can explain whether the boundary value is included.
Common Misconceptions
- Students often swap “at least” and “at most,” so the story points in the wrong direction. They may treat the constant as a repeated amount or leave it out. Some use values that make no sense, such as a negative number of people.
How to Assess It
- Exit ticket: For 4x + 7 ≥ 31, write a two-sentence real-life situation and define x. Underline the words that show ≥, then label what 4, 7, and 31 represent.
Lesson moves
Ways to Teach It
Give pairs cups, counters, and 3x + 2 ≤ 14; have them model it, then write a matching purchase story.
Ask students, “Which phrase in your story shows the inequality sign, and what does each number represent?” Then have partners suggest revisions.
Play Story Match: Teams pair inequality cards with scenario cards, reject mismatches, then write a new scenario for one unmatched card.
Show a menu with a $5 fee and $3 items; students write a spending-limit story matching 5 + 3x ≤ 20.
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Related Standards
- 8.PFA.5.d
Create a verbal situation in context given a multistep 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.
- 7.PFA.4.d
Write one- or two-step linear inequalities in one variable to represent a verbal situation, including those in context.
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