Virginia SOL 7.PFA.4.g
The Standard
Identify a numerical value(s) that is part of the solution set of as given 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 substitute given numbers for the variable and decide whether each result is true. They identify all values that work and include or exclude boundary values correctly.
What Mastery Looks Like
- Students select every candidate that makes the inequality true, including boundary values when allowed. They substitute integers, fractions, or decimals accurately and justify each choice with a true statement.
Common Misconceptions
- Students may look for one answer instead of recognizing that many numbers can work. They may confuse < with ≤, mishandle negative substitutions, or reverse the inequality sign while simply evaluating.
How to Assess It
- Give: For 3x - 5 ≤ 10, circle every solution from -2, 4, 5, and 6. Show one substitution that proves your choice.
Lesson moves
Ways to Teach It
Give pairs inequality cards and number cards, then have students substitute and sort each number onto true and false mats.
Ask students to explain why 5 works for x ≤ 5 but does not work for x < 5.
Play Solution Set Bingo by calling inequalities while students test the numbers printed on their boards.
Use 12 + 3x ≤ 30 for a ticket budget, then test which numbers of tickets stay within the budget.
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Printable 7.PFA.4.g Worksheet
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Related Standards
- 8.PFA.5.e
Solve problems in context that require the solution of a multistep linear inequality in one variable.
- 6.PFA.4.e
Identify a numerical value(s) that is part of the solution set of a given inequality in one variable.
- 8.PFA.5.f
Identify a numerical value(s) that is part of the solution set of a given inequality.
- 7.PFA.4.f
Solve problems in context that require the solution of a one- or two-step inequality.
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