Virginia SOL 8.PFA.4.d
The Standard
Create a verbal situation in context given a multistep linear equation in one variable.
Virginia Standards of Learning for Mathematics · The student will write and solve multistep linear equations in one variable, including problems in context that require the solution of a multistep linear equation in one variable.
Teacher's field guide
What This Standard Means
What Students Need to Do
- Students interpret each part of a multistep equation and invent a realistic situation that matches it. They define the variable and connect coefficients, constants, operations, and equality to details in the situation.
What Mastery Looks Like
- Given an equation such as 3(x + 4) + 5 = 29, a student writes a believable situation with a clearly defined unknown. Every number, operation, and side of the equation matches a detail in the situation.
Common Misconceptions
- Students may treat a coefficient as an added amount or ignore parentheses when describing operations. They may change what the variable represents midway through the story. Some create situations with mismatched units or values that do not make sense in context.
How to Assess It
- Give students 4(x + 3) - 2 = 30. Ask them to write a matching situation, define x, and explain what each number represents.
Lesson moves
Ways to Teach It
Give groups equation, operation, and story-detail cards, then have them arrange matching sets and write a complete situation.
Ask students to explain how 5(x + 2) - 3 = 42 could represent tickets, costs, or distances.
Play Equation Story Swap: students write situations for equation cards, trade papers, and check whether every detail matches.
Use a phone plan with a setup fee, monthly charge, and discount to build a situation for a provided equation.
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Printable 8.PFA.4.d Worksheet
A ready-to-print activity worksheet aligned to 8.PFA.4.d, with an answer key for the teacher on its own page. No account needed.
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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.
- 8.PFA.4.c
Write a multistep linear equation in one variable to represent a verbal situation, including those in context.
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