Virginia SOL 7.PFA.3.d
The Standard
Write a two-step linear equation in one variable to represent a verbal situation, including those in context.
Virginia Standards of Learning for Mathematics · The student will write and solve two-step linear equations in one variable, including problems in context, that require the solution of a two-step linear equation in one variable.
Teacher's field guide
What This Standard Means
What Students Need to Do
- Students turn a verbal situation into an equation with one unknown. They identify the fixed amount, repeated rate, and total, then place them correctly around the equals sign.
What Mastery Looks Like
- Students identify the unknown, fixed amount, rate, and total in a situation. They define a variable and write an equation such as 12 + 8c = 52.
Common Misconceptions
- Students may switch the fixed amount and the rate, or combine them incorrectly. They may reverse subtraction in phrases such as “five less than twice a number.” Some write an expression but leave out the equals sign and total.
How to Assess It
- Give this exit ticket: “A gym charges $12 to join and $8 per class. Mia paid $52. Define a variable and write an equation.”
Lesson moves
Ways to Teach It
Use cups and counters to model a fixed fee plus equal groups, then label the model and write its equation.
Prompt: How can you tell which number is the fixed amount and which number multiplies the unknown?
Match cards showing short scenarios, tape diagrams, and equations, then explain one match to a partner.
Use a sample phone bill with a base charge and per-gigabyte fee to write an equation for the total.
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Printable 7.PFA.3.d Worksheet
A ready-to-print activity worksheet aligned to 7.PFA.3.d, with an answer key for the teacher on its own page. No account needed.
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Related Standards
- 6.PFA.3.e
Write a one-step linear equation in one variable to represent a verbal situation, including those in context.
- 7.PFA.3.e
Create a verbal situation in context given a two-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.
- 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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