Virginia SOL 8.PFA.4.c
The Standard
Write a multistep 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 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 identify the unknown quantity and assign it a variable. They translate fixed amounts, rates, and adjustments into an equation that matches the situation.
What Mastery Looks Like
- Students define the variable and write an equation that matches every quantity and operation in the situation. They can explain what each coefficient and constant represents.
Common Misconceptions
- Students may treat every number as a separate term or multiply quantities that should be added. They may reverse subtraction, omit grouping symbols, or write an expression without an equal sign.
How to Assess It
- Exit ticket: “A bike rental costs $18 plus $7 per hour. A $5 coupon makes the total $48. Define a variable and write an equation. Do not solve.”
Lesson moves
Ways to Teach It
Use balance mats, cups, and counters to model a fee situation, then replace each object group with an algebraic term.
Display two equations for the same ticket-sale story and ask students to defend which equation preserves the stated relationships.
Run an equation-match relay where teams pair situation cards with variable definitions and equation cards, then correct mismatches.
Use a phone bill with a monthly fee, per-gigabyte charge, and credit; students write an equation for an unknown usage amount.
Free download
Printable 8.PFA.4.c Worksheet
A ready-to-print activity worksheet aligned to 8.PFA.4.c, with an answer key for the teacher on its own page. No account needed.
PDF, US Letter, prints cleanly in black and white.
Download the worksheetKeep exploring
Related Standards
- 7.PFA.3.d
Write a two-step linear equation in one variable to represent a verbal situation, including those in context.
- 8.PFA.4.d
Create a verbal situation in context given a multistep linear equation in one variable.
- 6.PFA.3.e
Write a one-step linear equation in one variable to represent a verbal situation, including those in context.
- 8.PFA.5.c
Write multistep linear inequalities in one variable to represent a verbal situation, including those in context.
Turn this exact standard into a lesson
Grade, subject, topic, and the complete standard are prefilled. Create one free, no account needed.