Grade 7 Math · Patterns, Functions, and Algebra
Virginia SOL 7.PFA.3
Virginia SOL 7.PFA.3 is part of the Patterns, Functions, and Algebra strand in Grade 7 Math (Math). Under this Standards of Learning objective, students write and solve two-step linear equations in one variable, including contextual problems. Below is what 7.PFA.3 covers in plain language, the specific skills it is assessed on, the key concepts to review, and how to practice 7.PFA.3 for the Virginia SOL test.
What SOL 7.PFA.3 means
Write and solve two-step linear equations in one variable, including contextual problems.
Practice Grade 7 Math SOL questions
Free Grade 7 Math questions from official Virginia Department of Education released SOL tests — good practice while you work on 7.PFA.3 and the rest of the course. Pick an answer to check it instantly, or open “Show answer” to review.
1. A tree casts a shadow 9 meters long. At the same time, a building 54 meters tall casts a shadow 21 meters long. To the nearest meter, what is the height of the tree?
Show answer
Answer: C — 23 m
2. Chris put $1,500 into a savings account at an annual interest rate of 5%. If no money is deposited or withdrawn, how much interest will Chris earn in the first year?
Show answer
Answer: C — $75
3. A store advertisement reads: “Going Out of Business Sale. Everything is 3⁄8 off.” What percent is 3⁄8?
Show answer
Answer: D — 62.5%
4. When simplifying the expression 8 − 4 + 2 × 4 + 3 − 5, which operation should be performed first?
Show answer
Answer: B — 2 × 4
Skills you’ll practice for 7.PFA.3
- Represent and solve two-step linear equations in one variable using concrete materials and pictorial representations.
- Apply properties of real numbers and equality to solve two-step linear equations in one variable.
- Confirm algebraic solutions to linear equations in one variable.
- Write a two-step linear equation in one variable to represent a verbal situation, including contextual problems.
- Create a verbal situation in context given a two-step linear equation in one variable.
- Solve problems in context that require the solution of a two-step linear equation.
Key concepts covered by 7.PFA.3
- two-step linear equations
- concrete materials
- pictorial representations
- properties of real numbers
- properties of equality
- linear equations
- algebraic solutions
- confirmation
- verbal situation
- contextual problems
- context
- solution
How to study and practice SOL 7.PFA.3
Start with a quick diagnostic to see whether 7.PFA.3 is already solid, then work each skill above with guided notes, flashcards, and SOL-style practice questions. For official released items, see our Virginia SOL practice tests guide and how to study for the SOL test.
Related Grade 7 Math standards in Patterns, Functions, and Algebra
- 7.PFA.1 — Investigate and analyze proportional relationships using verbal descriptions, tables, equations, and graphs.
- 7.PFA.2 — Simplify numerical and algebraic expressions and evaluate algebraic expressions for given values.
- 7.PFA.4 — Write and solve one- and two-step linear inequalities in one variable, including contextual problems.
Frequently asked questions about SOL 7.PFA.3
What is Virginia SOL 7.PFA.3?
SOL 7.PFA.3 is a Grade 7 Math Standard of Learning in the Patterns, Functions, and Algebra strand. It expects students to write and solve two-step linear equations in one variable, including contextual problems.
What skills does SOL 7.PFA.3 cover?
SOL 7.PFA.3 is assessed on 6 skills: represent and solve two-step linear equations in one variable using concrete materials and pictorial representations; apply properties of real numbers and equality to solve two-step linear equations in one variable; confirm algebraic solutions to linear equations in one variable; write a two-step linear equation in one variable to represent a verbal situation, including contextual problems; create a verbal situation in context given a two-step linear equation in one variable; solve problems in context that require the solution of a two-step linear equation.
What strand of Grade 7 Math is SOL 7.PFA.3 in?
SOL 7.PFA.3 belongs to the Patterns, Functions, and Algebra reporting strand of the Grade 7 Math Virginia Standards of Learning.
How do I study and practice for SOL 7.PFA.3?
Start with a diagnostic to see whether 7.PFA.3 is already solid, then work the 6 skills above with guided notes, flashcards, and SOL-style practice questions. For official released items, see the Virginia SOL practice tests guide.