Grade 6 Math · Patterns, Functions, and Algebra
Virginia SOL 6.PFA.3
Virginia SOL 6.PFA.3 is part of the Patterns, Functions, and Algebra strand in Grade 6 Math (Math). Under this Standards of Learning objective, students write and solve one-step linear equations in one variable, including contextual problems. Below is what 6.PFA.3 covers in plain language, the specific skills it is assessed on, the key concepts to review, and how to practice 6.PFA.3 for the Virginia SOL test.
What SOL 6.PFA.3 means
Write and solve one-step linear equations in one variable, including contextual problems.
Practice Grade 6 Math SOL questions
Free Grade 6 Math questions from official Virginia Department of Education released SOL tests — good practice while you work on 6.PFA.3 and the rest of the course. Pick an answer to check it instantly, or open “Show answer” to review.
1. Look at the table. Cost of T-shirts Al’s T-shirt Shop: $6.99 per T-shirt T-shirt Connection: $7.49 per T-shirt How much more would a person pay for 4 T-shirts at T-shirt Connection than at Al’s T-shirt Shop?
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Answer: B — $2.00
2. What is the quotient of 4.48 ÷ 70?
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Answer: J — 0.064
3. A bicycle shop has 8 bicycles that sell for $298.75 each. Which is closest to the total cost of all the bicycles?
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Answer: D — $2,400
4. Look at the table. James’s Weekend Activities Cleaning bedroom: between 2 and 3 hours Washing dishes: between 1 and 4 hours Doing homework: between 3 and 4 hours Cleaning bathroom: between 1 and 3 hours Folding clothes: between 1 and 2 hours Which estimate is closest to the total amount of time James spends on weekend activities?
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Answer: G — 6 hours
Skills you’ll practice for 6.PFA.3
- Identify and develop examples of algebraic vocabulary: equation, variable, expression, term, and coefficient.
- Represent and solve one-step linear equations in one variable using concrete manipulatives and pictorial representations.
- Apply properties of real numbers and properties of equality to solve a one-step equation in one variable. Coefficients are limited to integers and unit fractions; numeric terms are limited to integers.
- Confirm solutions to one-step linear equations in one variable using concrete manipulatives and pictorial representations.
- Write a one-step linear equation in one variable to represent a verbal situation, including contextual problems.
- Create a verbal situation in context given a one-step linear equation in one variable.
Key concepts covered by 6.PFA.3
- identify
- develop
- algebraic vocabulary
- equation
- variable
- expression
- term
- coefficient
- represent
- solve
- one-step linear equations
- one variable
- concrete manipulatives
- pictorial representations
- apply
- properties
- real numbers
- properties of equality
- one-step equation
- coefficients
- integers
- unit fractions
- numeric terms
- confirm
- solutions
- write
- one-step linear equation
- verbal situation
- contextual problems
- create
- context
How to study and practice SOL 6.PFA.3
Start with a quick diagnostic to see whether 6.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 6 Math standards in Patterns, Functions, and Algebra
- 6.PFA.1 — Use ratios to represent relationships between quantities, including contextual problems.
- 6.PFA.2 — Identify and represent proportional relationships between two quantities, including contextual problems.
- 6.PFA.4 — Represent a contextual situation using a linear inequality in one variable with symbols and graphs on a number line.
Frequently asked questions about SOL 6.PFA.3
What is Virginia SOL 6.PFA.3?
SOL 6.PFA.3 is a Grade 6 Math Standard of Learning in the Patterns, Functions, and Algebra strand. It expects students to write and solve one-step linear equations in one variable, including contextual problems.
What skills does SOL 6.PFA.3 cover?
SOL 6.PFA.3 is assessed on 6 skills: identify and develop examples of algebraic vocabulary: equation, variable, expression, term, and coefficient; represent and solve one-step linear equations in one variable using concrete manipulatives and pictorial representations; apply properties of real numbers and properties of equality to solve a one-step equation in one variable. Coefficients are limited to integers and unit fractions; numeric terms are limited to integers; confirm solutions to one-step linear equations in one variable using concrete manipulatives and pictorial representations; write a one-step linear equation in one variable to represent a verbal situation, including contextual problems; create a verbal situation in context given a one-step linear equation in one variable.
What strand of Grade 6 Math is SOL 6.PFA.3 in?
SOL 6.PFA.3 belongs to the Patterns, Functions, and Algebra reporting strand of the Grade 6 Math Virginia Standards of Learning.
How do I study and practice for SOL 6.PFA.3?
Start with a diagnostic to see whether 6.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.