Grade 8 Math · Patterns, Functions, and Algebra

Virginia SOL 8.PFA.1

Virginia SOL 8.PFA.1 is part of the Patterns, Functions, and Algebra strand in Grade 8 Math (Math). Under this Standards of Learning objective, students represent, simplify, and generate equivalent algebraic expressions in one variable. Below is what 8.PFA.1 covers in plain language, the specific skills it is assessed on, the key concepts to review, and how to practice 8.PFA.1 for the Virginia SOL test.

What SOL 8.PFA.1 means

Represent, simplify, and generate equivalent algebraic expressions in one variable.

Practice Grade 8 Math SOL questions

Free Grade 8 Math questions from official Virginia Department of Education released SOL tests — good practice while you work on 8.PFA.1 and the rest of the course. Pick an answer to check it instantly, or open “Show answer” to review.

  1. 1. Martha’s grandfather is 63 years old, which is 6 years more than 3 times Martha’s age. How old is Martha?

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    Answer: G — 19

  2. 2. What is the solution to (x ÷ 5) = 12?

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    Answer: B — x = 60

  3. 3. Which of these is an inequality?

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    Answer: J — 3x ≥ x − 2

  4. 4. Which expression represents “twice the number of books divided by fifteen”?

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    Answer: B — 2n/15

→ Take the full free Grade 8 Math SOL practice test

Skills you’ll practice for 8.PFA.1

  • Represent algebraic expressions using concrete manipulatives or pictorial representations, including expressions that apply the distributive property.
  • Simplify and generate equivalent algebraic expressions in one variable by applying the order of operations and properties of real numbers.
  • Expand expressions using the distributive property or combine like terms to simplify.

Key concepts covered by 8.PFA.1

  • algebraic expressions
  • concrete manipulatives
  • pictorial representations
  • distributive property
  • simplify expressions
  • equivalent expressions
  • order of operations
  • properties of real numbers
  • combining like terms
  • expression simplification

How to study and practice SOL 8.PFA.1

Start with a quick diagnostic to see whether 8.PFA.1 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.

→ Take the free Grade 8 Math SOL practice test

  • 8.PFA.2Determine whether a given relation is a function and determine the domain and range of a function.
  • 8.PFA.3Represent and solve problems using linear functions and analyze their key characteristics.
  • 8.PFA.4Write and solve multistep linear equations in one variable, including contextual problems.
  • 8.PFA.5Write and solve multistep linear inequalities in one variable, including contextual problems.

Frequently asked questions about SOL 8.PFA.1

What is Virginia SOL 8.PFA.1?

SOL 8.PFA.1 is a Grade 8 Math Standard of Learning in the Patterns, Functions, and Algebra strand. It expects students to represent, simplify, and generate equivalent algebraic expressions in one variable.

What skills does SOL 8.PFA.1 cover?

SOL 8.PFA.1 is assessed on 3 skills: represent algebraic expressions using concrete manipulatives or pictorial representations, including expressions that apply the distributive property; simplify and generate equivalent algebraic expressions in one variable by applying the order of operations and properties of real numbers; expand expressions using the distributive property or combine like terms to simplify.

What strand of Grade 8 Math is SOL 8.PFA.1 in?

SOL 8.PFA.1 belongs to the Patterns, Functions, and Algebra reporting strand of the Grade 8 Math Virginia Standards of Learning.

How do I study and practice for SOL 8.PFA.1?

Start with a diagnostic to see whether 8.PFA.1 is already solid, then work the 3 skills above with guided notes, flashcards, and SOL-style practice questions. For official released items, see the Virginia SOL practice tests guide.