Grade 8 Math · Patterns, Functions, and Algebra
Virginia SOL 8.PFA.3
Virginia SOL 8.PFA.3 is part of the Patterns, Functions, and Algebra strand in Grade 8 Math (Math). Under this Standards of Learning objective, students represent and solve problems using linear functions and analyze their key characteristics. Below is what 8.PFA.3 covers in plain language, the specific skills it is assessed on, the key concepts to review, and how to practice 8.PFA.3 for the Virginia SOL test.
What SOL 8.PFA.3 means
Represent and solve problems using linear functions and analyze their key characteristics.
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.3 and the rest of the course. Pick an answer to check it instantly, or open “Show answer” to review.
1. Which of the following real numbers is not a rational number?
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Answer: F — (sqrt21)
2. Look at the set 2a, 3a, 4a. If a is a prime number, how many members of the set are also prime?
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Answer: A — 0
3. Which is equivalent to (13 - 33)?
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Answer: J — −14
4. Let (A = 2, 3, 5, 7, 11, 19, 23, 29). Which of the following is a true statement concerning A?
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Answer: B — All numbers in A are prime.
Skills you’ll practice for 8.PFA.3
- Determine how adding a constant (b) to the equation of a proportional relationship y = mx will translate the line on a graph.
- Describe key characteristics of linear functions including slope (m), y-intercept (b), and independent and dependent variables.
- Graph a linear function given a table, equation, or a situation in context.
- Create a table of values for a linear function given a graph, equation in the form of y = mx + b, or context.
- Write an equation of a linear function in the form y = mx + b given a graph, table, or a situation in context.
- Create a context for a linear function given a graph, table, or equation in the form y = mx + b.
Key concepts covered by 8.PFA.3
- proportional relationship
- translation
- graph
- constant (b)
- slope (m)
- linear functions
- y-intercept (b)
- independent variables
- dependent variables
- linear function
- table
- equation
- context
- table of values
- linear function equation
- y = mx + b
- linear function context
How to study and practice SOL 8.PFA.3
Start with a quick diagnostic to see whether 8.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 8 Math standards in Patterns, Functions, and Algebra
- 8.PFA.1 — Represent, simplify, and generate equivalent algebraic expressions in one variable.
- 8.PFA.2 — Determine whether a given relation is a function and determine the domain and range of a function.
- 8.PFA.4 — Write and solve multistep linear equations in one variable, including contextual problems.
- 8.PFA.5 — Write and solve multistep linear inequalities in one variable, including contextual problems.
Frequently asked questions about SOL 8.PFA.3
What is Virginia SOL 8.PFA.3?
SOL 8.PFA.3 is a Grade 8 Math Standard of Learning in the Patterns, Functions, and Algebra strand. It expects students to represent and solve problems using linear functions and analyze their key characteristics.
What skills does SOL 8.PFA.3 cover?
SOL 8.PFA.3 is assessed on 6 skills: determine how adding a constant (b) to the equation of a proportional relationship y = mx will translate the line on a graph; describe key characteristics of linear functions including slope (m), y-intercept (b), and independent and dependent variables; graph a linear function given a table, equation, or a situation in context; create a table of values for a linear function given a graph, equation in the form of y = mx + b, or context; write an equation of a linear function in the form y = mx + b given a graph, table, or a situation in context; create a context for a linear function given a graph, table, or equation in the form y = mx + b.
What strand of Grade 8 Math is SOL 8.PFA.3 in?
SOL 8.PFA.3 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.3?
Start with a diagnostic to see whether 8.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.