Grade 7 Math · Patterns, Functions, and Algebra
Virginia SOL 7.PFA.1
Virginia SOL 7.PFA.1 is part of the Patterns, Functions, and Algebra strand in Grade 7 Math (Math). Under this Standards of Learning objective, students investigate and analyze proportional relationships using verbal descriptions, tables, equations, and graphs. Below is what 7.PFA.1 covers in plain language, the specific skills it is assessed on, the key concepts to review, and how to practice 7.PFA.1 for the Virginia SOL test.
What SOL 7.PFA.1 means
Investigate and analyze proportional relationships using verbal descriptions, tables, equations, and graphs.
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.1 and the rest of the course. Pick an answer to check it instantly, or open “Show answer” to review.
1. The statement 6z > 36 is an example of which?
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Answer: H — An inequality
2. A large box contains 11 smaller boxes of raisins and costs $2.75 total. Each small box costs the same amount. Which equation could be used to find d, the cost of one small box?
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Answer: A — 11d = 2.75
3. A graph shows a straight line through the origin where profit increases by 2 units for every 1 unit of time. Which equation represents the relationship between time t and profit P?
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Answer: C — P = 2t
4. Which is an expression?
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Answer: F — 5x + 3
Skills you’ll practice for 7.PFA.1
- Determine the slope (rate of change) in a proportional relationship given a table, graph, or contextual situation and write an equation in y = mx form.
- Identify and describe a line with a slope that is positive, negative, or zero given a graph.
- Graph a line representing a proportional relationship given an ordered pair and slope.
- Graph a line representing a proportional relationship given the equation y = mx.
- Make connections between representations of a proportional relationship using context, tables, equations, and graphs.
Key concepts covered by 7.PFA.1
- proportional relationship
- slope
- rate of change
- table
- graph
- equation
- y = mx
- positive slope
- negative slope
- zero slope
- ordered pair
- representations
- context
- tables
- equations
- graphs
How to study and practice SOL 7.PFA.1
Start with a quick diagnostic to see whether 7.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.
Related Grade 7 Math standards in Patterns, Functions, and Algebra
- 7.PFA.2 — Simplify numerical and algebraic expressions and evaluate algebraic expressions for given values.
- 7.PFA.3 — Write and solve two-step linear equations in one variable, including contextual problems.
- 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.1
What is Virginia SOL 7.PFA.1?
SOL 7.PFA.1 is a Grade 7 Math Standard of Learning in the Patterns, Functions, and Algebra strand. It expects students to investigate and analyze proportional relationships using verbal descriptions, tables, equations, and graphs.
What skills does SOL 7.PFA.1 cover?
SOL 7.PFA.1 is assessed on 5 skills: determine the slope (rate of change) in a proportional relationship given a table, graph, or contextual situation and write an equation in y = mx form; identify and describe a line with a slope that is positive, negative, or zero given a graph; graph a line representing a proportional relationship given an ordered pair and slope; graph a line representing a proportional relationship given the equation y = mx; make connections between representations of a proportional relationship using context, tables, equations, and graphs.
What strand of Grade 7 Math is SOL 7.PFA.1 in?
SOL 7.PFA.1 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.1?
Start with a diagnostic to see whether 7.PFA.1 is already solid, then work the 5 skills above with guided notes, flashcards, and SOL-style practice questions. For official released items, see the Virginia SOL practice tests guide.