Grade 7 Math · Patterns, Functions, and Algebra
Virginia SOL 7.PFA.4
Virginia SOL 7.PFA.4 is part of the Patterns, Functions, and Algebra strand in Grade 7 Math (Math). Under this Standards of Learning objective, students write and solve one- and two-step linear inequalities in one variable, including contextual problems. Below is what 7.PFA.4 covers in plain language, the specific skills it is assessed on, the key concepts to review, and how to practice 7.PFA.4 for the Virginia SOL test.
What SOL 7.PFA.4 means
Write and solve one- and two-step linear inequalities 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.4 and the rest of the course. Pick an answer to check it instantly, or open “Show answer” to review.
1. Daphne wrote the fractional part of her quiz scores as: 3⁄4, 5⁄7, 11⁄9, and 9⁄5. Which list shows these values ordered from least to greatest?
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Answer: B — 3⁄4, 5⁄7, 11⁄9, 9⁄5
2. Which number sentence illustrates the commutative property of multiplication?
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Answer: A — 14 + (13 × 7) = 14 + (7 × 13)
3. If the number sentence y × 1 = y is true, then y is the —
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Answer: C — multiplicative identity
4. ( (10 + 30 + 5)/(2 + 7 − 2) = )
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Answer: B — 4
Skills you’ll practice for 7.PFA.4
- Apply properties of real numbers and inequality properties to solve one- and two-step inequalities in one variable.
- Investigate and explain how multiplying or dividing by a rational number less than zero affects the solution set of a linear inequality.
- Represent solutions to one- or two-step linear inequalities algebraically and graphically using a number line.
- Write one- or two-step linear inequalities in one variable to represent a verbal situation, including contextual problems.
- Create a verbal situation in context given a one- or two-step linear inequality in one variable.
- Solve problems in context that require the solution of a one- or two-step inequality.
- Identify numerical values that are part of the solution set of a given one- or two-step linear inequality in one variable.
- Describe differences and similarities between solving linear inequalities and linear equations in one variable.
Key concepts covered by 7.PFA.4
- linear inequalities
- properties of real numbers
- inequality properties
- solution set
- rational number
- multiplication
- division
- algebraic representation
- graphical representation
- number line
- verbal situation
- contextual problems
- context
- solution
- numerical values
- linear equations
- differences
- similarities
How to study and practice SOL 7.PFA.4
Start with a quick diagnostic to see whether 7.PFA.4 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.3 — Write and solve two-step linear equations in one variable, including contextual problems.
Frequently asked questions about SOL 7.PFA.4
What is Virginia SOL 7.PFA.4?
SOL 7.PFA.4 is a Grade 7 Math Standard of Learning in the Patterns, Functions, and Algebra strand. It expects students to write and solve one- and two-step linear inequalities in one variable, including contextual problems.
What skills does SOL 7.PFA.4 cover?
SOL 7.PFA.4 is assessed on 8 skills: apply properties of real numbers and inequality properties to solve one- and two-step inequalities in one variable; investigate and explain how multiplying or dividing by a rational number less than zero affects the solution set of a linear inequality; represent solutions to one- or two-step linear inequalities algebraically and graphically using a number line; write one- or two-step linear inequalities in one variable to represent a verbal situation, including contextual problems; create a verbal situation in context given a one- or two-step linear inequality in one variable; solve problems in context that require the solution of a one- or two-step inequality; identify numerical values that are part of the solution set of a given one- or two-step linear inequality in one variable; describe differences and similarities between solving linear inequalities and linear equations in one variable.
What strand of Grade 7 Math is SOL 7.PFA.4 in?
SOL 7.PFA.4 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.4?
Start with a diagnostic to see whether 7.PFA.4 is already solid, then work the 8 skills above with guided notes, flashcards, and SOL-style practice questions. For official released items, see the Virginia SOL practice tests guide.