Grade 8 Math · Patterns, Functions, and Algebra
Virginia SOL 8.PFA.5
Virginia SOL 8.PFA.5 is part of the Patterns, Functions, and Algebra strand in Grade 8 Math (Math). Under this Standards of Learning objective, students write and solve multistep linear inequalities in one variable, including contextual problems. Below is what 8.PFA.5 covers in plain language, the specific skills it is assessed on, the key concepts to review, and how to practice 8.PFA.5 for the Virginia SOL test.
What SOL 8.PFA.5 means
Write and solve multistep linear inequalities in one variable, including contextual problems.
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.5 and the rest of the course. Pick an answer to check it instantly, or open “Show answer” to review.
1. A flight engineer flies an average of 2,923 miles per week. Which is the best estimate of the number of miles she flies in 3 years (52 weeks per year)?
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Answer: H — 450,000
2. For large parties, a restaurant adds a 15% service charge to the bill. How much would be added to a bill of $638.40?
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Answer: C — $95.76
3. On a map, the distance between Milvale and Dracut is 1¼ inches. The map scale shows that ¼ inch represents 1 mile. What is the actual distance in miles between Milvale and Dracut?
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Answer: J — 5
4. Which of the following best represents (sqrt39)?
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Answer: B — A number between 6 and 7
Skills you’ll practice for 8.PFA.5
- Apply properties of real numbers and properties of inequality to solve multistep linear inequalities (up to four steps) in one variable with the variable on one or both sides of the inequality.
- Represent solutions to inequalities algebraically and graphically using a number line.
- Write multistep linear inequalities in one variable to represent a verbal situation, including those in context.
- Create a verbal situation in context given a multistep linear inequality in one variable.
- Solve problems in context that require the solution of a multistep linear inequality.
- Identify a numerical value(s) that is part of the solution set of a given inequality.
- Interpret algebraic solutions in context to linear inequalities in one variable.
Key concepts covered by 8.PFA.5
- multistep linear inequalities
- properties of real numbers
- properties of inequality
- inequality solving
- inequality solutions
- algebraic representation
- graphical representation
- number line
- verbal situation
- context
- multistep linear inequality
- contextual problems
- solution
- solution set
- inequality
- numerical value
- algebraic solutions
- linear inequalities
- interpretation
How to study and practice SOL 8.PFA.5
Start with a quick diagnostic to see whether 8.PFA.5 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.3 — Represent and solve problems using linear functions and analyze their key characteristics.
- 8.PFA.4 — Write and solve multistep linear equations in one variable, including contextual problems.
Frequently asked questions about SOL 8.PFA.5
What is Virginia SOL 8.PFA.5?
SOL 8.PFA.5 is a Grade 8 Math Standard of Learning in the Patterns, Functions, and Algebra strand. It expects students to write and solve multistep linear inequalities in one variable, including contextual problems.
What skills does SOL 8.PFA.5 cover?
SOL 8.PFA.5 is assessed on 7 skills: apply properties of real numbers and properties of inequality to solve multistep linear inequalities (up to four steps) in one variable with the variable on one or both sides of the inequality; represent solutions to inequalities algebraically and graphically using a number line; write multistep linear inequalities in one variable to represent a verbal situation, including those in context; create a verbal situation in context given a multistep linear inequality in one variable; solve problems in context that require the solution of a multistep linear inequality; identify a numerical value(s) that is part of the solution set of a given inequality; interpret algebraic solutions in context to linear inequalities in one variable.
What strand of Grade 8 Math is SOL 8.PFA.5 in?
SOL 8.PFA.5 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.5?
Start with a diagnostic to see whether 8.PFA.5 is already solid, then work the 7 skills above with guided notes, flashcards, and SOL-style practice questions. For official released items, see the Virginia SOL practice tests guide.