Grade 6 Math · Patterns, Functions, and Algebra

Virginia SOL 6.PFA.4

Virginia SOL 6.PFA.4 is part of the Patterns, Functions, and Algebra strand in Grade 6 Math (Math). Under this Standards of Learning objective, students represent a contextual situation using a linear inequality in one variable with symbols and graphs on a number line. Below is what 6.PFA.4 covers in plain language, the specific skills it is assessed on, the key concepts to review, and how to practice 6.PFA.4 for the Virginia SOL test.

Practice 6.PFA.4 All Grade 6 Math standards

What SOL 6.PFA.4 means

Represent a contextual situation using a linear inequality in one variable with symbols and graphs on a number line.

Practice Grade 6 Math SOL questions

Free Grade 6 Math questions from official Virginia Department of Education released SOL tests — good practice while you work on 6.PFA.4 and the rest of the course. Pick an answer to check it instantly, or open “Show answer” to review.

1. A farmer has 6 cartons of specialty eggs for sale. Each carton contains 12 eggs. If 2/3 of the eggs are brown eggs, what is the total number of brown eggs he has for sale?
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Answer: C — 48
2. A carpet cleaning company charged $99.99 to clean 3 rooms in a house and $29.99 for each extra room. What is the total amount of money the company would charge to clean 5 rooms in the house?
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Answer: G — $159.97
3. Look at the table. Distance Frank Walked Monday: 3/4 mile Tuesday: 1 1/2 miles Wednesday: 2/3 mile According to the table, what is the total distance Frank walked for the three days?
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Answer: D — 2 11/12 miles
4. Seth bought a bag of pencils. 1/2 of the pencils are red. 1/6 of the pencils are blue. What fractional part of the bag of pencils is either red or blue?
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Answer: H — 2/3

→ Take the full free Grade 6 Math SOL practice test

Skills you’ll practice for 6.PFA.4

Given the graph of a linear inequality in one variable on a number line, represent the inequality in two equivalent ways using symbols (<, >, ≤, ≥).
Write a linear inequality in one variable to represent a given constraint or condition in context or given a graph on a number line.
Given a linear inequality in one variable, create a corresponding contextual situation or create a number line graph.
Use substitution or a number line graph to justify whether a given number in a specified set makes a linear inequality in one variable true.
Identify a numerical value(s) that is part of the solution set of a given inequality in one variable.

Key concepts covered by 6.PFA.4

represent
graph
linear inequality
one variable
number line
equivalent ways
symbols
write
constraint
condition
context
create
contextual situation
number line graph
use
substitution
justify
number
identify
numerical value
solution set
inequality

How to study and practice SOL 6.PFA.4

Start with a quick diagnostic to see whether 6.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.

→ Take the free Grade 6 Math SOL practice test

6.PFA.1 — Use ratios to represent relationships between quantities, including contextual problems.
6.PFA.2 — Identify and represent proportional relationships between two quantities, including contextual problems.
6.PFA.3 — Write and solve one-step linear equations in one variable, including contextual problems.

Frequently asked questions about SOL 6.PFA.4

What is Virginia SOL 6.PFA.4?

SOL 6.PFA.4 is a Grade 6 Math Standard of Learning in the Patterns, Functions, and Algebra strand. It expects students to represent a contextual situation using a linear inequality in one variable with symbols and graphs on a number line.

What skills does SOL 6.PFA.4 cover?

SOL 6.PFA.4 is assessed on 5 skills: given the graph of a linear inequality in one variable on a number line, represent the inequality in two equivalent ways using symbols (<, >, ≤, ≥); write a linear inequality in one variable to represent a given constraint or condition in context or given a graph on a number line; given a linear inequality in one variable, create a corresponding contextual situation or create a number line graph; use substitution or a number line graph to justify whether a given number in a specified set makes a linear inequality in one variable true; identify a numerical value(s) that is part of the solution set of a given inequality in one variable.

What strand of Grade 6 Math is SOL 6.PFA.4 in?

SOL 6.PFA.4 belongs to the Patterns, Functions, and Algebra reporting strand of the Grade 6 Math Virginia Standards of Learning.

How do I study and practice for SOL 6.PFA.4?

Start with a diagnostic to see whether 6.PFA.4 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.