Algebra 1 · Functions
Virginia SOL A.F.1
Virginia SOL A.F.1 is part of the Functions strand in Algebra 1 (Math). Under this Standards of Learning objective, students investigate, analyze, and compare linear functions algebraically and graphically, and model linear relationships. Below is what A.F.1 covers in plain language, the specific skills it is assessed on, the key concepts to review, and how to practice A.F.1 for the Virginia SOL test.
What SOL A.F.1 means
Investigate, analyze, and compare linear functions algebraically and graphically, and model linear relationships.
Practice Algebra 1 SOL questions
Free Algebra 1 questions from official Virginia Department of Education released SOL tests — good practice while you work on A.F.1 and the rest of the course. Pick an answer to check it instantly, or open “Show answer” to review.
1. For objects made of the same material, weight varies directly with volume. If a volume of 20 cubic inches weighs 28 ounces, what is the constant of variation?
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Answer: B — ( 75 )
2. What is the range of (f(x)=x^2-3) when the domain is 1, 3, 5?
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Answer: H — −2, 6, 22
3. Which is a zero of (f(x)=x^2-x-12)?
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Answer: J — 4
4. In which set of ordered pairs is y not a function of x?
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Answer: D — (-6,37),(-6,10),(-5,26)
Skills you’ll practice for A.F.1
- Determine and identify the domain, range, zeros, slope, and intercepts of a linear function presented algebraically or graphically.
- Investigate and explain how transformations to the parent function y = x affect the rate of change (slope) and the y-intercept of a linear function.
- Write equivalent algebraic forms of linear functions, including slope-intercept, standard, and point-slope forms, and analyze the information revealed by each form.
- Write the equation of a linear function to model a linear relationship between two quantities, including contextual situations.
- Write the equation of a line parallel or perpendicular to a given line through a given point.
- Graph a linear function in two variables with and without technology, including contextual situations.
- For any value x in the domain of f, determine f(x), and determine x given any value f(x) in the range of f, given an algebraic or graphical representation of a linear function.
- Compare and contrast the characteristics of linear functions represented algebraically, graphically, in tables, and in contextual situations.
Key concepts covered by A.F.1
- linear function characteristics
- domain
- range
- zeros
- slope
- intercepts
- linear function transformations
- parent function
- rate of change
- y-intercept
- linear function forms
- slope-intercept form
- standard form
- point-slope form
- algebraic equivalence
- linear function modeling
- contextual relationships
- equation writing
- parallel lines
- perpendicular lines
- line equations
- given point
- graph linear functions
- two variables
- technology use
- contextual graphs
- evaluate linear functions
- algebraic representation
- graphical representation
- compare linear functions
- tabular representation
- contextual comparison
How to study and practice SOL A.F.1
Start with a quick diagnostic to see whether A.F.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 Algebra 1 standards in Functions
- A.F.2 — Investigate, analyze, and compare characteristics of functions, including quadratic and exponential functions, and model relationships.
Frequently asked questions about SOL A.F.1
What is Virginia SOL A.F.1?
SOL A.F.1 is a Algebra 1 Standard of Learning in the Functions strand. It expects students to investigate, analyze, and compare linear functions algebraically and graphically, and model linear relationships.
What skills does SOL A.F.1 cover?
SOL A.F.1 is assessed on 8 skills: determine and identify the domain, range, zeros, slope, and intercepts of a linear function presented algebraically or graphically; investigate and explain how transformations to the parent function y = x affect the rate of change (slope) and the y-intercept of a linear function; write equivalent algebraic forms of linear functions, including slope-intercept, standard, and point-slope forms, and analyze the information revealed by each form; write the equation of a linear function to model a linear relationship between two quantities, including contextual situations; write the equation of a line parallel or perpendicular to a given line through a given point; graph a linear function in two variables with and without technology, including contextual situations; for any value x in the domain of f, determine f(x), and determine x given any value f(x) in the range of f, given an algebraic or graphical representation of a linear function; compare and contrast the characteristics of linear functions represented algebraically, graphically, in tables, and in contextual situations.
What strand of Algebra 1 is SOL A.F.1 in?
SOL A.F.1 belongs to the Functions reporting strand of the Algebra 1 Virginia Standards of Learning.
How do I study and practice for SOL A.F.1?
Start with a diagnostic to see whether A.F.1 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.