Algebra 1 · Expressions and Operations
Virginia SOL A.EO.2
Virginia SOL A.EO.2 is part of the Expressions and Operations strand in Algebra 1 (Math). Under this Standards of Learning objective, students perform operations on and factor polynomial expressions in one variable. Below is what A.EO.2 covers in plain language, the specific skills it is assessed on, the key concepts to review, and how to practice A.EO.2 for the Virginia SOL test.
What SOL A.EO.2 means
Perform operations on and factor polynomial expressions in one variable.
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.EO.2 and the rest of the course. Pick an answer to check it instantly, or open “Show answer” to review.
1. Which is the solution to the system of equations? x - y = 7 2x + y = -1
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Answer: D — (x=2, y=-5)
2. A line is shown that passes through the point (0,5) and is horizontal, remaining at y = 5 for all x-values. Which is most likely the equation of the line?
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Answer: H — (y=5)
3. A line passes through the y-intercept (0,2) and decreases so that when x increases by 2, y decreases by 1. Which could be an equation for the line?
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Answer: A — (y=-(1)/(2)x+2)
4. Which is an equation for the line with slope ( (1)/(2) ) and y-intercept of 3?
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Answer: H — (y=(1)/(2)x+3)
Skills you’ll practice for A.EO.2
- Determine sums and differences of polynomial expressions in one variable using strategies like concrete objects, pictorial models, and symbolic models.
- Determine the product of polynomial expressions in one variable using the distributive property, area models, and concrete/pictorial/symbolic strategies.
- Factor completely first- and second-degree polynomials in one variable with integral coefficients, including factoring out the greatest common factor (GCF).
- Determine the quotient of polynomials using a monomial, binomial, or completely factored divisor.
- Represent and demonstrate equality of quadratic expressions in different forms (concrete, verbal, symbolic, graphical).
Key concepts covered by A.EO.2
- polynomial addition
- polynomial subtraction
- concrete models
- pictorial models
- symbolic models
- polynomial multiplication
- distributive property
- area models
- factoring polynomials
- greatest common factor
- first-degree polynomials
- second-degree polynomials
- integral coefficients
- polynomial division
- monomial divisor
- binomial divisor
- factored divisor
- quadratic expressions
- equality representation
- concrete forms
- symbolic forms
- graphical forms
How to study and practice SOL A.EO.2
Start with a quick diagnostic to see whether A.EO.2 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 Expressions and Operations
Frequently asked questions about SOL A.EO.2
What is Virginia SOL A.EO.2?
SOL A.EO.2 is a Algebra 1 Standard of Learning in the Expressions and Operations strand. It expects students to perform operations on and factor polynomial expressions in one variable.
What skills does SOL A.EO.2 cover?
SOL A.EO.2 is assessed on 5 skills: determine sums and differences of polynomial expressions in one variable using strategies like concrete objects, pictorial models, and symbolic models; determine the product of polynomial expressions in one variable using the distributive property, area models, and concrete/pictorial/symbolic strategies; factor completely first- and second-degree polynomials in one variable with integral coefficients, including factoring out the greatest common factor (GCF); determine the quotient of polynomials using a monomial, binomial, or completely factored divisor; represent and demonstrate equality of quadratic expressions in different forms (concrete, verbal, symbolic, graphical).
What strand of Algebra 1 is SOL A.EO.2 in?
SOL A.EO.2 belongs to the Expressions and Operations reporting strand of the Algebra 1 Virginia Standards of Learning.
How do I study and practice for SOL A.EO.2?
Start with a diagnostic to see whether A.EO.2 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.