Algebra 2 · Expressions and Operations

Virginia SOL A2.EO.3

Virginia SOL A2.EO.3 is part of the Expressions and Operations strand in Algebra 2 (Math). Under this Standards of Learning objective, students perform operations on polynomial expressions and factor polynomials in one and two variables. Below is what A2.EO.3 covers in plain language, the specific skills it is assessed on, the key concepts to review, and how to practice A2.EO.3 for the Virginia SOL test.

What SOL A2.EO.3 means

Perform operations on polynomial expressions and factor polynomials in one and two variables.

Practice Algebra 2 SOL questions

Free Algebra 2 questions from official Virginia Department of Education released SOL tests — good practice while you work on A2.EO.3 and the rest of the course. Pick an answer to check it instantly, or open “Show answer” to review.

  1. 1. Which property would justify the following statement? If (x+2=y) and (y=20), then (x+2=20).

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    Answer: D — Transitive property of equality

  2. 2. Which expression is equivalent to ((2x^8 * 5y)/(4x^2 * 25y^3)), where (x 0) and (y 0)?

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    Answer: G — ((i)/(i))

  3. 3. Using (a_n = ar^n-1), what is the 10th term in this geometric sequence? (0.2, 1, 5, 25, 125, )

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    Answer: B — 390,625

  4. 4. If (f(x)=2x^2-7x), what is the value of (f(-4))?

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    Answer: H — 60

→ Take the full free Algebra 2 SOL practice test

Skills you’ll practice for A2.EO.3

  • Determine sums, differences, and products of polynomials in one and two variables.
  • Factor polynomials completely in one and two variables with no more than four terms over the set of integers.
  • Determine the quotient of polynomials using monomial, binomial, and factorable trinomial divisors.
  • Represent and demonstrate equality of polynomial expressions in different forms and verify polynomial identities.

Key concepts covered by A2.EO.3

  • polynomial operations
  • sums
  • differences
  • products
  • factoring
  • polynomials
  • integers
  • polynomial division
  • quotient
  • divisors
  • polynomial identities
  • equality
  • different forms

How to study and practice SOL A2.EO.3

Start with a quick diagnostic to see whether A2.EO.3 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 Algebra 2 SOL practice test

  • A2.EO.1Perform operations on and simplify rational expressions.
  • A2.EO.2Perform operations on and simplify radical expressions.
  • A2.EO.4Perform operations on complex numbers.

Frequently asked questions about SOL A2.EO.3

What is Virginia SOL A2.EO.3?

SOL A2.EO.3 is a Algebra 2 Standard of Learning in the Expressions and Operations strand. It expects students to perform operations on polynomial expressions and factor polynomials in one and two variables.

What skills does SOL A2.EO.3 cover?

SOL A2.EO.3 is assessed on 4 skills: determine sums, differences, and products of polynomials in one and two variables; factor polynomials completely in one and two variables with no more than four terms over the set of integers; determine the quotient of polynomials using monomial, binomial, and factorable trinomial divisors; represent and demonstrate equality of polynomial expressions in different forms and verify polynomial identities.

What strand of Algebra 2 is SOL A2.EO.3 in?

SOL A2.EO.3 belongs to the Expressions and Operations reporting strand of the Algebra 2 Virginia Standards of Learning.

How do I study and practice for SOL A2.EO.3?

Start with a diagnostic to see whether A2.EO.3 is already solid, then work the 4 skills above with guided notes, flashcards, and SOL-style practice questions. For official released items, see the Virginia SOL practice tests guide.