Algebra 1 · Expressions and Operations

Virginia SOL A.EO.4

Virginia SOL A.EO.4 is part of the Expressions and Operations strand in Algebra 1 (Math). Under this Standards of Learning objective, students simplify and determine equivalent radical expressions involving square roots and cube roots. Below is what A.EO.4 covers in plain language, the specific skills it is assessed on, the key concepts to review, and how to practice A.EO.4 for the Virginia SOL test.

Practice A.EO.4 All Algebra 1 standards

What SOL A.EO.4 means

Simplify and determine equivalent radical expressions involving square roots and cube roots.

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.4 and the rest of the course. Pick an answer to check it instantly, or open “Show answer” to review.

1. What is the solution to the equation (5(x+2)=7(4-x))?
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Answer: B — 1.5
2. What are the x-intercepts of the graph of (y=x^2+5x+4)?
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Answer: F — −4 and −1
3. What values of x make the inequality ( -3(x+1) 15 ) true?
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Answer: C — (x>=-6)
4. The profit equation for a manufacturing firm is (P=x^2-2500). For what number of units sold does the company break even?
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Answer: F — 50

→ Take the full free Algebra 1 SOL practice test

Skills you’ll practice for A.EO.4

Simplify and determine equivalent radical expressions involving the square root of a whole number in simplest form.
Simplify and determine equivalent radical expressions involving the cube root of an integer.
Add, subtract, and multiply radicals limited to numeric square and cube root expressions.
Generate equivalent numerical expressions for radicals using rational exponents (1/2 and 1/3) and justify equivalency.

Key concepts covered by A.EO.4

simplify square roots
equivalent radicals
whole numbers
simplest radical form
simplify cube roots
integers
add radicals
subtract radicals
multiply radicals
numeric radicals
square roots
cube roots
rational exponents
radical equivalency
square root exponent
cube root exponent
justify equivalency

How to study and practice SOL A.EO.4

Start with a quick diagnostic to see whether A.EO.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 Algebra 1 SOL practice test

A.EO.1 — Translate verbal quantitative situations into algebraic expressions and evaluate them for given variable values.
A.EO.2 — Perform operations on and factor polynomial expressions in one variable.
A.EO.3 — Derive and apply the laws of exponents to simplify expressions.

Frequently asked questions about SOL A.EO.4

What is Virginia SOL A.EO.4?

SOL A.EO.4 is a Algebra 1 Standard of Learning in the Expressions and Operations strand. It expects students to simplify and determine equivalent radical expressions involving square roots and cube roots.

What skills does SOL A.EO.4 cover?

SOL A.EO.4 is assessed on 4 skills: simplify and determine equivalent radical expressions involving the square root of a whole number in simplest form; simplify and determine equivalent radical expressions involving the cube root of an integer; add, subtract, and multiply radicals limited to numeric square and cube root expressions; generate equivalent numerical expressions for radicals using rational exponents (1/2 and 1/3) and justify equivalency.

What strand of Algebra 1 is SOL A.EO.4 in?

SOL A.EO.4 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.4?

Start with a diagnostic to see whether A.EO.4 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.