Algebra 1 · Expressions and Operations
Virginia SOL A.EO.3
Virginia SOL A.EO.3 is part of the Expressions and Operations strand in Algebra 1 (Math). Under this Standards of Learning objective, students derive and apply the laws of exponents to simplify expressions. Below is what A.EO.3 covers in plain language, the specific skills it is assessed on, the key concepts to review, and how to practice A.EO.3 for the Virginia SOL test.
What SOL A.EO.3 means
Derive and apply the laws of exponents to simplify expressions.
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.3 and the rest of the course. Pick an answer to check it instantly, or open “Show answer” to review.
1. Which property justifies rewriting (3x-5x) as ((3-5)x)?
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Answer: B — Distributive property
2. Which graph best represents a line with an undefined slope? A vertical line where x is constant for all y-values.
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Answer: F — Vertical line
3. What is the solution to the system of equations? y=4x+2 y=x-1
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Answer: B — (x=-1,y=-2)
4. While solving an equation, Lenny rewrote ((2x+1)+5=9) as (2x+(1+5)=9). What property of real numbers guarantees the equations are equivalent?
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Answer: F — Associative property of addition
Skills you’ll practice for A.EO.3
- Derive the laws of exponents through exploration of patterns for products, quotients, and powers of bases.
- Simplify multivariable expressions and ratios of monomial expressions with integer exponents using the laws of exponents.
Key concepts covered by A.EO.3
- laws of exponents
- exponent patterns
- product of powers
- quotient of powers
- power of a power
- simplify exponents
- multivariable expressions
- monomial ratios
- integer exponents
- exponent laws
How to study and practice SOL A.EO.3
Start with a quick diagnostic to see whether A.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.
Related Algebra 1 standards in Expressions and Operations
- 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.4 — Simplify and determine equivalent radical expressions involving square roots and cube roots.
Frequently asked questions about SOL A.EO.3
What is Virginia SOL A.EO.3?
SOL A.EO.3 is a Algebra 1 Standard of Learning in the Expressions and Operations strand. It expects students to derive and apply the laws of exponents to simplify expressions.
What skills does SOL A.EO.3 cover?
SOL A.EO.3 is assessed on 2 skills: derive the laws of exponents through exploration of patterns for products, quotients, and powers of bases; simplify multivariable expressions and ratios of monomial expressions with integer exponents using the laws of exponents.
What strand of Algebra 1 is SOL A.EO.3 in?
SOL A.EO.3 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.3?
Start with a diagnostic to see whether A.EO.3 is already solid, then work the 2 skills above with guided notes, flashcards, and SOL-style practice questions. For official released items, see the Virginia SOL practice tests guide.