Algebra 2 · Equations and Inequalities
Virginia SOL A2.EI.4
Virginia SOL A2.EI.4 is part of the Equations and Inequalities strand in Algebra 2 (Math). Under this Standards of Learning objective, students represent, solve, and interpret equations containing rational algebraic expressions. Below is what A2.EI.4 covers in plain language, the specific skills it is assessed on, the key concepts to review, and how to practice A2.EI.4 for the Virginia SOL test.
What SOL A2.EI.4 means
Represent, solve, and interpret equations containing rational algebraic expressions.
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.EI.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 set for (-(5)/(3x)=(8)/(x)), where (x 0)?
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Answer: D — 6
2. Which of the following represents the solutions to (4x+9>11)?
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Answer: F — (x<-(5)/(2)) or (x>(1)/(2))
3. What is the solution set of (2x+7=6)?
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Answer: C — ( (29)/(2) )
4. What is the solution set of (2x^2+7x+5=0)?
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Answer: G — ( -(5)/(2),-1 )
Skills you’ll practice for A2.EI.4
- Create an equation containing a rational expression to model a contextual situation.
- Solve rational equations with real solutions containing factorable algebraic expressions algebraically and graphically.
- Verify possible solutions to rational equations algebraically, graphically, and with technology.
- Justify why a possible solution to an equation containing a rational expression might be extraneous.
Key concepts covered by A2.EI.4
- rational equation
- contextual modeling
- algebraic solution
- graphical solution
- factorable expressions
- solution verification
- algebraic
- graphical
- technology
- extraneous solutions
- rational expressions
- justification
How to study and practice SOL A2.EI.4
Start with a quick diagnostic to see whether A2.EI.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.
Related Algebra 2 standards in Equations and Inequalities
- A2.EI.1 — Represent, solve, and interpret absolute value equations and inequalities in one variable.
- A2.EI.2 — Represent, solve, and interpret quadratic equations in one variable over the set of complex numbers and solve quadratic inequalities in one variable.
- A2.EI.3 — Solve a system of equations in two variables containing a quadratic expression.
- A2.EI.5 — Represent, solve, and interpret equations containing radical expressions.
- A2.EI.6 — Represent, solve, and interpret polynomial equations.
Frequently asked questions about SOL A2.EI.4
What is Virginia SOL A2.EI.4?
SOL A2.EI.4 is a Algebra 2 Standard of Learning in the Equations and Inequalities strand. It expects students to represent, solve, and interpret equations containing rational algebraic expressions.
What skills does SOL A2.EI.4 cover?
SOL A2.EI.4 is assessed on 4 skills: create an equation containing a rational expression to model a contextual situation; solve rational equations with real solutions containing factorable algebraic expressions algebraically and graphically; verify possible solutions to rational equations algebraically, graphically, and with technology; justify why a possible solution to an equation containing a rational expression might be extraneous.
What strand of Algebra 2 is SOL A2.EI.4 in?
SOL A2.EI.4 belongs to the Equations and Inequalities reporting strand of the Algebra 2 Virginia Standards of Learning.
How do I study and practice for SOL A2.EI.4?
Start with a diagnostic to see whether A2.EI.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.