Algebra 1 · Equations and Inequalities

Virginia SOL A.EI.2

Virginia SOL A.EI.2 is part of the Equations and Inequalities strand in Algebra 1 (Math). Under this Standards of Learning objective, students represent, solve, explain, and interpret solutions to systems of linear equations, inequalities, and linear inequalities in two variables. Below is what A.EI.2 covers in plain language, the specific skills it is assessed on, the key concepts to review, and how to practice A.EI.2 for the Virginia SOL test.

Practice A.EI.2 All Algebra 1 standards

What SOL A.EI.2 means

Represent, solve, explain, and interpret solutions to systems of linear equations, inequalities, and linear inequalities in two variables.

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.EI.2 and the rest of the course. Pick an answer to check it instantly, or open “Show answer” to review.

1. Which binomial is a factor of (2x^2+x-1)?
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Answer: C — (2x-1)
2. Which polynomial is equivalent to ((2x^2-5x+6)+(5x^2-3x+4))?
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Answer: F — (7x^2-8x+10)
3. What is ( sqrt180 ) written in simplest radical form?
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Answer: C — (6 5)
4. What is the value of (3x+4y) if (x= 13) and (y= 12)?
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Answer: G — 3

→ Take the full free Algebra 1 SOL practice test

Skills you’ll practice for A.EI.2

Create a system of two linear equations in two variables to represent a contextual situation.
Solve a system of two linear equations in two variables algebraically and graphically using properties of real numbers and equality.
Determine whether a system of two linear equations has one solution, no solution, or an infinite number of solutions.
Create a linear inequality in two variables to represent a contextual situation.
Represent the solution of a linear inequality in two variables graphically on a coordinate plane.
Create a system of two linear inequalities in two variables to represent a contextual situation.
Represent the solution set of a system of two linear inequalities in two variables graphically on a coordinate plane.
Verify possible solutions to a system of two linear equations, a linear inequality in two variables, or a system of two linear inequalities algebraically, graphically, and with technology.

Key concepts covered by A.EI.2

system of equations
two variables
contextual representation
solve system of equations
algebraic solution
graphical solution
properties of equality
system solutions
one solution
no solution
infinite solutions
linear inequality
graph linear inequality
coordinate plane
solution set
system of inequalities
graph system of inequalities
verify system solutions
algebraic verification
graphical verification
technology verification

How to study and practice SOL A.EI.2

Start with a quick diagnostic to see whether A.EI.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.

→ Take the free Algebra 1 SOL practice test

A.EI.1 — Represent, solve, explain, and interpret solutions to multistep linear equations, inequalities, and literal equations.
A.EI.3 — Represent, solve, and interpret solutions to quadratic equations in one variable.

Frequently asked questions about SOL A.EI.2

What is Virginia SOL A.EI.2?

SOL A.EI.2 is a Algebra 1 Standard of Learning in the Equations and Inequalities strand. It expects students to represent, solve, explain, and interpret solutions to systems of linear equations, inequalities, and linear inequalities in two variables.

What skills does SOL A.EI.2 cover?

SOL A.EI.2 is assessed on 8 skills: create a system of two linear equations in two variables to represent a contextual situation; solve a system of two linear equations in two variables algebraically and graphically using properties of real numbers and equality; determine whether a system of two linear equations has one solution, no solution, or an infinite number of solutions; create a linear inequality in two variables to represent a contextual situation; represent the solution of a linear inequality in two variables graphically on a coordinate plane; create a system of two linear inequalities in two variables to represent a contextual situation; represent the solution set of a system of two linear inequalities in two variables graphically on a coordinate plane; verify possible solutions to a system of two linear equations, a linear inequality in two variables, or a system of two linear inequalities algebraically, graphically, and with technology.

What strand of Algebra 1 is SOL A.EI.2 in?

SOL A.EI.2 belongs to the Equations and Inequalities reporting strand of the Algebra 1 Virginia Standards of Learning.

How do I study and practice for SOL A.EI.2?

Start with a diagnostic to see whether A.EI.2 is already solid, then work the 8 skills above with guided notes, flashcards, and SOL-style practice questions. For official released items, see the Virginia SOL practice tests guide.