Algebra 1 · Equations and Inequalities

Virginia SOL A.EI.1

Virginia SOL A.EI.1 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 multistep linear equations, inequalities, and literal equations. Below is what A.EI.1 covers in plain language, the specific skills it is assessed on, the key concepts to review, and how to practice A.EI.1 for the Virginia SOL test.

Practice A.EI.1 All Algebra 1 standards

What SOL A.EI.1 means

Represent, solve, explain, and interpret solutions to multistep linear equations, inequalities, and literal equations.

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

1. What is the value of ( (4x-5y)/(2y) ) if (x=-6) and (y=2)?
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Answer: B — −8.5
2. The expression ( sqrt175 ) is in simplest radical form of which number?
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Answer: H — 175
3. A shaded region is formed by a rectangle of area (x^2) with a smaller rectangle of area (6) removed. Which expression represents the shaded area?
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Answer: B — (x^2-6)
4. Which is a factored form of (5x^2-20x)?
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Answer: H — (5x(x-4))

→ Take the full free Algebra 1 SOL practice test

Skills you’ll practice for A.EI.1

Write a linear equation or inequality in one variable to represent a contextual situation.
Solve multistep linear equations in one variable, including contextual situations, using properties of real numbers and equality.
Solve multistep linear inequalities in one variable algebraically and graph the solution set on a number line, including contextual situations.
Rearrange a formula or literal equation to solve for a specified variable using properties of equality.
Determine if a linear equation in one variable has one solution, no solution, or an infinite number of solutions.
Verify possible solutions to multistep linear equations and inequalities algebraically, graphically, and with technology.

Key concepts covered by A.EI.1

linear equation
linear inequality
one variable
contextual representation
solve linear equations
multistep equations
properties of equality
contextual solutions
solve linear inequalities
multistep inequalities
number line graphing
properties of inequality
rearrange formulas
literal equations
solve for variable
linear equation solutions
one solution
no solution
infinite solutions
verify solutions
algebraic verification
graphical verification
technology verification

How to study and practice SOL A.EI.1

Start with a quick diagnostic to see whether A.EI.1 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.2 — Represent, solve, explain, and interpret solutions to systems of linear equations, inequalities, and linear inequalities in two variables.
A.EI.3 — Represent, solve, and interpret solutions to quadratic equations in one variable.

Frequently asked questions about SOL A.EI.1

What is Virginia SOL A.EI.1?

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

What skills does SOL A.EI.1 cover?

SOL A.EI.1 is assessed on 6 skills: write a linear equation or inequality in one variable to represent a contextual situation; solve multistep linear equations in one variable, including contextual situations, using properties of real numbers and equality; solve multistep linear inequalities in one variable algebraically and graph the solution set on a number line, including contextual situations; rearrange a formula or literal equation to solve for a specified variable using properties of equality; determine if a linear equation in one variable has one solution, no solution, or an infinite number of solutions; verify possible solutions to multistep linear equations and inequalities algebraically, graphically, and with technology.

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

SOL A.EI.1 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.1?

Start with a diagnostic to see whether A.EI.1 is already solid, then work the 6 skills above with guided notes, flashcards, and SOL-style practice questions. For official released items, see the Virginia SOL practice tests guide.