Algebra 2 · Equations and Inequalities

Virginia SOL A2.EI.1

Virginia SOL A2.EI.1 is part of the Equations and Inequalities strand in Algebra 2 (Math). Under this Standards of Learning objective, students represent, solve, and interpret absolute value equations and inequalities in one variable. Below is what A2.EI.1 covers in plain language, the specific skills it is assessed on, the key concepts to review, and how to practice A2.EI.1 for the Virginia SOL test.

Practice A2.EI.1 All Algebra 2 standards

What SOL A2.EI.1 means

Represent, solve, and interpret absolute value equations and inequalities in one variable.

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

1. The time it takes to do a job is inversely proportional to the number of workers. If 8 workers can do a job in 6 days, then 16 workers can do the same job in —
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Answer: B — 3 days
2. What type of function is (y=2x+8)?
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Answer: F — Exponential
3. The graph of (y=4x-11) is translated up 8 units. Which equation represents the translated graph?
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Answer: J — (y=4x-3)
4. Which equation represents the statement: “(r) is inversely proportional to (s) and directly proportional to the cube of (t)”?
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Answer: D — (r=(kt^3)/(s))

→ Take the full free Algebra 2 SOL practice test

Skills you’ll practice for A2.EI.1

Create an absolute value equation in one variable to model a contextual situation.
Solve an absolute value equation in one variable algebraically and verify the solution graphically.
Create an absolute value inequality in one variable to model a contextual situation.
Solve an absolute value inequality in one variable and represent the solution set using set notation, interval notation, and a number line.
Verify possible solutions to absolute value equations and inequalities algebraically, graphically, and with technology.

Key concepts covered by A2.EI.1

absolute value equation
contextual modeling
algebraic solution
graphical verification
absolute value inequality
solution set
set notation
interval notation
solution verification
algebraic
graphical
technology

How to study and practice SOL A2.EI.1

Start with a quick diagnostic to see whether A2.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 2 SOL practice test

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.4 — Represent, solve, and interpret equations containing rational algebraic expressions.
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.1

What is Virginia SOL A2.EI.1?

SOL A2.EI.1 is a Algebra 2 Standard of Learning in the Equations and Inequalities strand. It expects students to represent, solve, and interpret absolute value equations and inequalities in one variable.

What skills does SOL A2.EI.1 cover?

SOL A2.EI.1 is assessed on 5 skills: create an absolute value equation in one variable to model a contextual situation; solve an absolute value equation in one variable algebraically and verify the solution graphically; create an absolute value inequality in one variable to model a contextual situation; solve an absolute value inequality in one variable and represent the solution set using set notation, interval notation, and a number line; verify possible solutions to absolute value equations and inequalities algebraically, graphically, and with technology.

What strand of Algebra 2 is SOL A2.EI.1 in?

SOL A2.EI.1 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.1?

Start with a diagnostic to see whether A2.EI.1 is already solid, then work the 5 skills above with guided notes, flashcards, and SOL-style practice questions. For official released items, see the Virginia SOL practice tests guide.