Algebra 2 · Equations and Inequalities
Virginia SOL A2.EI.6
Virginia SOL A2.EI.6 is part of the Equations and Inequalities strand in Algebra 2 (Math). Under this Standards of Learning objective, students represent, solve, and interpret polynomial equations. Below is what A2.EI.6 covers in plain language, the specific skills it is assessed on, the key concepts to review, and how to practice A2.EI.6 for the Virginia SOL test.
What SOL A2.EI.6 means
Represent, solve, and interpret polynomial equations.
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.6 and the rest of the course. Pick an answer to check it instantly, or open “Show answer” to review.
1. If (M= -7 & 10 & 3 ), which matrix represents (M^2)?
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Answer: A — ( 49 & -40 & 9 )
2. The dimensions of matrix (P) are (6 5). The dimensions of matrix (Z) are (5 1). What are the dimensions of matrix (PZ)?
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Answer: B — (6 1)
3. If (P= 4 & -3-2 & 1 ) and (P^-1Q= 20 & -30-10 & 12 ), what is the value of (Q)?
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Answer: J — ( 5 & -30 & 6 )
4. What is the solution set for the system of equations? (x^2+y^2=5) (x+y=1)
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Answer: D — (−1, 2), (2, −1)
Skills you’ll practice for A2.EI.6
- Determine a factored form of a polynomial equation of degree three or higher, given its zeros or the x-intercepts of the graph of its related function.
- Determine the number and type of solutions (real or imaginary) of a polynomial equation of degree three or higher.
- Solve a polynomial equation over the set of complex numbers.
- Verify possible solutions to polynomial equations of degree three or higher algebraically, graphically, and with technology.
Key concepts covered by A2.EI.6
- polynomial equation
- factored form
- zeros
- x-intercepts
- solutions
- real
- imaginary
- complex solutions
- solution verification
- algebraic
- graphical
- technology
How to study and practice SOL A2.EI.6
Start with a quick diagnostic to see whether A2.EI.6 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.4 — Represent, solve, and interpret equations containing rational algebraic expressions.
- A2.EI.5 — Represent, solve, and interpret equations containing radical expressions.
Frequently asked questions about SOL A2.EI.6
What is Virginia SOL A2.EI.6?
SOL A2.EI.6 is a Algebra 2 Standard of Learning in the Equations and Inequalities strand. It expects students to represent, solve, and interpret polynomial equations.
What skills does SOL A2.EI.6 cover?
SOL A2.EI.6 is assessed on 4 skills: determine a factored form of a polynomial equation of degree three or higher, given its zeros or the x-intercepts of the graph of its related function; determine the number and type of solutions (real or imaginary) of a polynomial equation of degree three or higher; solve a polynomial equation over the set of complex numbers; verify possible solutions to polynomial equations of degree three or higher algebraically, graphically, and with technology.
What strand of Algebra 2 is SOL A2.EI.6 in?
SOL A2.EI.6 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.6?
Start with a diagnostic to see whether A2.EI.6 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.