Algebra 2 · Statistics

Virginia SOL A2.ST.3

Virginia SOL A2.ST.3 is part of the Statistics strand in Algebra 2 (Math). Under this Standards of Learning objective, students compute and distinguish between permutations and combinations. Below is what A2.ST.3 covers in plain language, the specific skills it is assessed on, the key concepts to review, and how to practice A2.ST.3 for the Virginia SOL test.

What SOL A2.ST.3 means

Compute and distinguish between permutations and combinations.

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.ST.3 and the rest of the course. Pick an answer to check it instantly, or open “Show answer” to review.

  1. 1. Which is the solution set for (2x^2-7x+6=0)?

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    Answer: A — (1.5,2)

  2. 2. The width of a rectangular window is 2 feet more than its height. If the area is 35 square feet, what is the height?

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    Answer: C — 5 ft

  3. 3. Which value of (x) is a solution to ( sqrt2x+24=3)?

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    Answer: B — 25

  4. 4. Which is the solution set of (|5s-5|=3)?

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    Answer: C — (-1,11)

→ Take the full free Algebra 2 SOL practice test

Skills you’ll practice for A2.ST.3

  • Compare and contrast permutations and combinations to count the number of ways events can occur.
  • Calculate the number of permutations of n objects taken r at a time.
  • Calculate the number of combinations of n objects taken r at a time.
  • Use permutations and combinations as counting techniques to solve contextual problems.
  • Calculate and verify permutations and combinations using technology.

Key concepts covered by A2.ST.3

  • permutations
  • combinations
  • counting techniques
  • nPr
  • counting
  • nCr
  • contextual problems
  • technology

How to study and practice SOL A2.ST.3

Start with a quick diagnostic to see whether A2.ST.3 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.ST.1Apply the data cycle with a focus on univariate quantitative data represented by a smooth curve, including a normal curve.
  • A2.ST.2Apply the data cycle with a focus on representing bivariate data in scatterplots and determining the curve of best fit.

Frequently asked questions about SOL A2.ST.3

What is Virginia SOL A2.ST.3?

SOL A2.ST.3 is a Algebra 2 Standard of Learning in the Statistics strand. It expects students to compute and distinguish between permutations and combinations.

What skills does SOL A2.ST.3 cover?

SOL A2.ST.3 is assessed on 5 skills: compare and contrast permutations and combinations to count the number of ways events can occur; calculate the number of permutations of n objects taken r at a time; calculate the number of combinations of n objects taken r at a time; use permutations and combinations as counting techniques to solve contextual problems; calculate and verify permutations and combinations using technology.

What strand of Algebra 2 is SOL A2.ST.3 in?

SOL A2.ST.3 belongs to the Statistics reporting strand of the Algebra 2 Virginia Standards of Learning.

How do I study and practice for SOL A2.ST.3?

Start with a diagnostic to see whether A2.ST.3 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.