Six questions · Explained answers · Free PDF

11th Grade Math Skill Check

A short check to choose your next practice in three selected skills. Work through the questions, compare your reasoning, then follow the lesson links for anything that needs another look.

What this check covers

Allow about 15–20 minutes, with no time limit. Show your working and try without a calculator. This check samples three skills taught within the grade. Use it to choose practice, not to assign a grade level.

Try the questions before reading the lessons. The same questions also appear as self-checks in those lessons.

  1. Simplify (x² − 16)/(x − 4), including restrictions.

  2. Simplify 8x²/(4x), including restrictions.

  3. Find log₂(32).

  4. Solve log₅(x) = 2.

  5. Find the fourth term of 5, 10, 20, … .

  6. Find the sum of the first three terms of 3, 9, 27, … .

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