Algebra 2 Worksheets

Six printable worksheet generators for grades 9–11, each with three difficulty levels and an answer key.

Grades 9–11

What Algebra 2 covers

Algebra 2 builds on the linear equations and expression simplifying from Algebra 1. Students move from first-degree to second-degree expressions: multiplying and factoring polynomials, solving quadratic equations, and working with square roots and exponents. Systems of linear equations appear here too, because they combine equation solving with careful bookkeeping.

These topics are usually taught in grades 9–11, and the exact grade depends on the school and the province or state. Each worksheet generator has an Easy, a Medium and a Hard level, so the same topic can be used when it is first introduced and again for review before a test.

Algebra 2 topics

Quadratic Equations Solve quadratic equations by factoring and the zero-product property. Systems of Equations Solve pairs of linear equations with the elimination method. Polynomial Multiplication Multiply binomials with FOIL, including squaring a binomial. Factoring Polynomials Factor trinomials, differences of squares and perfect squares. Radical Expressions Simplify square roots, combine like radicals and multiply them. Exponential Equations Solve exponential equations by matching the bases.

Recommended order

  1. Polynomial Multiplication — expanding products of binomials.
  2. Factoring Polynomials — the same skill in reverse.
  3. Quadratic Equations — factoring is the main tool for solving them.
  4. Systems of Equations — can be taught at any point; it only needs linear equations.
  5. Radical Expressions — simplifying and combining square roots.
  6. Exponential Equations — fractional answers connect back to roots.

Students who struggle with factoring usually need more practice multiplying first, so it is worth going back one step rather than repeating the harder worksheet.

Worksheet layout and answer forms

Each Algebra 2 topic has Easy, Medium and Hard settings, and most worksheets hold 20 problems on a page. Systems of equations hold 18, with extra space below each pair of equations for the elimination steps.

Answer keys at this level follow fixed forms: fractions in lowest terms, radicals fully simplified, factoring answers completely factored, and the smaller solution first when an equation has two. How these are checked is described in How MathGem makes and checks its problems.