Algebra 2 worksheets
Not sure what comes next? Start with the first sheet that feels comfortable.
Logarithms
Grade 10–11
Read a logarithm as the power its base is raised to, in both directions
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In teaching order
Algebra 2 worksheets, easiest first
Each sheet assumes the one above it is comfortable. Start where your child is, not at the top.- Logarithms
Print log₂ 32 - Laws of logarithms
Print log₅ 6 + log₅ 4 - Simplifying radicals
Print √72 = 6√2 - Rational exponents
Print 8^(2/3) = 4 - Complex numbers
Print (3 + 2i)(1 − 4i) - Powers of i
Print i¹⁷ = i - Multiplying complex numbers
Print (2 − 2i)(4 + 2i) - Dividing complex numbers
Print (−2 + 3i) ÷ (2 + 3i) - Completing the square
Print x² + 6x + 5 - Dividing polynomials
Print (x³ + 2x² − 5x − 6) ÷ (x + 3) - Factoring cubic polynomials
Print x³ + 4x² − x − 4 - Rational expressions
Print (x² − 9) / (x² + x − 12) - Multiplying and dividing rational expressions
Print (x + 3)/(x + 5) × (x + 5)/(x − 2) - Solving rational equations
Print 12/(x + 3) = 4 - Arithmetic series
Print 3, 7, 11, … S₆ - Geometric series
Print 6, 18, 54, … S₅ - Infinite geometric series
Print 27, 18, 12, … S∞ - Inverse functions
Print f(x) = 3x − 5 - Quadratics with complex solutions
Print x² − 6x + 45 = 0 - A line meeting a parabola
Print y = x² − 12x + 21, y = −2x − 3
A simple way through algebra 2
Every sheet here shows its working, and that is a deliberate difference from the shelves below. A page of Algebra 2 questions with a blank line beside each one is a page a student can only be wrong on; a page with the method under the answer is one they can find their own mistake in. So the printed question is the expression alone — no “= (x + ▢)(x + ▢)” template spelling out the shape of an answer they have not found yet — and the space under it is theirs to work in.
Why this order works
The arithmetic is exact everywhere, and that took choosing. `log(9) / log(3)` evaluates to 2.0000000000000004 in a browser and `Math.pow(1000, 1/3)` to 9.999999999999998, so nothing on this shelf is ever recovered by taking a root or a logarithm. Every question is built FORWARDS from whole numbers — a power, a product, a set of roots — and the answer is what was chosen. An answer key that depends on which browser printed it is not an answer key.