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Worksheets›Algebra 1›Radicals & exponential functions›Radical equations

Radical Equations Worksheets

Free printable worksheets with answer keys. Pick a level, preview the questions, then open the sheet to swap or delete any single question.

Algebra 1CCSS HSA.REI.A.2Answer key includedPDF · Print
Open in generatorStart with an easy sheet

Easy: √(x + b) = c

  1. 1.√x + 8 = 4
  2. 2.√x + 7 = 7
  3. 3.√x + 3 = 9
  4. 4.√x + 9 = 3
  5. 5.√x + 4 = 6
  6. 6.√x − 3 = 8
Preview shows 6 of 12 questions. Every sheet is new; open it to change any question.

Worksheet variations

Get the square root alone on one side, square both sides, and solve what's left. Check the answer in the original equation: squaring can create answers that don't work.

Easy√x + 1 = 3√(x + b) = cMedium√x − 1 + 4 = 9Isolate the root firstHard√6x − 5 = √5x + 4A root on each side

How to solve it: a worked example

Solve each equation.

  1. Start√x − 7 = 9
  2. Square both sidesx − 7 = 81
  3. Thenx = 88
  4. Answerx = 88

Common mistakes to watch for

  • Squaring before the root is alone: (√x + 2)² isn't x + 4.
  • Squaring only one side.
  • Skipping the check, which catches answers that make a root negative.

Tip: tick “Step-by-step answer key” in the generator to print each step for marking.

Related worksheets

Simplifying radicalsExponential growth and decayRational exponentsMulti-step inequalitiesAbsolute value equations

FAQ

Is every worksheet different?

Yes. Numbers are generated each time, and the answer key is calculated for that sheet. Swap any single question and its answer updates too.

Can I mix radical equations with other skills?

Yes. In the generator, add more skills; each gets its own section on the sheet with its own instructions.

Is it free to print?

Yes. Generating and printing from the browser is free with no sign-up. PDF downloads need a free account.