Skills · Quadratics · Solving Quadratics

Solving by square roots

Printable practice with an answer key the engine computes, at three levels, in as many versions as you need.

Problem types

Sample Sheet · Level 1

  1. x² = 81
  2. 196 = x²
  3. x² = 16
  4. x² = 25
  5. x² = 64
  6. 169 = x²
  7. x² = 121
  8. 225 = x²

Answer key

  1. x = ±9
  2. x = ±14
  3. x = ±4
  4. x = ±5
  5. x = ±8
  6. x = ±13
  7. x = ±11
  8. x = ±15

Sample Sheet · Level 3

  1. x² = −64
  2. 196 = x²
  3. x² = 144
  4. (x − 2)² = 64
  5. (x + 4)² = 1
  6. (x − 6)² = 52
  7. 2x² + 50 = 100
  8. 5x² − 20 = 25

Answer key

  1. no real solution
  2. x = ±14
  3. x = ±12
  4. x = −6 or x = 10
  5. x = −5 or x = −3
  6. x = 6 ± 2√13
  7. x = ±5
  8. x = ±3

Make your own

Pick the count, the level and the version, and print it with work space and the key on its own page. The same skill also makes an I Do, We Do, You Do lesson, a Mosaic, a Decoder and more.

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