Education.com
Try
Brainzy
Try
Plus

Using the Quadratic Formula Practice Problems

By
Updated on Aug 24, 2011

To review these concepts, go to Using the Quadratic Formula Study Guide.

Practice

Find a, b, and c in the following quadratic equations.

  1. 4x2 + 8x + 1 = 0
  2. x2 – 4x + 10 = 0
  3. 2x2 + 3x = 0
  4. 6x2– 8 = 0
  5. 4x2 = 7
  6. 3x2 = 0
  7. 2x2 = –3x + 4
  8. 9x2 + 2 = 7x

Solve the equations using the quadratic formula.

  1. 4x2 + 8x = 0
  2. 3x2 = 12x
  3. x2 – 25 = 0
  4. x2 + 4x = 5
  5. x2 + 4x – 21 = 0
  6. x2 + 11x + 30 = 0
  7. 2x2 + 5x+ 3 = 0
  8. 6x2 + 1 = 5x

Solve the equations using the quadratic formula. Leave your answers in radical form.

  1. x2 – 3x + 1 = 0
  2. 2x2 – 2x = 5
  3. y2 – 5y + 2 = 0
  4. r2 – 7r – 3 = 0
  5. x2 – 3x – 5 = 0
  6. 4x2 – 5x – 1 = 0
  7. m2 + 11m – 1 = 0
  8. x2 + 5x = 3
  9. 2x2 + 3x + 2 = 0
  10. x2 – 4x + 2 = 0
  11. 3y2 + 3y – 3 = 0
  12. x2 + 2x – 6 = 0
  13. 2x2 + x – 5 = 0
  14. a2a + 1 = 0

Practice Application

  1. Find the height of an archway when the span is 160 ft. and the radius is 100 ft.

Solutions

  1. 4,8,1
  2. 1,–4,10
  3. 2,3,0
  4. 6,0,–8
  5. 4,0,–7
  6. 3,0,0
  7. 2,3,–4
  8. 9,–7,2
  9. 0,–2
  10. 0,4
  11. 5,–5
  12. –5,1
  13. –7,3
  14. –5,–6
  15. 4±√2
  16. –2±√7
Add your own comment

Ask a Question

Have questions about this article or topic? Ask
Ask
150 Characters allowed