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Grade 10 · Mathematics

Grade 10 Quadratic equations worksheet

20 questions on quadratic equations. The answer key is a separate download.

What is on the worksheet

  1. Find the smaller root of (x − 6)(x − 10) = 0.

  2. The graph y = 1x² + 20x + 13 has axis x = k. Find k.

  3. Find the discriminant of 2x² + 6x + 1 = 0.

  4. Find f(4) if f(x) = 6x² + 6x + 4.

  5. Find the smaller root of (x − 14)(x − 25) = 0.

  6. The graph y = 10x² + 40x + 9 has axis x = k. Find k.

  7. The graph y = 4x² + 21x + 13 has axis x = k. Find k.

  8. Find the discriminant of 2x² + 4x + 11 = 0.

  9. The graph y = 8x² + 7x + 10 has axis x = k. Find k.

  10. The graph y = 5x² + 27x + 12 has axis x = k. Find k.

  11. Expand (5x + 14)². What is the coefficient of x?

  12. Find f(-4) if f(x) = 1x² + 7x + 12.

  13. Find f(0) if f(x) = 3x² + 8x + 3.

  14. Find the discriminant of 6x² + 15x + 8 = 0.

  15. Find the discriminant of 2x² + 13x + 13 = 0.

  16. The graph y = 4x² + 5x + 1 has axis x = k. Find k.

  17. Find the smaller root of (x − 17)(x − 26) = 0.

  18. Expand (10x + 19)². What is the coefficient of x?

  19. The graph y = 7x² + 20x + 11 has axis x = k. Find k.

  20. The graph y = 3x² + 28x + 15 has axis x = k. Find k.

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