Solving Using the Quadratic Formula Worksheet

Solve each equation using the quadratic equation.

Checking Your Answers

Click “Show Answer” underneath the problem to see the answer. Or click the “Show Answers” button at the bottom of the page to see all the answers at once.

Example:

Equation: x^2 + x - 3.75 = 0 
Answer: x = -2.5, 1.5

Quiz:

  1. Equation: x^2 - 7x + 10 = 0 
    Answer: x = 2, 5
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  2. Equation: x^2 - 14x + 45 = 0 
    Answer: x = 5, 9
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  3. Equation: 0.25x^2 - 0.25x - 10.5 = 0 
    Answer: x = -6, 7
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  4. Equation: 0.3y^2 + 0.15y - 11.7 = 0 
    Answer: y = -6.5, 6
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  5. Equation: 10k^2 + 200k + 937.5 = 0 
    Answer: k = -12.5, -7.5
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  6. Equation: x^2 - 11x + 30.25 
    Answer: x = 5.5
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  7. Equation: 4x^2 + 8x - 77 = 0 
    Answer: x = -5.5, 3.5
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  8. Equation: 16y^2 - 8y - 3 = 0 
    Answer: y = -0.25, 0.75
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  9. Equation: x^2 - 1.375x + 0.375 = 0 
    Answer: x = 1, 0.375
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  10. Equation: z^2 + 0.6z - 20.16 = 0 
    Answer: z = -4.8, 4.2
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  11. Equation: x^2 = 15 + 2x 
    Answer: x = -3, 5
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  12. Equation: k^2 - 10k + 35 = 7k - 35 
    Answer: k = 7, 10
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  13. Equation: 2x^2 + 5 + 20x = 20 - 8x^2 + x 
    Answer: x = -2.5, 0.6
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  14. Equation: 3 = 16p - 20p^2 
    Answer: p = 0.3, 0.5
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  15. Equation: 8y = 0.5y^2 + 31.5 
    Answer: y = 7, 9
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  16. Equation: 2m + m^2 + 2.5m - 2.5 = 0 
    Answer: m = -5, 0.5
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  17. Equation: n^2 + 7n + n^2 - 10 = 5 
    Answer: n = -5, 1.5
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  18. Equation: x^2 = 7.84 
    Answer: x = -2.8, 2.8
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  19. Equation: x^2 - 3x = 0 
    Answer: x = 0, 3
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  20. Equation: q^2 - 7.5q + 25 = -q^2 - 7.5q 
    Answer: q = 2.5, 5
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    21. Show all answers

Related Pages


Solve by Using the Quadratic Equation Lesson


Brush up on your knowledge of the techniques needed to solve problems on this page.

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