# Solving Using the Quadratic Formula Worksheet

Solve each equation using the quadratic equation.

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`

2. `Equation: x^2 - 14x + 45 = 0 `
`Answer: x = 5, 9`

3. `Equation: 0.25x^2 - 0.25x - 10.5 = 0 `
`Answer: x = -6, 7`

4. `Equation: 0.3y^2 + 0.15y - 11.7 = 0 `
`Answer: y = -6.5, 6`

5. `Equation: 10k^2 + 200k + 937.5 = 0 `
`Answer: k = -12.5, -7.5`

6. `Equation: x^2 - 11x + 30.25 `
`Answer: x = 5.5`

7. `Equation: 4x^2 + 8x - 77 = 0 `
`Answer: x = -5.5, 3.5`

8. `Equation: 16y^2 - 8y - 3 = 0 `
`Answer: y = -0.25, 0.75`

9. `Equation: x^2 - 1.375x + 0.375 = 0 `
`Answer: x = 1, 0.375`

10. `Equation: z^2 + 0.6z - 20.16 = 0 `
`Answer: z = -4.8, 4.2`

11. `Equation: x^2 = 15 + 2x `
`Answer: x = -3, 5`

12. `Equation: k^2 - 10k + 35 = 7k - 35 `
`Answer: k = 7, 10`

13. `Equation: 2x^2 + 5 + 20x = 20 - 8x^2 + x `
`Answer: x = -2.5, 0.6`

14. `Equation: 3 = 16p - 20p^2 `
`Answer: p = 0.3, 0.5`

15. `Equation: 8y = 0.5y^2 + 31.5 `
`Answer: y = 7, 9`

16. `Equation: 2m + m^2 + 2.5m - 2.5 = 0 `
`Answer: m = -5, 0.5`

17. `Equation: n^2 + 7n + n^2 - 10 = 5 `
`Answer: n = -5, 1.5`

18. `Equation: x^2 = 7.84 `
`Answer: x = -2.8, 2.8`

19. `Equation: x^2 - 3x = 0 `
`Answer: x = 0, 3`

20. `Equation: q^2 - 7.5q + 25 = -q^2 - 7.5q `
`Answer: q = 2.5, 5`

## Related Pages

Solve by Using the Quadratic Equation Lesson