1. $x^2 + 5x + 6 = 0$
Factor: $(x + 2)(x + 3) = 0$
Solutions: $x = -2$, $x = -3$
2. $x^2 - 36 = 0$
Factor: $(x - 6)(x + 6) = 0$
Solutions: $x = 6$, $x = -6$
3. $x^2 - 2x - 15 = 0$
Factor: $(x - 5)(x + 3) = 0$
Solutions: $x = 5$, $x = -3$
4. $x^2 - 3x - 28 = 0$
Factor: $(x - 7)(x + 4) = 0$
Solutions: $x = 7$, $x = -4$
5. $x^2 + 11x + 18 = 0$
Factor: $(x + 2)(x + 9) = 0$
Solutions: $x = -2$, $x = -9$
6. $x^2 + 14x + 48 = 0$
Factor: $(x + 6)(x + 8) = 0$
Solutions: $x = -6$, $x = -8$
7. $x^2 + x - 2 = 0$
Factor: $(x + 2)(x - 1) = 0$
Solutions: $x = -2$, $x = 1$
8. $x^2 - 11x + 28 = 0$
Factor: $(x - 7)(x - 4) = 0$
Solutions: $x = 7$, $x = 4$
9. $x^2 - 6x - 27 = 0$
Factor: $(x - 9)(x + 3) = 0$
Solutions: $x = 9$, $x = -3$
10. $x^2 - 3x - 40 = 0$
Factor: $(x - 8)(x + 5) = 0$
Solutions: $x = 8$, $x = -5$
11. $x^2 - 2x + 1 = 0$
Factor: $(x - 1)^2 = 0$
Solution: $x = 1$
12. $x^2 - 7x + 6 = 0$
Factor: $(x - 1)(x - 6) = 0$
Solutions: $x = 1$, $x = 6$
13. $x^2 - 2x - 35 = 0$
Factor: $(x - 7)(x + 5) = 0$
Solutions: $x = 7$, $x = -5$
14. $x^2 + 5x - 14 = 0$
Factor: $(x + 7)(x - 2) = 0$
Solutions: $x = -7$, $x = 2$
15. $x^2 - x - 30 = 0$
Factor: $(x - 6)(x + 5) = 0$
Solutions: $x = 6$, $x = -5$
16. $x^2 - 14x + 45 = 0$
Factor: $(x - 5)(x - 9) = 0$
Solutions: $x = 5$, $x = 9$
17. $x^2 + 9x + 18 = 0$
Factor: $(x + 3)(x + 6) = 0$
Solutions: $x = -3$, $x = -6$
18. $x^2 - 14x + 48 = 0$
Factor: $(x - 6)(x - 8) = 0$
Solutions: $x = 6$, $x = 8$
19. $x^2 + 12x + 27 = 0$
Factor: $(x + 3)(x + 9) = 0$
Solutions: $x = -3$, $x = -9$
20. $x^2 + 2x - 3 = 0$
Factor: $(x + 3)(x - 1) = 0$
Solutions: $x = -3$, $x = 1$
Parent Tip: Review the logic above to help your child master the concept of solve quadratic equations worksheet.
