Basic Solving Practice

Solve for $x$.

1. $2x + 3 = 7$

2. $4x - 5 = 15$

3. $\frac{3x}{2} + 4 = 10$

4. $5x - 2 = 3x + 6$

5. $7 - x = 2x + 8$

6. $\frac{x - 1}{3} = 2$

7. $6x + 5 = 2x + 17$

8. $3(x - 4) = 2x + 1$

9. $2(x + 3) - 4 = 10$

10. $\frac{5x + 2}{4} = 3$

11. $8 - \frac{x}{2} = 3$

12. $4x + 7 = 3(x - 2)$

13. $2(x + 5) = 3x - 4$

14. $\frac{2x - 3}{5} = \frac{x + 1}{2}$

15. $6x - 8 = 4x + 10$

16. $\frac{3x + 4}{2} - 5 = 7$

17. $9 - \frac{2x}{3} = 1$

18. $4(x - 2) + 3 = 5x - 1$

19. $\frac{5x + 3}{3} = 2x + 1$

20. $7x - 4 = 3x + 12$

Solve the quadratic equations.

1. $x^2 - 5x + 6 = 0$

2. $x^2 + 4x - 12 = 0$

3. $2x^2 - 8x + 6 = 0$

4. $x^2 - 9 = 0$

5. $3x^2 + 2x - 8 = 0$

6. $x^2 + 6x + 9 = 0$

7. $4x^2 - 4x - 8 = 0$

8. $x^2 - 4x - 5 = 0$

9. $2x^2 + 3x - 2 = 0$

10. $x^2 - 2x - 15 = 0$

11. $x^2 + 2x - 35 = 0$

12. $3x^2 - 14x + 8 = 0$

13. $5x^2 - 20 = 0$

14. $x^2 + 8x + 16 = 0$

15. $2x^2 - 5x + 3 = 0$

16. $x^2 - 6x + 8 = 0$

17. $4x^2 + 7x - 2 = 0$

18. $x^2 - 3x - 10 = 0$

19. $3x^2 + x - 4 = 0$

20. $x^2 + 5x + 6 = 0$

Solve the absolute value equations.

1. $|x - 3| = 7$

2. $|2x + 1| = 5$

3. $|x + 4| = 9$

4. $|3x - 2| = 4$

5. $|x - 5| = 3x - 7$

6. $|2x - 1| = 6$

7. $|x + 2| = |x - 4|$

8. $|x - 1| = 2x + 3$

9. $|x + 5| = 2x - 1$

10. $|3x + 4| = |x - 2|$