ALGEBRA REVISION QUESTIONS WITH ANSWERS

1. Solve for \( x \): \( 3x - 7 = 11 \)
2. Factorize: \( x^2 - 5x + 6 \)
3. Simplify: \( (2x + 3)(x - 4) \)
4. Expand: \( (x - 2)^2 \)
5. Solve for \( x \): \( 2x + 3 = 3x - 4 \)
6. Factorize: \( x^2 - 9 \)
7. If \( x = 3 \), evaluate \( x^2 - 2x + 1 \)
8. Simplify: \( \frac{3x^2}{x} \)
9. Factor completely: \( x^2 + 4x + 4 \)
10. Find the value of \( x \) if \( x^2 = 49 \)
11. Expand and simplify: \( (x+5)(x-2) \)
12. Solve for \( x \): \( \frac{x}{3} + 1 = 4 \)
13. Simplify: \( x(x+2) - 3(x+2) \)
14. Factor: \( 2x^2 - 8x \)
15. Solve: \( x^2 - 4x = 0 \)
16. Simplify: \( \frac{4x^2 - 9}{2x + 3} \)
17. Find the roots of \( x^2 + 6x + 9 = 0 \)
18. Evaluate: \( (x+2)^2 \) when \( x = -3 \)
19. Factor: \( x^2 - 2x - 15 \)
20. Solve: \( \frac{2x - 1}{3} = 5 \)
21. Simplify: \( (x + 3)^2 - (x - 1)^2 \)
22. Factor: \( x^2 - 16 \)
23. Solve for \( x \): \( x^2 = 2x \)
24. Solve: \( 3(x - 1) = 2x + 4 \)
25. Factorize: \( 4x^2 - 25 \)
26. Simplify: \( \frac{x^2 - 4}{x - 2} \)
27. Solve: \( x^2 + x - 6 = 0 \)
28. Expand: \( (2x - 5)^2 \)
29. Simplify: \( (x^2 - 1)(x + 1) \)
30. Solve: \( \frac{2x + 1}{x} = 3 \)

Answers

1. \( x = 6 \)
2. \( (x - 2)(x - 3) \)
3. \( 2x^2 - 5x - 12 \)
4. \( x^2 - 4x + 4 \)
5. \( x = 7 \)
6. \( (x - 3)(x + 3) \)
7. \( 4 \)
8. \( 3x \)
9. \( (x + 2)^2 \)
10. \( x = \pm7 \)
11. \( x^2 + 3x - 10 \)
12. \( x = 9 \)
13. \( (x - 3)(x + 2) \)
14. \( 2x(x - 4) \)
15. \( x = 0 \) or \( x = 4 \)
16. \( 2x - 3 \)
17. \( x = -3 \)
18. \( 1 \)
19. \( (x - 5)(x + 3) \)
20. \( x = 8 \)
21. \( 8x + 16 \)
22. \( (x - 4)(x + 4) \)
23. \( x = 0 \) or \( x = 2 \)
24. \( x = 7 \)
25. \( (2x - 5)(2x + 5) \)
26. \( x + 2 \)
27. \( (x - 2)(x + 3) \), so \( x = 2 \) or \( -3 \)
28. \( 4x^2 - 20x + 25 \)
29. \( (x - 1)(x + 1)(x + 1) = (x^2 - 1)(x + 1) \)
30. \( x = 1 \)