ALGEBRA

Algebra - High School Revision Questions

1. Simplify: 3x + 7x − 2x.
2. Factorize: x² − 5x + 6.
3. Solve for x: 2x − 3 = 9.
4. Factorize completely: x² − 16.
5. Expand and simplify: (x − 3)(x + 5).
6. Solve: 3(x + 2) = 18.
7. If 2x + y = 14 and x − y = 2, find the values of x and y.
8. Factorize: 3x² + 2x − 1.
9. Simplify: (2x²y)(−3xy²).
10. Solve for x: x² − 9x + 20 = 0.
11. If x = 2 and y = −1, evaluate 2x² + 3xy − y².
12. Factor completely: x² − 10x + 25.
13. Simplify: (3x² + 5x − 2) − (x² − 3x + 4).
14. Find the value of x: (x − 4)(x + 2) = 0.
15. Expand: (2x − 1)(x + 3).
16. Make x the subject: y = 2x − 5.
17. Solve the equation: x/3 + 2 = 5.
18. Factorize: 2x² + 7x + 3.
19. Simplify: (4x² − 9) ÷ (2x − 3).
20. If a + b = 7 and ab = 10, find a² + b².
21. Find the values of x that satisfy: x² + 2x = 15.
22. Factor: x³ − 8.
23. Solve: 2x + 1 > 5.
24. Solve the simultaneous equations: 3x + y = 11 and 2x − y = 4.
25. Make t the subject: A = ½gt².
26. Expand and simplify: (x + 2)² − (x − 3)².
27. If f(x) = x² − 3x + 2, find f(4).
28. Solve: (x + 1)/(x − 2) = 3.
29. Factor completely: 4x² − 25.
30. If x² − y² = 45 and x − y = 3, find x + y.

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