Solve the following questions. Show all necessary steps. Focus on evaluating, simplifying, and solving algebraic expressions and equations.
📘 Section A: Evaluate the Expression
Q1. Evaluate: 3x + 2y when x = 2, y = 4
Q2. Evaluate: 5a - 3b + 7 when a = 1, b = 2
Q3. Evaluate: 4m^2 + 6n when m = 3, n = 2
Q4. Evaluate: (2x + 3)^2 when x = 1
Q5. Evaluate: \dfrac{2a + 3b}{b} when a = 4, b = 2
Q6. Evaluate: 7x - 4y + 9 when x = 1, y = 3
Q7. Evaluate: a^2 + b^2 when a = 5, b = 12
Q8. Evaluate: 2(x^2 + 3x + 2) when x = 2
Q9. Evaluate: x^2 - 4x + 4 when x = 3
Q10. Evaluate: 6 + 3(2x - 1) when x = 2
📗 Section B: Simplify the Expression
Q11. Simplify: 2x + 3x - 4 + 5
Q12. Simplify: 5a - 3a + 2a - 4a
Q13. Simplify: x^2 + 2x + 3x^2 - x + 1
Q14. Simplify: 2(x + 3) + 4(x - 2)
Q15. Simplify: 7y - (3y - 5)
Q16. Simplify: 4a - 2(3a - 1)
Q17. Simplify: 3x^2 - 2x^2 + x - x + 5
Q18. Simplify: 2(3x + 4) - 5(x - 1)
Q19. Simplify: (x + 2)^2
Q20. Simplify: 6a + 3(2a - 1)
📙 Section C: Solve the Equation
Q21. Solve: x + 5 = 12
Q22. Solve: 3x - 4 = 11
Q23. Solve: 2(x + 3) = 16
Q24. Solve: 5x + 2 = 3x + 8
Q25. Solve: \dfrac{x}{3} + 2 = 5
Q26. Solve: 4x - 7 = 2x + 5
Q27. Solve: 2x - 3 = 7x + 2
Q28. Solve: \dfrac{2x - 3}{5} = 1
Q29. Solve: 6 - (x - 2) = 3x
Q30. Solve: 7x + 4 = 3(x + 2) + x
✅ Answer Key
Q1. 14
Q2. 6
Q3. 48
Q4. 25
Q5. 5
Q6. 4
Q7. 169
Q8. 28
Q9. 1
Q10. 12
Q11. 5x + 1
Q12. 0
Q13. 4x^2 + x + 1
Q14. 6x - 2
Q15. 4y + 5
Q16. -2a + 2
Q17. x^2 + 5
Q18. x + 13
Q19. x^2 + 4x + 4
Q20. 12a - 3
Q21. x = 7
Q22. x = 5
Q23. x = 5
Q24. x = 3
Q25. x = 9
Q26. x = 6
Q27. x = -1
Q28. x = 4
Q29. x = 1
Q30. x = 1