IGCSE Mathematics Quiz: Algebra and Functions

Test Your Algebra Skills

Answer these 10 IGCSE-style algebra questions. Check your answers below. Aim to complete this quiz in 15 minutes without a calculator.

Questions

1. Simplify: 3x² − 5x + 2x² + 7x

2. Solve: 4(2x − 3) = 20

3. Factorise: x² − 7x + 12

4. Solve simultaneously: 2x + y = 10 and x − y = 2

5. Make r the subject of: A = πr²

6. Expand and simplify: (2x + 3)(x − 4)

7. If f(x) = 3x − 1, find f(−2)

8. Solve: x² − 5x − 6 = 0

9. Write in standard form: 0.0000342

10. Find the gradient of the line 3x + 4y = 12

Answers

1) 5x² + 2x 2) x = 4 3) (x−3)(x−4) 4) x=4, y=2 5) r = √(A/π) 6) 2x²−5x−12 7) −7 8) x=6 or x=−1 9) 3.42×10⁻⁵ 10) −¾