1. Expand: (x + 3)(x + 4). (2 marks)
Edexcel IGCSEworksheethard
Quadratic Equations Intro
Factorise and solve simple quadratic equations.
Mathematics · Algebra · Year 11 · 35 mins · 24 marks · 10 questions
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Expand: (x + 3)(x + 4). (2 marks)
Factorise: x² + 5x + 6. (2 marks)
Solve: x² − 9 = 0. (2 marks)
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2. Factorise: x² + 5x + 6. (2 marks)
- (x + 2)(x + 3)
- (x + 1)(x + 6)
- (x − 2)(x − 3)
- (x + 6)(x − 1)
3. Solve: x² − 9 = 0. (2 marks)
4. Solve: x² + 2x − 15 = 0. (3 marks)
5. The solutions of x² − 5x + 6 = 0 are: (2 marks)
- x = 2 and x = 3
- x = −2 and x = −3
- x = 1 and x = 6
- x = −1 and x = 6
6. Complete the square: x² + 6x + 5 = (x + 3)² + k. Find k. (3 marks)
7. Using the quadratic formula, the discriminant of x² − 4x + 1 = 0 is: (2 marks)
8. If a quadratic has discriminant 0, the equation has: (2 marks)
- Two distinct real roots
- One repeated real root
- No real roots
- Infinitely many roots
9. Solve: 2x² − 8 = 0. (3 marks)
10. Sketching y = x² − 4, the y-intercept is: (3 marks)
Show answer key
- 1. x² + 7x + 12
- 2. (x + 2)(x + 3)
- 3. x = 3 or x = −3
- 4. x = 3 or x = −5
- 5. x = 2 and x = 3
- 6. −4
- 7. 12
- 8. One repeated real root
- 9. x = 2 or x = −2
- 10. −4
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