Mastering Quadratic Equations
Mathematics
Year 9
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About This Worksheet
A worksheet covering Quadratic Equations for Year 9 students, focusing on solving and applying quadratic formulas.
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Mastering Quadratic Equations
Subject: MathematicsGrade: Year 9
Name:
Date:
Untitled Worksheet
Grade Year 9
A
Introduction
Review the quadratic formula: x = [-b ± √(b² - 4ac)] / 2a. Remember to identify coefficients a, b, and c from the quadratic equation ax² + bx + c = 0.
B
Practice Questions
Answer all questions. Show your working in the grid spaces provided.
1.
Solve for x: x² + 5x + 6 = 0.
[2 marks]2.
Factorize the quadratic expression: 2x² - 8x.
[2 marks]3.
Complete the square for the quadratic: x² + 6x + 5.
[3 marks]4.
Use the quadratic formula to solve: 3x² - 2x - 1 = 0.
[3 marks]5.
Determine the roots of the quadratic: 4x² + 4x + 1 = 0.
[2 marks]6.
Expand and simplify: (x + 3)(x - 2).
[2 marks]7.
Find the value of x if x² - 9 = 0.
[2 marks]8.
A quadratic function has roots at x = 2 and x = -4. Write its quadratic equation in standard form.
[3 marks]9.
Determine the vertex of the parabola y = x² + 4x + 1.
[3 marks]10.
A ball is thrown, and its height h (in meters) after t seconds is given by h = -5t² + 10t + 2. Find the time when the ball reaches its maximum height.
[3 marks]Quick Actions
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Details
- Created
- 12/30/2025
- Updated
- 12/30/2025
- Type
- worksheet