Mastering Quadratic Equations
Mathematics
Grade 8
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About This Worksheet
A worksheet covering Quadratic Equations for Grade 8 students.
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Mastering Quadratic Equations
Subject: MathematicsGrade: Grade 8
Name:
Date:
Untitled Worksheet
Grade Grade 8
A
Introduction
Review the key concept: a quadratic equation is generally written as ax^2 + bx + c = 0, where a ≠ 0. The solutions can be found using factoring, completing the square, or the quadratic formula.
B
Practice Questions
Answer all questions. Show your working in the grid spaces provided.
1.
Factorize the quadratic expression: x^2 + 5x + 6.
[2 marks]2.
Solve for x: x^2 - 4x = 0.
[3 marks]3.
Complete the square to solve: x^2 + 6x + 5 = 0.
[4 marks]4.
Identify the solutions of the quadratic equation: 2x^2 + 3x - 2 = 0.
[3 marks]5.
What is the quadratic formula used to solve equations of the form ax^2 + bx + c = 0?
[1 mark]Ax = [-b ± √(b^2 - 4ac)] / 2a
Bx = (-b ± √(b^2 + 4ac)) / 2a
Cx = (b ± √(a^2 - 4bc)) / 2a
Dx = [b ± √(b^2 - 4ac)] / 2b
6.
Determine whether x = 1 is a root of the equation: x^2 - 2x - 3 = 0.
[2 marks]7.
Solve the quadratic equation using the quadratic formula: 3x^2 + 2x - 1 = 0.
[4 marks]8.
A ball is thrown upwards with an equation of height: h = -5t^2 + 20t + 2, where t is time in seconds. Find the times when the ball reaches the ground.
[5 marks]9.
The height of a rectangular garden is modeled by the quadratic h = -2x^2 + 8x + 1, where x is the length of the side in meters. Find the maximum height of the garden.
[5 marks]Quick Actions
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Details
- Created
- 12/30/2025
- Updated
- 12/30/2025
- Type
- worksheet