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 quadratic formula: x = [-b ± √(b² - 4ac)] / 2a. Understand how to factor quadratic expressions and solve for x in various forms.
B
Practice Questions
Answer all questions. Show your working in the grid spaces provided.
1.
Factor the quadratic expression: x² + 5x + 6
[2 marks]2.
Solve for x: x² - 9 = 0
[2 marks]3.
Complete the square to solve: x² + 4x = 1.
[3 marks]4.
Use the quadratic formula to solve: 2x² + 3x - 2 = 0.
[3 marks]5.
Factor: 3x² - 12
[2 marks]6.
Solve for x: x² + 2x - 8 = 0
[2 marks]7.
Determine whether x = 1 is a solution of x² - 2x + 1 = 0.
[1 mark]AYes
BNo
8.
Verify the roots of x² - 4x + 4 = 0.
[3 marks]9.
A ball is thrown upwards with a height modeled by h(t) = -5t² + 10t + 2. Find the time when the ball reaches its maximum height.
[4 marks]10.
A rectangular garden's area is modeled by the quadratic expression A(x) = x² + 5x, where x is the length of one side in meters. Find the dimensions that maximize the area.
[4 marks]Quick Actions
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Details
- Created
- 12/30/2025
- Updated
- 12/30/2025
- Type
- worksheet