Mastering Formulae: Algebra for Grade 8
Mathematics
Grade 8
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A worksheet covering fundamental and applied algebraic formulae for Grade 8 students to strengthen their understanding and problem-solving skills.
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Mastering Formulae: Algebra for Grade 8
Subject: MathematicsGrade: Grade 8
Name:
Date:
Untitled Worksheet
Grade Grade 8
A
Introduction
Review the basic algebraic formulae: area of a rectangle (A = l × w), area of a triangle (A = ½ × b × h), and the quadratic formula. Use these to solve the following questions.
B
Practice Questions
Answer all questions. Show your working in the grid spaces provided.
1.
Calculate the area of a rectangle with length 12 cm and width 5 cm.
[2 marks]2.
Find the area of a triangle with base 10 m and height 6 m.
[2 marks]3.
Simplify the expression: 3(2x + 4) - 5x.
[3 marks]4.
Express the formula for the area of a rectangle in terms of l and w.
[2 marks]5.
If the length of a rectangle is doubled, how does the area change?
[1 mark]AIt halves
BIt stays the same
CIt doubles
DIt quadruples
6.
Solve for x: 2x + 5 = 15.
[2 marks]7.
A rectangle has an area of 48 cm². If the length is 8 cm, what is the width?
[2 marks]8.
The length of a rectangle is 10 m, and its area is 50 m². Find its width.
[2 marks]9.
Using the quadratic formula, solve x² - 4x - 5 = 0.
[4 marks]10.
A square has an area of 81 m². Find the length of its sides.
[2 marks]11.
Challenge: A garden is in the shape of a rectangle. Its length is 15 meters more than its width. If the area is 240 m², find the dimensions of the garden.
[5 marks]12.
Real-world application: A billboard is rectangular with a length of 20 meters and a height of 8 meters. Calculate its area and suggest how many posters of 2 m x 2 m can fit on it without overlap.
[5 marks]Quick Actions
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Details
- Created
- 12/30/2025
- Updated
- 12/30/2025
- Type
- worksheet