Mastering Formulae

Mathematics
Grade 8
11 questions
~22 mins
0 views0 downloads

About This Worksheet

A worksheet covering key algebra formulae for Grade 8 students, focusing on understanding and applying formulae effectively.

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Mastering Formulae

Subject: MathematicsGrade: Grade 8
Name:
Date:

Untitled Worksheet

Grade Grade 8
A

Practice Questions

Answer all questions. Show your working in the grid spaces provided.
1.
Simplify the expression: (3x + 5) + (2x - 4).
[2 marks]
2.
Factorize the quadratic: x^2 + 5x + 6.
[2 marks]
3.
Solve for x: 2x - 7 = 3x + 2.
[3 marks]
4.
Express y in terms of a and b from the formula: y = 3a + 2b.
[2 marks]
5.
If the formula for the area of a rectangle is A = l × w, what is the width w in terms of A and l?
[2 marks]
6.
Given the formula for the volume of a cube: V = a^3, find the side length a when V = 64.
[3 marks]
7.
A car’s fuel efficiency is given by the formula: fuel used = distance / efficiency. If a car travels 300 km with an efficiency of 15 km/l, how much fuel is used?
[3 marks]
8.
Solve for x: (x + 4)(x - 2) = 0.
[2 marks]
9.
A rectangle has length 5x + 3 and width 2x - 1. Write an expression for its perimeter.
[2 marks]
10.
Challenge: The sum of the squares of two numbers is 50. One number is twice the other. Find the numbers.
[4 marks]
11.
Real-world application: A garden is in the shape of a rectangle. If the length is 3 times the width and the total area is 108 square meters, find the length and width of the garden.
[4 marks]

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Details

Created
12/30/2025
Updated
12/30/2025
Type
worksheet