Mastering Algebraic Fractions

Mathematics
Grade 8
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About This Worksheet

A worksheet covering Algebraic Fractions for Grade 8 students.

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Mastering Algebraic Fractions

Subject: MathematicsGrade: Grade 8
Name:
Date:

Untitled Worksheet

Grade Grade 8
A

Introduction

Review the key concepts of simplifying and manipulating algebraic fractions. Remember to factor expressions where necessary and find common denominators.
B

Practice Questions

Answer all questions. Show your working in the grid spaces provided.
1.
Simplify the algebraic fraction 2x4 \frac{2x}{4} .
[1 mark]
2.
Simplify the expression x29x3 \frac{x^2 - 9}{x - 3} .
[1 mark]
3.
Express 3x+66 \frac{3x + 6}{6} in simplest form.
[1 mark]
4.
Factor the numerator of x2+5x+6x+2 \frac{x^2 + 5x + 6}{x + 2} .
[2 marks]
5.
Calculate the value of 4x2 \frac{4x}{2} when x=3 x=3 .
[1 mark]
6.
Solve for x x : x3=46 \frac{x}{3} = \frac{4}{6} .
[2 marks]
7.
Simplify x216x4 \frac{x^2 - 16}{x - 4} .
[1 mark]
8.
Express 2x2+8x4x \frac{2x^2 + 8x}{4x} in simplest form.
[1 mark]
9.
Solve: x+1x1=2 \frac{x+1}{x-1} = 2 .
[2 marks]
10.
If 3xx+2=2 \frac{3x}{x+2} = 2 , find the value of x x .
[2 marks]
11.
A rectangle has length 2x+3 2x + 3 and width x1 x - 1 . Write an expression for its area in terms of x x .
[2 marks]
12.
Challenge: A student simplifies x24x+2 \frac{x^2 - 4}{x+2} . What is the simplified form? Explain the steps.
[3 marks]

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Details

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