Mastering Algebraic Fractions
Mathematics
Grade 6
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About This Worksheet
A worksheet covering Algebraic Fractions for Grade 6 students. This worksheet introduces basic concepts and progresses to reasoning and real-world applications.
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Mastering Algebraic Fractions
Subject: MathematicsGrade: Grade 6
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Date:
Untitled Worksheet
Grade Grade 6
A
Introduction
Review the key concept: An algebraic fraction is a fraction where the numerator and/or denominator contain variables. Simplifying involves dividing common factors.
B
Practice Questions
Answer all questions. Show your working in the grid spaces provided.
1.
Simplify the algebraic fraction: (3x/6x).
[1 mark]2.
Simplify the expression: (4a/2a).
[1 mark]3.
Express the sum: (x/4) + (x/4).
[2 marks]4.
Divide the algebraic fraction: (6y^2/3y).
[2 marks]5.
What is the simplified form of (10z / 5z)?
[1 mark]6.
Simplify: (x^2/2x).
[2 marks]7.
If (a/2) = 6, find the value of a.
[2 marks]8.
Solve for x: (x/3) = 4.
[2 marks]9.
A rectangle has sides expressed as (x + 2) and (x). Write an expression for its area in terms of x.
[3 marks]10.
A recipe requires (3/4) cup of sugar, and you want to double it. Write the new amount as an algebraic expression.
[3 marks]11.
Challenge: A car travels a distance expressed as (60x) miles in x hours. If the speed is constant, what is the average speed in miles per hour? Express your answer as an algebraic fraction.
[4 marks]12.
Real-world: A gardener plants (2x/4) rows of flowers, and each row has x flowers. Write an expression for the total number of flowers planted.
[4 marks]Quick Actions
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Details
- Created
- 12/30/2025
- Updated
- 12/30/2025
- Type
- worksheet