Mastering Algebraic Fractions
Mathematics
Grade 7
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About This Worksheet
A worksheet covering Algebraic Fractions for Grade 7 students.
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Mastering Algebraic Fractions
Subject: MathematicsGrade: Grade 7
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Date:
Untitled Worksheet
Grade Grade 7
A
Introduction
Review the basic concept of algebraic fractions: an algebraic expression where a numerator and denominator are algebraic terms. Simplify fractions by factoring and canceling common factors.
B
Practice Questions
Answer all questions. Show your working in the grid spaces provided.
1.
Simplify the algebraic fraction: (3x^2) / (6x).
[1 mark]2.
Simplify the fraction: (x^3 - x) / (x).
[1 mark]3.
Express as a simplified algebraic fraction: (2a^2 + 4a) / (2a).
[1 mark]4.
Add the fractions: (x / 3) + (2x / 3).
[2 marks]5.
Subtract the fractions: (5x / 6) - (x / 6).
[2 marks]6.
Multiply the fractions: (x/2) * (4/x).
[2 marks]7.
Divide the fractions: (3x / 4) ÷ (x / 2).
[2 marks]8.
Simplify: (x^2 - 1) / (x + 1).
[2 marks]9.
Factor the numerator: x^2 - 9, then simplify the fraction (x^2 - 9) / (x - 3).
[3 marks]10.
Solve for x: (x / (x + 2)) = 3/4.
[3 marks]11.
A rectangle has length (x + 2) and width (x - 1). Write an expression for its area as a fraction in terms of x, and simplify if possible.
[4 marks]12.
A recipe calls for (2a / (a + 1)) cups of sugar. If you want to double the recipe, how much sugar do you need in terms of a? Write your answer as a simplified algebraic fraction.
[4 marks]Quick Actions
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Details
- Created
- 12/30/2025
- Updated
- 12/30/2025
- Type
- worksheet