Topic Details (Notes format)

How to Add and Subtract Rational Expressions

Subject: Mathematics

Book: Maths Mastery

Adding and subtracting rational expressions parallels fraction operations: find a common denominator, combine numerators, and simplify. For instance, (x/(x + 2)) – (3/(x – 4)) requires an LCM of (x + 2)(x – 4). The resulting expression might then factor or simplify further. Keeping track of restricted values (where denominators are zero) is essential. This skill is key in advanced algebra, engineering formulas, or any scenario mixing polynomial-based rates. Building fluency ensures complex expressions don’t overwhelm you, allowing deeper exploration of functional relationships.

Practice Questions

If the sides of a triangle are 6 cm, 8 cm, and 10 cm, what is the area of the triangle?

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If x^2 - 5x + 6 = 0, what are the roots?

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What is the sum of the first 50 positive integers?

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What is the sum of the interior angles of a hexagon?

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What is the area of an equilateral triangle with side length 10 cm?

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If 8x = 512, what is the value of x?

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If x - y = 5 and x + y = 15, what is the value of x?

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If a:b = 3:4 and b:c = 5:6, what is a:c?

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If x + 1/x = 5, what is the value of x^2 + 1/x^2?

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What is the sum of all odd numbers from 1 to 99?

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