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 a number is divisible by 9, it is also divisible by which of the following?

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

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A cube has a side length of 4 cm. What is its volume?

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If the sum of three consecutive integers is 96, what are the integers?

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A car covers a distance of 150 km in 2.5 hours. What is its average speed?

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What is the square root of 144?

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What is the remainder when 5^100 is divided by 3?

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If the product of two numbers is 120 and their sum is 26, what are the numbers?

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What is the square root of 121?

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The sides of a triangle are 13 cm, 14 cm, and 15 cm. What is its area?

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