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 2x = 16, 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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The simple interest on Rs. 4000 at 5% per annum for 2 years is:

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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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The LCM of two numbers is 60, and their HCF is 5. If one of the numbers is 20, what is the other number?

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The perimeter of a rectangle is 40 cm, and its length is 12 cm. What is its width?

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If a person can type 45 words per minute, how many words can they type in 2 hours?

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What is the sum of all even numbers between 1 and 100?

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A triangle has angles 60°, 60°, and 60°. What type of triangle is it?

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If a cone has a radius of 5 cm and a height of 12 cm, what is its slant height?

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