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

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

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If a = 2 and b = 3, what is the value of (a^2 + b^2)?

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The sum of the reciprocals of two numbers is 1/4. If one number is 12, what is the other?

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A man invests Rs. 5000 at 5% per annum simple interest. What is the total amount after 3 years?

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The angles of a quadrilateral are in the ratio 3:4:5:6. What is the largest angle?

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If a square has a perimeter of 64 cm, what is its area?

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What is the sum of the first 50 positive integers?

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What is the value of x if 3x + 7 = 16?

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A square is inscribed in a circle with a radius of 5 cm. What is the area of the square?

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If a cone has a base radius of 3 cm and height of 4 cm, what is its slant height?

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