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 = 5 and b = 12, what is the length of the hypotenuse of a right triangle?

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

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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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What is the probability of drawing an ace from a standard deck of 52 cards?

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What is the sum of all even numbers between 1 and 50?

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

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What is the square root of 144?

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A train 120 meters long is moving at a speed of 54 km/h. How long will it take to pass a pole?

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The base of a triangle is 10 cm and its height is 6 cm. What is its area?

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What is the probability of drawing a king from a standard deck of 52 playing cards?

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