Topic Details (Notes format)

How to Simplify Algebraic Expressions

Subject: Mathematics

Book: Maths Mastery

Simplifying algebraic expressions typically involves combining like terms, factoring out common factors, and applying distributive properties. For example, if you have 3x + 5x – 2y + y, you can group x terms and y terms: (3x + 5x) + (–2y + y) = 8x – y. Also, for expressions like 4a + 12b, factor out 4: 4(a + 3b). Simplification clarifies expressions and readies them for solving equations or inequalities. This skill is crucial for tackling advanced math—like polynomials, calculus, or system modeling—and fosters clear, methodical problem-solving strategies in both academics and real-life calculations.

Practice Questions

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

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If a+b = 10 and ab = 21, what is the value of (a-b)^2?

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

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

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

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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 sum of all even numbers between 1 and 100?

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If 2x = 16, what is the value of x?

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If sin(θ) = 3/5 and θ is an acute angle, what is tan(θ)?

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The area of an equilateral triangle with side length 6 cm is:

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