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 the ratio of two numbers is 3:5 and their HCF is 4, what are the numbers?

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If a right triangle has legs of 9 cm and 12 cm, what is the length of the hypotenuse?

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

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If sin(A) = 1/2 and A is acute, what is the value of A?

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What is the sum of the interior angles of a hexagon?

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What is the value of log₃(27)?

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If a:b = 5:7 and b:c = 6:11, what is a:c?

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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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A sum of money doubles itself in 5 years at simple interest. What is the rate of interest?

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What is the length of the diagonal of a square with a side length of 7 cm?

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