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

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

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

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The sides of a triangle are 13 cm, 14 cm, and 15 cm. What is its area?

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If the perimeter of a square is 36 cm, what is the length of its diagonal?

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If the average of five consecutive odd numbers is 25, what is the largest number?

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A cone has a base radius of 7 cm and height of 24 cm. What is its volume?

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If sin(θ) = 0.6 and θ is acute, what is cos(θ)?

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The probability of rolling a sum of 7 with two dice is:

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If a:b = 2:3 and b:c = 4:5, what is a:c?

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A cube has a side length of 4 cm. What is its volume?

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