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 x = 2 and y = 3, what is the value of (x^2 + y^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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If the radius of a circle is doubled, what happens to its area?

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If 2a + b = 10 and a - b = 4, what is the value of a?

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

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

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What is the greatest common divisor (GCD) of 36 and 48?

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A sum triples in 20 years at simple interest. What is the rate of interest per annum?

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A man rows downstream at 6 km/h and upstream at 4 km/h. What is the speed of the stream?

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What is the LCM of 15 and 20?

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