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 area of a circle with a diameter of 14 cm?

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

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The LCM of two numbers is 60, and their HCF is 5. If one of the numbers is 20, what is the other number?

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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 value of x if log(x) + log(4) = log(32)?

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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 x:y = 2:3 and z:y = 4:3, what is x:z?

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If x^2 - 6x + 9 = 0, what is the value of x?

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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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A car covers a distance of 150 km in 2.5 hours. What is its average speed?

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