Topic Details (Notes format)

How to Approach Algebraic Word Problems

Subject: Mathematics

Book: Maths Mastery

Algebraic word problems typically revolve around forming one or more equations based on a scenario. The steps: define variables, translate sentences into expressions, and solve systematically. For example: “A number is 5 less than twice another. If the sum is 23, find the numbers.” Let x be the first number, y the second. Then x = 2y – 5, x + y = 23. Solve to get y=14, x=23–14=9. Understanding how to parse language into algebraic form is pivotal in advanced mathematics, finance, or logical puzzles, turning everyday challenges into solvable equations.

Practice Questions

The LCM of 12 and 15 is:

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What is the sum of the first 50 positive integers?

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The sum of the squares of two consecutive integers is 145. What are the integers?

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The perimeter of a rectangle is 50 cm, and its length is 15 cm. What is its width?

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What is the area of a circle with a diameter of 14 cm?

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What is the 7th term of the arithmetic progression 3, 6, 9, 12,...?

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

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If the radius of a circle is 7 cm, what is its circumference?

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If a cone has a base radius of 3 cm and height of 4 cm, what is its slant height?

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

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