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

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 sum of all even numbers between 1 and 100?

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What is the square root of 0.25?

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If x^2 + 4x + 4 = 0, what is the value of x?

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If x² - 9x + 18 = 0, what are the roots of the equation?

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If 3x = 81, what is the value of x?

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If log(100) = 2 and log(10) = 1, what is log(1000)?

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If a square has a perimeter of 64 cm, what is its area?

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The base of a triangle is 10 cm and its height is 6 cm. What is its area?

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What is the sum of all angles in a hexagon?

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