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

What is the sum of all angles in a hexagon?

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The sides of a triangle are 7, 24, and 25. Is this a right triangle?

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

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If a person can type 45 words per minute, how many words can they type in 2 hours?

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How many ways can 4 people sit in a row?

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A sum of money triples itself in 12 years at simple interest. What is the rate of interest per annum?

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A square is inscribed in a circle with a radius of 5 cm. What is the area of the square?

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If the probability of an event is 1/4, what is the probability of its complement?

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If x = 3 and y = 4, what is the value of x^2 + y^2?

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What is the square root of 144?

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