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

If a cone has a radius of 5 cm and a height of 12 cm, what is its slant height?

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A triangle has angles 60°, 60°, and 60°. What type of triangle is it?

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What is the cube of 4?

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If a:b = 7:9 and b:c = 5:6, what is a:c?

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How many diagonals does a pentagon have?

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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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What is the sum of all odd numbers from 1 to 99?

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

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What is the probability of drawing an ace from a standard deck of 52 cards?

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If two complementary angles differ by 30°, what are the angles?

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