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

View Question

If a number is divisible by 9, it is also divisible by which of the following?

View Question

If the cost price of an item is Rs. 400 and the selling price is Rs. 500, what is the profit percentage?

View Question

If a = 5 and b = 12, what is the length of the hypotenuse of a right triangle?

View Question

The probability of getting an even number when rolling a die is:

View Question

How many diagonals does a pentagon have?

View Question

What is the area of an equilateral triangle with side length 10 cm?

View Question

If x:y = 4:5 and y:z = 2:3, what is x:z?

View Question

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

View Question

The sides of a triangle are 5 cm, 12 cm, and 13 cm. What type of triangle is it?

View Question