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 x + 1/x = 5, what is the value of x^2 + 1/x^2?

View Question

What is the LCM of 15 and 20?

View Question

What is the cube of 4?

View Question

If the sum of three consecutive integers is 96, what are the integers?

View Question

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

View Question

The LCM of 12 and 15 is:

View Question

A car travels 240 km in 4 hours. What is its average speed?

View Question

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

View Question

If sin(x) = 3/5 and x is in the first quadrant, what is cos(x)?

View Question

The ratio of two numbers is 3:5, and their sum is 64. What are the numbers?

View Question