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 area of a circle with a diameter of 14 cm?

View Question

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

View Question

The sides of a triangle are 13 cm, 14 cm, and 15 cm. What is its area?

View Question

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

View Question

What is the value of x if 3x + 7 = 16?

View Question

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

View Question

What is the length of the diagonal of a square with a side length of 7 cm?

View Question

The sum of the reciprocals of two numbers is 1/4. If one number is 12, what is the other?

View Question

If sin(A) = 1/2 and A is acute, what is the value of A?

View Question

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

View Question