Topic Details (Notes format)

How to Solve Linear Equations (Single Variable)

Subject: Mathematics

Book: Maths Mastery

Solving linear equations with one variable is a foundational algebraic skill. These typically appear in the form ax + b = c, where x is the variable to solve for. The key steps involve isolating x by reversing operations in a structured manner: subtract or add constants from both sides, then multiply or divide by the coefficient. For example, in 3x + 4 = 16, subtract 4 from both sides to get 3x = 12, then divide by 3 to find x = 4. Linear equations model numerous real-life situations, such as budgeting daily expenses, calculating distances, and analyzing rates. Proficiency with them paves the way for advanced mathematics like systems of equations and polynomials.

Practice Questions

What is the area of a sector of a circle with radius 14 cm and central angle 90°?

View Question

What is the 7th term of the arithmetic progression 3, 6, 9, 12,...?

View Question

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

View Question

If a cylinder has a radius of 7 cm and height of 10 cm, what is its volume?

View Question

What is the square root of 121?

View Question

If the sum of the squares of two consecutive positive integers is 365, what are the integers?

View Question

If 2x - 3 = 7, what is the value of x?

View Question

What is the sum of all even numbers between 1 and 50?

View Question

A cube has a side length of 4 cm. What is its volume?

View Question

The perimeter of a rectangle is 50 cm, and its length is 15 cm. What is its width?

View Question