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

The base of a triangle is 10 cm and its height is 6 cm. What is its area?

View Question

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

View Question

If the sides of a triangle are 6 cm, 8 cm, and 10 cm, what is the area of the triangle?

View Question

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

View Question

If a rectangle has a length of 10 cm and a width of 6 cm, what is its perimeter?

View Question

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

View Question

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

View Question

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

View Question

What is the HCF of 72 and 120?

View Question

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

View Question