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

A sphere has a radius of 7 cm. What is its volume?

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

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

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

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

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If x^2 + 4x + 4 = 0, what is the value of x?

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What is the HCF of 72 and 120?

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

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

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A sum triples in 20 years at simple interest. What is the rate of interest per annum?

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