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 sum of all odd numbers from 1 to 99?

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What is the sum of all angles in a hexagon?

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The perimeter of a rectangle is 40 cm, and its length is 12 cm. What is its width?

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What is the sum of all even numbers between 1 and 100?

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If 5x - 2 = 13, what is the value of x?

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

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

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If a cone has a radius of 5 cm and a height of 12 cm, what is its slant height?

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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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What is the probability of drawing a king from a standard deck of 52 playing cards?

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