Class 8 Math: Introduction to Graphs Shortcut Methods & Tricks

In mathematics exams, time is your most valuable asset. Learning shortcut methods and mental calculation tricks for Introduction to Graphs can save you minutes per question, giving you ample time to review your answers and tackle difficult problems.

Syllabus Shortcut Methods

Sum and Product of Quadratic Roots

For ax² + bx + c = 0, the sum of roots is -b/a and product is c/a. Use this to verify your factorized solutions instantly.

Plugging in Simple Numbers

In algebra MCQ options, substitute x = 0, 1, or -1 to eliminate 2-3 incorrect options in seconds.

When to Use (and Avoid) Shortcuts

Shortcuts are extremely useful for multiple-choice tests (MCQs), competitive exams like Olympiads, and double-checking your work. However, in standard school tests that score steps, you should always write out the full algebraic method. Writing shortcuts without detailing steps can result in losing partial credit.