Solving equations is a fundamental skill for the CAT Quantitative Aptitude section. This guided path will take you from the core mechanics of linear equations to the advanced strategies for analyzing the roots of quadratic equations, building the algebraic fluency required for a top score.
Start with the fundamental skill of isolating a variable. Our interactive balancer visually demonstrates the step-by-step process of solving any linear equation.
Learn the crucial skill of deconstructing a word problem and translating its language into a solvable algebraic equation.
Master the two essential algebraic methods—Substitution and Elimination—for finding a unique solution for a system of two linear equations.
Start with the core definition and use our interactive verifier to understand what the "roots" of a quadratic equation represent.
Learn the step-by-step process of factoring quadratic expressions to find the roots of an equation.
Master the universal tool for solving any quadratic equation. Our interactive calculator shows you how to apply the formula step by step.
Learn how the discriminant (b²-4ac) tells you if an equation has 2, 1, or 0 real roots without fully solving it—a critical logical shortcut.
Learn the formulas for finding the sum (-b/a) and product (c/a) of the roots *without* solving the equation, a vital time-saver.
Learn the complete method for solving quadratic inequalities by finding critical points and testing regions on a number line.
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