Ch 2 extends equation-solving to equations with the variable on both sides, equations with fractions, and more complex word problems. The chapter builds fluency in transposition and cross-multiplication.
When variables appear on both sides, transpose all variable terms to one side and constant terms to the other. Example: 5x − 3 = 3x + 7 → 5x − 3x = 7 + 3 → 2x = 10 → x = 5.
For equations with fractions, multiply both sides by the LCM of all denominators to clear fractions, then solve normally. Alternatively, use cross-multiplication for equations of the form a/b = c/d.
Translate word problems into equations: identify the unknown as a variable, express relationships as equations, solve, and verify. Common types include age problems, number problems, and geometry-based problems.
Download: https://ncert.nic.in/textbook/pdf/hemh102.pdf | Complete book: https://ncert.nic.in/textbook/pdf/hemh1ps.zip
For an equation a/b = c/d, cross-multiplication gives ad = bc. This removes the fractions and creates a simple equation to solve.
Book a Trial + Diagnostic session. Get a personalized Learning Path with clear milestones, tutor match, and a plan recommendation — all within 24 hours.
Book Trial + Diagnostic →