Ch 4 introduces algebraic equations — mathematical statements where two expressions are equal. Students learn to set up equations from word problems, solve them using transposition and the balance method, and verify solutions.
An equation is a statement of equality between two expressions containing one or more variables. To set up an equation from a word problem: identify the unknown, assign it a variable, and translate the relationships into mathematical form.
The balance method: whatever you do to one side, do the same to the other. Transposition: move a term from one side to the other by changing its sign (+ to − or × to ÷). The goal is to isolate the variable.
Simple equations model real-world problems: age problems, consecutive number problems, coin problems, and perimeter problems. Always verify your answer by substituting back into the original equation.
Download: https://ncert.nic.in/textbook/pdf/gemh104.pdf | Complete book: https://ncert.nic.in/textbook/pdf/gemh1ps.zip
Transposition means moving a term from one side of an equation to the other. When transposing, the operation changes: addition becomes subtraction, multiplication becomes division, and vice versa.
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