Forming Simple Equations
Learning to translate word statements into simple algebraic equations.
Core concept
Translating word problems into equations requires carefully identifying the unknown quantity (assigning it a variable, like x), and correctly representing the relationships and operations described in words using mathematical symbols. Common phrases have standard translations: 'increased by' or 'more than' typically means addition, 'decreased by' or 'less than' means subtraction, 'times' or 'product of' means multiplication, and 'equals' or 'is' means the equals sign — mastering these translations is the essential first step before an equation can be solved.
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• An equation states two expressions are equal, connected by an equals sign.
• 'A number increased by 5 equals 12' translates to x+5=12.
• Common word-to-symbol translations: 'increased by'=addition, 'decreased by'=subtraction, 'times'=multiplication.
• Correctly identifying the unknown and translating relationships is the first step in solving word problems.