Instead of translating the whole equation at one time, translate the first expression, the equal sign, and then the second expression. In an equation, it is placed between two expressions that have the same value, or for which one studies the conditions under which they have the same value. Note: c is the longest side of the triangle a and b are the other two sides Definition. Often, in mathematics, breaking the problem up into smaller pieces can increase your success. The equals sign (British English) or equal sign (American English), also known as the equality sign, is the mathematical symbol, which is used to indicate equality in some well-defined sense. It is called 'Pythagoras Theorem' and can be written in one short equation: a 2 + b 2 c 2. Note: The first expression is translated, then the equal sign is translated, and then the expression on the right of the equal sign. What operation should replace AND in this equation? The leading keyword, PRODUCT OF, indicates the eight is multiplied by a number. Remember: Mark the turnaround word to remind you to translate in the correct order.Ĭheck more of your translation abilities with Example 3.Įxample 3: Translate the following statement into an equation: The product of eight and a number yields twenty‐four. When a number directly follows IS, however, IS does indicate equality. Any IS placed directly in front of a keyword for an operation does not indicate equality. The second IS is the only one translated to the = symbol. In a translation problem, you may see more than one IS, as Example 2 demonstrates.Įxample 2: Translate the following sentences into an algebraic equation: When a number is subtracted from twelve, the result is five.What is the number? One of the most confusing keywords indicating equality is IS. Translate the equation.The equation translates to 2( x − 5) = −14. The expression on the left side of the equation does not have to be turned around with the expression on the right side.Ĥ. Remember that the direct translation strategy works for all the equality keywords. Note: The TO that is part of IS EQUAL TO is not a turnaround word. Use an arrow to remind you that AND is replaced by a minus sign. Underline the two expressions to be subtracted as indicated by the leading keyword, DIFFERENCE BETWEEN.ģ. Twice (the difference between a number and five) is equal to negative fourteen.Ģ. Put an open parenthesis between the adjacent keywords and close the parentheses before IS. Did you notice the adjacent keywords, the leading keywords, and the IS? Here's how you make the appropriate markings:ġ. Start by making the appropriate markings on the English sentence as you read it. The equal sign is placed exactly where the keyword is located.Įxample 1: Translate the following sentence into an algebraic equation: Twice the difference between a number and five is equal to negative fourteen The direct translation strategy works for all the equality keywords, which means you do not need to change the order. The following keywords indicate equality and, when translated, become the equal symbol, =. Many people agree that, in comparison to setting up the correct equation, solving the equation is easy. One of the hardest parts of solving word problems is creating the correct equation after reading the problem.
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