One of the most confusing keywords indicating equality is IS. In a translation problem, you may see more than one IS, as Example 2 demonstrates.
Example 2: Translate the following sentences into an algebraic equation: When a number is subtracted from twelve, the result is five.What is the number?
The second IS is the only one translated to the = symbol. Any IS placed directly in front of a keyword for an operation does not indicate equality. When a number directly follows IS, however, IS does indicate equality.
Remember: Mark the turnaround word to remind you to translate in the correct order.
- The equation translates to 12 − x = 5.
Check more of your translation abilities with Example 3.
Example 3: Translate the following statement into an equation: The product of eight and a number yields twenty‐four.
What operation should replace AND in this equation? The leading keyword, PRODUCT OF, indicates the eight is multiplied by a number.
Note: The first expression is translated, then the equal sign is translated, and then the expression on the right of the equal sign. Often, in mathematics, breaking the problem up into smaller pieces can increase your success. Instead of translating the whole equation at one time, translate the first expression, the equal sign, and then the second expression.