Translate the phrase 'Seven more than the product of 11 and Greg's height' into an algebraic expression. Use the variable g to represent Greg's height.
Understand the Problem
The question asks us to translate the given sentence into an algebraic expression. We are told to use the variable 'g' to represent Greg's height. The phrase involves the product of 11 and Greg's height, plus 7.
Answer
$11g + 7$
Answer for screen readers
$11g + 7$
Steps to Solve
- Represent Greg's height with the variable g
The problem tells us to use the variable $g$ to represent Greg's height. This means wherever we see "Greg's height," we can substitute $g$.
- Express the product of 11 and Greg's height
The phrase "the product of 11 and Greg's height" translates to multiplication. Since Greg's height is $g$, the product is $11 \times g$, which can be written as $11g$.
- Add seven to the product
The phrase "seven more than" indicates addition. We need to add 7 to the product we found in the previous step. This gives us $11g + 7$.
$11g + 7$
More Information
The expression $11g + 7$ represents the phrase "seven more than the product of 11 and Greg's height." If we knew Greg's height, we could substitute that value for $g$ and calculate the numerical value of the expression.
Tips
A common mistake is to misinterpret the order of operations and write the expression as $11(g+7)$. This would mean "11 times the sum of Greg's height and 7", which is different from the original statement. Another common mistake is writing $7 + 11 * g$ instead of $11 * g + 7$. Although both are technically correct, the standard convention is to write the coefficient before the variable.
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