Question
Translate this phrase into an algebraic expression. 20 increased by twice Janelle's age Use the variable \( j \) to represent Janelle's age. \( \square \)
Ask by Ortega Turnbull. in the United States
Mar 11,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
The algebraic expression is \( 20 + 2j \).
Solution
To translate the phrase "20 increased by twice Janelle's age" into an algebraic expression using the variable \( j \) to represent Janelle's age, we can break it down as follows:
1. "Twice Janelle's age" can be expressed as \( 2j \).
2. "20 increased by" means we add 20 to the expression we just formed.
Putting it all together, the algebraic expression is:
\[
20 + 2j
\]
So, the final answer is:
\[
20 + 2j
\]
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Simplify this solution Beyond the Answer
The phrase "20 increased by twice Janelle's age" can be translated into the algebraic expression \( 20 + 2j \). Here, \( 2j \) represents twice Janelle's age, and adding 20 signifies the increase. So, next time you hear similar phrases, think about breaking them down into manageable parts! When interpreting phrases for algebra, it's helpful to identify the components: the constant (20) and the variable expression (twice Janelle's age). Rather than getting lost in wordiness, try visualizing the relationships—they can be like a puzzle where each piece fits together to form the complete picture!
