Translate this phrase into an algebraic expression. \[ 20 \text { increased by twice Janelle's age } \] Use the variable \( j \) to represent Janelle's age.
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To translate the phrase "20 increased by twice Janelle's age" into an algebraic expression, you'll want to first identify the components. "Twice Janelle's age" translates to \( 2j \) (where \( j \) is her age). So, if you increase 20 by this amount, the full expression is: \[ 20 + 2j \] This represents the total after adding twice her age to 20. Now you have a neat little formula for whatever calculations about Janelle's age you want to tackle! And remember, in algebra, the beauty lies in how these expressions can help you solve real-life problems! For example, if you knew Janelle's age, you could easily calculate the total by plugging in her age into the expression. Isn't math just stunningly helpful like that?
