Translate this phrase into an algebraic expression. \[ 64 \text { less than twice Julie's age } \] Use the variable \( j \) to represent Julie's age.

To express "64 less than twice Julie's age," we first need to understand that "twice Julie's age" can be written as \( 2j \). Now, to find "64 less than" this amount, we subtract 64 from \( 2j \). Hence, the algebraic expression is: \[ 2j - 64 \] An important tip for translating phrases into algebraic expressions is to carefully identify keywords: “less than” often signals subtraction, and phrases like “twice” indicate multiplication, which can help steer you toward the correct formulation. Also, a common mistake is misplacing the order when dealing with phrases like “less than.” Remember, when you see "less than," it means you'll be subtracting from the quantity that comes before it, requiring careful attention not to flip the order incorrectly!