Question
Translate the phrase into an algebraic expression. Twice \( y \) \( \square \) \( +\square \) \( \times \square \) \[ \square \div \square \]
Ask by Newton Riley. in the United States
Mar 09,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
"Twice \( y \)" translates to \( 2y \).
Solution
To translate the phrase "Twice \( y \)" into an algebraic expression, we can break it down step by step.
1. **Twice \( y \)**: This means \( 2y \).
Now, we need to fill in the blanks with appropriate mathematical operations and variables. The expression can be structured as follows:
- The first blank \( \square \) can be filled with \( 2y \).
- The second blank \( \square \) can be filled with a variable, let's say \( a \).
- The third blank \( \square \) can be filled with another variable, let's say \( b \).
- The fourth blank \( \square \) can be filled with a variable, let's say \( c \).
- The fifth blank \( \square \) can be filled with another variable, let's say \( d \).
Putting it all together, the algebraic expression can be represented as:
\[
2y + a \times b \div c
\]
This expression combines "Twice \( y \)" with the operations of addition, multiplication, and division involving the variables \( a, b, c, \) and \( d \).
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Extra Insights
To translate the phrase "Twice \( y \)" into an algebraic expression, we can express it as \( 2y \). Now, let's fill in the blanks: For \( \square \), the first one becomes \( 2y \), the second can be parts of a second expression you want to define, so let's say we want to add 3. This gives us: Twice \( y \) \( +3 \) \( \times 4 \) \[ 5 \div 2 \] Putting it together, the full expression would look something like: \[ 2y + 3 \times 4 \] \[ 5 \div 2 \] Feel free to adjust the numbers as per your needs!