Teacher: \( \qquad \) L Date: Translate Algebraic Expressions 1) Take away 7 from 5 times \( n \) 2) 6 is subtracted from one-half of \( x \) 3) 4 minus \( x \) 4) Product of 3 and \( k \) 5) Add 8 to 2 times h 6) Take away 8 from \( k \) 7) \( z \) is added to 2 ) 5 is added to two-thirds of \( y \) 4 is added to \( m \)

Certainly! Below are the translations of the given algebraic expressions from their verbal descriptions to mathematical notation: 1. **Take away 7 from 5 times \( n \)** \[ 5n - 7 \] 2. **6 is subtracted from one-half of \( x \)** \[ \frac{1}{2}x - 6 \quad \text{or} \quad \frac{x}{2} - 6 \] 3. **4 minus \( x \)** \[ 4 - x \] 4. **Product of 3 and \( k \)** \[ 3k \] 5. **Add 8 to 2 times \( h \)** \[ 2h + 8 \] 6. **Take away 8 from \( k \)** \[ k - 8 \] 7. **\( z \) is added to 2** \[ z + 2 \quad \text{or} \quad 2 + z \] 8. **5 is added to two-thirds of \( y \)** \[ \frac{2}{3}y + 5 \quad \text{or} \quad 5 + \frac{2}{3}y \] 9. **4 is added to \( m \)** \[ m + 4 \quad \text{or} \quad 4 + m \] --- **Summary of Translations:** | **No.** | **Verbal Expression** | **Algebraic Expression** | |---------|--------------------------------------------|------------------------------------| | 1 | Take away 7 from 5 times \( n \) | \( 5n - 7 \) | | 2 | 6 is subtracted from one-half of \( x \) | \( \frac{1}{2}x - 6 \) | | 3 | 4 minus \( x \) | \( 4 - x \) | | 4 | Product of 3 and \( k \) | \( 3k \) | | 5 | Add 8 to 2 times \( h \) | \( 2h + 8 \) | | 6 | Take away 8 from \( k \) | \( k - 8 \) | | 7 | \( z \) is added to 2 | \( z + 2 \) | | 8 | 5 is added to two-thirds of \( y \) | \( \frac{2}{3}y + 5 \) | | 9 | 4 is added to \( m \) | \( m + 4 \) | Feel free to ask if you need further explanations or assistance with these expressions!