Answer with explanation:
An algebraic expression is an mathematical expression made by using numbers, variables, and the algebraic operations.
To find : Algebraic expression for each statement.
1. 11 more than a half number .
Let the number be x.
Required algebraic expression:
![11+\frac12 x](https://img.qammunity.org/2021/formulas/mathematics/high-school/25kf7fvrznyqg06l29iojsbynr9av6nk5h.png)
2. the sum of triple z and half of x .
Required algebraic expression:
![3z+\frac12 x](https://img.qammunity.org/2021/formulas/mathematics/high-school/ieyydjcuh5g74ttzx9rm496nhuqvb3pr4x.png)
3. 1/2 the difference of a number and 15 .
Let the number be x.
Required algebraic expression:
![\frac12 (x-15)](https://img.qammunity.org/2021/formulas/mathematics/high-school/wya9mgp4vfvz9xjav4n9jhcm7ab9de984n.png)
4. 4 less than the quotient of x and -5
Required algebraic expression:
![(x)/(-5)-4](https://img.qammunity.org/2021/formulas/mathematics/high-school/v9jbn5xkf8e5qgt21ktg103d95dpeqrziv.png)