Here are the correct matches for each phrase with the mathematical expressions:
1. **twice a number, increased by five** → **2x + 5**
2. **twice the difference of a number and five** → **2(x - 5)**
3. **twice the sum of a number and five** → **2(x + 5)**
4. **five decreased by twice a number** → **5 - 2x**
5. **five less than twice a number** → **2x - 5**
6. **twice a number less five** → **2x - 5** (This matches the same expression as the previous one, but is also valid.)
So, the paired responses would look like:
- **twice a number, increased by five**: **2x + 5**
- **twice the difference of a number and five**: **2(x - 5)**
- **twice the sum of a number and five**: **2(x + 5)**
- **five decreased by twice a number**: **5 - 2x**
- **five less than twice a number**: **2x - 5**
- **twice a number less five**: **2x - 5**