Here are the correct matches for each phrase with the mathematical expressions:
- 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 (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