Question 29

Twice the number minus five is represented by 2x - 5.

The mathematical expression for 'Five less than twice the number' is accurately expressed as 2x - 5, where 'x' represents the number in question.

A) 5x-2

This option incorrectly suggests that five times the number is being reduced by two. The phrase specifically indicates 'twice the number', which should involve multiplying by 2, not 5, making this option incorrect.

B) 2x-5

This is the correct interpretation of the phrase 'Five less than twice the number'. The expression correctly reflects that we first double the number (2x) and then subtract five, aligning perfectly with the original phrase.

C) 2-5x

This choice incorrectly places the constants and variables. It suggests subtracting five times the number from two, which does not represent the original phrase. The phrasing clearly indicates a reduction from the result of 'twice the number', not an operation between constants.

D) 5-2x

This expression implies that we are subtracting twice the number from five, which is the opposite of what the original phrase indicates. It does not accurately reflect the operation of taking five away from twice the number, thus rendering it incorrect.

Conclusion

The option B (2x - 5) is the definitive representation of the phrase 'Five less than twice the number', as it correctly applies the mathematical operations described. All other options fail to represent the intended meaning due to misinterpretations of the operations involved.