8 less than a number x. Which of the following expressions represents the preceding phrase?

Rationale

x - 8

The expression "8 less than a number x" is mathematically represented as subtracting 8 from x, which results in the expression x - 8. This aligns with the conventional way of expressing a decrease from a given value.

A (x - 8) CORRECT

This choice correctly captures the phrase by indicating that 8 is being subtracted from the variable x, accurately reflecting the intended mathematical operation of "8 less than."

B (8 - x) YOUR ANSWER

This expression incorrectly suggests that x is being subtracted from 8, which changes the meaning entirely. Instead of indicating a decrease from x, it implies a negative value or the difference when x exceeds 8.

C (x + 8) YOUR ANSWER

This choice represents an addition rather than a subtraction. It implies that 8 is being added to x, which contradicts the original phrase that specifies taking away 8 from x.

D (8x) YOUR ANSWER

This choice suggests the multiplication of 8 by x, which does not relate to the phrase "8 less than a number x." It completely misses the subtraction aspect and alters the operation to a multiplication context.

Conclusion

The phrase "8 less than a number x" is accurately expressed as x - 8, indicating a subtraction from x. Each incorrect choice misinterprets the operation, either by reversing the order of subtraction, suggesting addition, or indicating multiplication. Understanding this distinction is essential for correctly translating verbal expressions into mathematical ones.

8 less than a number x. Which of the following expressions represents the preceding phrase?

x - 8

Related Questions

Related Quizzes

How familiar were you with this question?

Report an Issue

Rate this Practice Test