High School

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Select the equation and solution for this situation:

15 less than a number is 22.

A. \( x - 15 = 22 \)
\( x = 7 \)

B. \( x - 15 = 22 \)
\( x = 37 \)

C. \( 22 - 15 = x \)
\( x = 7 \)

D. \( x + 15 = 22 \)
\( x = 37 \)

Answer :

Final answer:

The equation that represents the situation '15 less than a number is 22' is x - 15 = 22. The correct equation and solution for this situation is x + 15 = 22, x = 37.Option D is the correct answer.

Explanation:

The equation that represents the situation '15 less than a number is 22' is option a: x - 15 = 22. To solve this equation, we want to isolate x. We can do this by adding 15 to both sides of the equation. So, x = 22 + 15. Simplifying this gives us x = 37. Therefore, the correct equation and solution for this situation is option d: x + 15 = 22, x = 37.

The correct equation representing the scenario "15 less than a number is 22" is x - 15 = 22, as indicated by option a. To solve this equation and isolate x, one must add 15 to both sides. Consequently, x = 22 + 15, simplifying to x = 37. This aligns with the solution provided in option d, x + 15 = 22, and x = 37. Therefore, both the equation and solution affirm the accurate representation of the given situation, reinforcing the validity of option a.

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