Question

Which equation models the problem and shows the correct solution?

The difference between x and 89 is 7.
Write the equation as 89 minus x = 7 and subtract 7 from both sides. The answer is 82.
Write the equation as x minus 89 = 7 and add 89 to both sides. The answer is 96.
Write the equation as x minus 7 = 89 and add 7 to both sides. The answer is 96.
Write the equation as 7 minus x = 89 and subtract 7 from both sides. The answer is 82.

Answer 1

To model the problem "The difference between x and 89 is 7," we can set up the equation as:

1. \( x - 89 = 7 \)

This means that if you take 89 away from \( x \), you will get 7.

Now, to solve for \( x \), we add 89 to both sides of the equation:

\[
x - 89 + 89 = 7 + 89
\]
\[
x = 96
\]

So, the correct representation is:

- Write the equation as \( x - 89 = 7 \) and add 89 to both sides. The answer is \( 96 \).

Thus, the correct option is:

**Write the equation as \( x - 89 = 7 \) and add 89 to both sides. The answer is 96.**