# SAT/ACT problem of the week, September 29, 2016 solution

Hint for process of elimination: Though this problem has a “None of the above” option, choosing a random value for $z$ satisfying the simple conditions that $z$ is odd, such as $z=3$, would immediately eliminate three of the choices because the answers are odd.

A second benefit of choosing a random value of $z$ is that the process may increase your intuition of what the answer should be.

Read on for a full solution.

# SAT problem of the week, September 29, 2014

If $z$ is an odd integer, which of the following is an even integer?

1. $z+2$ (check answer)
2. $z-2$ (check answer)
3. $z^2 - 3z$ (check answer)
4. $(z+2)(z-2)$ (check answer)
5. None of the above (check answer)

Solutions, hints, and questions are welcomed. A full solution will be posted on October 5th. If you would like to learn how to enter math formulas into this blog, visit the WordPress LaTeX tutorial page.

# SAT problem of the week, September 29, 2014 solution

Hint for process of elimination: Though this problem has a “None of the above” option, choosing a random value for $z$ satisfying the simple conditions that $z$ is odd, such as $z=3$, would immediately eliminate three of the choices because the answers are odd.

A second benefit of choosing a random value of $z$ is that the process may increase your intuition of what the answer should be.

Read on for a full solution.

If $z$ is an odd integer, which of the following is an even integer?
1. $z+2$ (check answer)
2. $z-2$ (check answer)
3. $z^2 - 3z$ (check answer)
4. $(z+2)(z-2)$ (check answer)