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)