Directions: Decide if 30x – 12 could be a result of using the distributive property. If it is, find the possible combinations of factors whose product would be 30x – 12 (using integer coefficients and constants). Source: adapted from Nathan Charlton

Directions: Create an inequality that has no solution. Source: Kara Colley

Directions: Using the digits 0 through 9, find two numbers that round to 500, and have the greatest possible difference. Each digit can only be used once. Source: Michael Wiernicki, Graham Fletcher, and Rachel Nelli.

Directions: Find three numbers whose product is -64. You may use integers from -10 to 10. You may not use the same absolute value twice. Find all possible combinations. Source: Nathan Charlton and Daniel Martinez

Directions: The measures of the angles of a convex polygon form an arithmetic sequence. The smallest angle has a measurement of 129 degrees. The largest angle has a measurement of 159 degrees. Find the number of sides in this polygon. Source: Ricardo Navarro

Directions: Create three different mixed numbers that will make the equation true by using the digits 1 to 9 at most one time each. You may reuse the same numbers for each of the three mixed numbers. Source: Robert Kaplinsky

Directions: Create a set of five positive integers from 1 to 20 that have the same mean, median, and range. Source: Eric Berchtold and Melissa Minnix

Directions: Using the integers from -9 to 9, at most one time each, create a system of three-equations such that the solution is (1,1). Source: Audrey Mendivil, Daniel Luevanos, and Robert Kaplinsky

Directions: Using the digits 1 through 9, at most one time each, create a system of equations that has as many solutions as possible. Source: Audrey Mendivil, Daniel Luevanos, and Robert Kaplinsky

Directions: Give an example of two sets of numbers that form identical box plots (also called box-and-whisker plots) but have different mean absolute deviation values. Source: Robert Kaplinsky with help from Pamela Franklin