Building Functions

Directions: Using the digits 1 to 9 at most one time each, place a digit in each box create a true statement. Source: Dana Harrington

Directions: Use only the digits 1-9, each digit only once, to create a problem that has the smallest possible positive answer. Source: Noel Chang

Directions: Using the digits 1 to 9 at most one time each, place a digit in each box to create two different solutions to the problem: Source: Noel Chang

Directions: Using the digits 1 to 9 at most one time each, place a digit in each box so that each quadratic is the same. Source: John Rowe

Directions: Using the integers −9 to 9 at most one time each, place an integer in each box to create an arithmetic sequence so that the coefficient in the function that represents it is the greatest possible value. Source: Robert Kaplinsky

Directions: Using the integers −9 to 9 at most one time each, place an integer in each box to create an arithmetic sequence and a function that represents it. Source: Robert Kaplinsky

Directions: Using the digits 1-9, at most one time each, complete the first three terms of the arithmetic and geometric sequences. What sequences result in the greatest sum of their second terms? (e.g. 3, 5, 7 and 2, 6, 18 would result in a sum of 5 + 6 = 11). What sequences result in the least sum of their …

Directions: Using the digits 0 to 9 at most one time each, fill in the boxes so that the values of each expression increases from least to greatest. Each number may only be used once. Source: John Rowe

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: What are the maximum and minimum values for c if x^2 + 12x + 32 = (x+a) (x+b) + c? Source: Jedidiah Butler