High School: Algebra

Directions: Using the digits 1 to 9, at most one time each, place a digit in each box so that the solution(s) to the system are integers. Source: Ashley Taplin

Directions: Using the integers -9 to 9, at most one time each, place an integer in each box to create a system of equations as well as two solutions that make the system true. Source: Cody Pritchard

Directions: Using the digits 0 to 9, at most one time each, place a digit in each box to create a division problem with a solution of 2x + 5. Source: Andrew King

Directions: Using the digits 0 to 9, at most one time each, place a digit in each box to make the equation true. Source: Anthony Meli

Directions: Using the digits 1 to 9, at most one time each, place a digit in each box to make one set of functions intersect exactly twice, one set of functions intersect exactly once, and one set of functions never intersect. Source: Mike Fouchet

Directions: Using the digits 0 to 9, at most one time each, place a digit in each box to make both expressions factorable. Source: Jack Assaf

Directions: Using the digits 1 to 9, at most one time each, place a digit in each box to find the largest/smallest possible sum of the three terms in this finite geometric series. Source: Dana Harrington

Directions: Using the digits 1 to 9, at most one time each, place a digit in each box to find the largest or smallest possible coefficient of the third term in the expansion. Source: Dana Harrington

Directions: Using the digits 1 to 9, at most one time each, place a digit in each box to create a correct sentence: The vertex of the parabola, y = ▢ x² + ▢ x + ▢, lies on the horizontal axis Source: Cecilia Calvo

Directions: Using the digits 1 to 9, at most one time each, place a digit in each box to construct four different quadratic expressions that can be factored as two binomials with integer coefficients and terms. Source: Giles Fox