High School: Algebra

Directions: Using the integers -9 to 9, at most one time each, place an integer in each box to create three quadratic equations: one with two imaginary solutions, one with one real solution, and one with two real (rational or irrational) solutions. Source: Ryan D. Fox

Directions: Using the digits 1 to 9, at most one time each, place a digit in each box to find the largest possible Greatest Common Factor for the polynomial. Then factor out the GCF. Extension: Repeat the activity with a two-digit GCF. Source: David Groat

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

Directions: Using the digits 1 to 9, at most one time each, place a digit in each box to create two separate quadratic equations. Source: Avanti Yamamoto

Directions: Using the digits 1 to 9, at most one time each, place a digit in each box to make a true in equality and a true equation. An extension is to do so while leaving the greatest or smallest number unused. Source: John Joseph Vasko jr

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

Directions: Using the digits 1 to 9, at most one time each, place a digit in each box to create a true equation. Source: Eduardo Bernal

Directions: Using the digits 1 to 9, at most one time each, place a digit in each box to create a true equation. Source: Eduardo Bernal

Directions: Using the digits 1 to 9, at most one time each, place a digit in each box to create a quadratic equation such that the distance between the solutions is greater than 1. Source: Mong Kon Mo

Directions: Using the digits 0 to 9, at most one time each, place a digit in each box so that the quadratic is factorable. Source: Mark Baethke