Seeing Structure in Expressions

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 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 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 so that the quadratic is factorable. Source: Mark Baethke

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 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 construct four different quadratic expressions that can be factored as two binomials with integer coefficients and terms. Source: Giles Fox

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

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

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