Seeing Structure in Expressions

Directions: Using the digits 0 to 9 at most one time each to create a true statement. 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

Directions: Using the digits 1 to 9 at most one time each, fill in the boxes so x = y. Source: Arnav Gulati and Daniel Luevanos

Directions: Place an integer in the blank to find the largest and smallest value that will make the quadratic expression factorable. Source: Robert Kaplinsky

Directions: Fill in the boxes with any numbers that make the equation true. Source: Dane Ehlert

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