Seeing Structure in Expressions

Directions: Using the digits 1 to 9, at most one time each, place a digit in each box so that x equals 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: Using any numbers, fill in the boxes to 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

Directions: Using the digits 1 to 9, at most one time each, find the result with the greatest and least value. Source: Dane Ehlert

Directions: Fill in the blanks with integers so that the quadratic expression is factorable.   Source: Nanette Johnson