High School: Algebra

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, place a digit in each box to so that the remainder when dividing the two is 14. Source: Kyle Prince

Directions: Using the digits 1 to 9 at most one time each, place a digit in each box to create a a system of equations with infinitely many solutions. Source: Mike

Directions: Use only the digits 1-9, each digit only once, create a problem that has the solutions x = 4 and x = -1/2. Source: Amy Herzog

Directions: Using the integers −9 to 9 at most one time each, place an integer in each box to create a system of inequalities as well as an included and excluded point. Make the points as close together as possible. Source: Robert Kaplinsky

Directions: Using the integers −9 to 9 at most one time each, place an integer in each box to create a system of inequalities as well as an included and excluded point. Source: Robert Kaplinsky

Directions: Using the integers −9 to 9 at most one time each, place an integer in each box to create a system of equations whose solution is as close to the origin as possible. Source: Robert Kaplinsky

Directions: Using the integers −9 to 9 at most one time each, place an integer in each box to create a system of equations and its solution. Source: Robert Kaplinsky

Directions: Using the integers -9 to 9 at most one time each, place an integer in each box to make two expressions: one that has three or more terms and one that has fewer than three terms. You may reuse all the integers for each expression. Source: Robert Kaplinsky in Open Middle Math