High School: Algebra

Directions: Using the integers from -9 to 9, at most one time each, create a system of three-equations such that the solution is (1,1). Source: Audrey Mendivil, Daniel Luevanos, and Robert Kaplinsky

Directions: Using the digits 1 to 9, at most one time each, create a system of equations that has as many solutions as possible. Source: Audrey Mendivil, Daniel Luevanos, and Robert Kaplinsky

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, place a digit in each box to make a polynomial of the highest degree. Source: Robert Kaplinsky

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: Using the digits 0 to 9, at most one time each, place a digit in each box so that at least one of the solutions is a fraction. Source: Daniel Luevanos

Directions: Using the digits 0 to 9, at most one time each, place a digit in each box so that at least one of the solutions is a fraction. Source: Daniel Luevanos

Directions: Using the digits 0 to 9, at most one time each, place a digit in each box so that the solutions are integers. Note that you can use a 05 to make a 5. Source: Daniel Luevanos

Directions: Using the digits 0 to 9, at most one time each, place a digit in each box so that there is only one integer solution. Note that you can use a 05 to make a 5. Source: Daniel Luevanos

Directions: Using the digits 0 to 9, at most one time each, place a digit in each box so that there is only one solution. Source: Daniel Luevanos