Reasoning with Equations and Inequalities

Directions: Write a quadratic equation that has a y-intercept of 24 and the distance between the x-intercepts is 10. Bonus: find more than 2 quadratic equations. Source: Daniel Luevanos

Directions: Using the digits 0 to 9 at most one time each, fill in the boxes to write three equations whose solution is -1/2. Source: Daniel Luevanos

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 through 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: Using the digits 0 to 9 at most one time each, fill in the boxes to 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, fill in the boxes to 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, fill in the boxes to 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, fill in the boxes to 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, fill in the boxes to so that there is only one solution. Source: Daniel Luevanos

Directions: Using the digits 0 to 9 at most one time each, fill in the boxes to so that the solutions are integers. Source: Daniel Luevanos