# Reasoning with Equations and Inequalities

## Systems of Equations – One Solution

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

## Systems of Three Equations – Multiple Solutions

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

## Factoring Quadratics 2 – Fraction Solution

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

## Factoring Quadratics – Fraction Solution

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

## Factoring Quadratics 2 – Integer Solutions

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

## Factoring Quadratics 2 – One Solution

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

## Factoring Quadratics – One Solution

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