 # High School: Algebra

## 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

Directions: What are the maximum and minimum values for c if x^2 + 12x + 32 = (x+a) (x+b) + c? Source: Jedidiah Butler

## Highest Degree Polynomials

Directions: Using the digits 1 to 9 at most one time each, fill in the boxes to make a polynomial of the highest degree. Source: Robert Kaplinsky

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

## 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