High School: Algebra

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

Directions: Make a polynomial of the highest degree by using the whole numbers 1 through 9 at most one time each. Source: Robert Kaplinsky

Directions: Use any whole number from 1 to 9 to find the biggest and smallest result. You may only use a number once: Source: Dane Ehlert

Directions: Fill in the empty boxes with whole numbers 0 through 9, using each number at most once, so that at least one of the solutions is a fraction. Source: Daniel Luevanos

Directions: Fill in the empty boxes with whole numbers 0 through 9, using each number at most once, so that at least one of the solutions is a fraction. Source: Daniel Luevanos

Directions: Fill in the empty boxes with whole numbers 0 through 9, using each number at most once, so that the solutions are integers. Note that you can use a 05 to make a 5. Source: Daniel Luevanos

Directions: Fill in the empty boxes with whole numbers 0 through 9, using each number at most once, so that there is only one integer solution. Note that you can use a 05 to make a 5. Source: Daniel Luevanos

Directions: Fill in the empty boxes with whole numbers 0 through 9, using each number at most once, so that there is only one solution. Source: Daniel Luevanos

Directions: Fill in the empty boxes with whole numbers 0 through 9, using each number at most once, so that the solutions are integers. Source: Daniel Luevanos

Directions: Use the whole numbers 1 through 9 only one time, create a system of equations that has no solutions. Source: Nanette Johnson and Robert Kaplinsky