Name: _________________________ Class: _____Due Date: __________________
When solving the following problem, be sure to:
1) Restate the Question
2) State your answer in a complete sentence (reference the question).
3) Show work and/or explain solution strategy
Eduardo's Equations
Eduardo has been studying integers and equations in algebra class. For homework, he had to make
up a problem about them, and his answer is shown here. See if you can solve Eduardo's problem.
1. Find all of the ordered pairs
of integers that satisfy this equation.
2. Which of the ordered pairs from the first question will also work in this equation?
3. If we add the following equation, now which ordered pairs work in all three equations?
4. Which ordered pair will also work in this equation?
What did you find for each question?
(For your Short Answer, tell us what you got for Question 4. In your Explanation, be sure to include the full solutions to
all four questions.)
Extra: Eduardo's problem required you to use the equations in a particular order and asked you to
find all of the possible solutions at each step. Suppose you didn't have to follow his steps and only
had to find the ordered pairs of integers that worked for all four equations. Which equation would you
start with to find the answer most quickly? Why do you think it's the best choice?
Please answer the problem on a separate piece of paper. You must include all your calculations and an explanation of
how you got your answer. Your paper will be scored in the following way:
 4 The answer and the bonus are correct, you have included all your calculations, and the explanation is
thorough and understandable.
 3 The answer is correct, you have included all your calculations, and the explanation is complete and clear
to the reader.
 2 The answer is missing one of the items mentioned above.
 1 The answer is incorrect, and the explanation or calculations are poor or missing.
 0 Minimal or no effort was made to solve the problem.
 All late work is marked down a grade.