Name_____________________________________
Algebra
Guided Notes: Can You Solve That?
Date_________________
1. Write a system of two equations that could be used to solve this problem:
The perimeter of a rectangular garden is 20 feet. The area of the garden is 24 square feet.
What are the length and width of this garden?
2. Use Desmos to graph the system you wrote in #1. Sketch what you see here:
(Pay close attention to the intercepts and the points of intersection.)
Which parameter was the same for problems #4-11 on the Building a Rectangular Garden assignment?
Which parameter was changing? Make a slider for that changing parameter on Desmos.
Type of Solution
Example(s)
i.e: A = ______ & P = _____
Describe what you see on the graph.
3. Go back to Problem #1. Show how to use substitution to solve this problem.
4. Sketch a graph of ! = ! ! − 10! + 24.
Make sure that your sketch shows all three intercepts on this graph.
5. What happens when you change the “Area” value in the equation given in Problem #4?
Try a few different possibilities, and write a few sentences about what you see.