Algebra 2 – Chapter 7
Summary of the 3d lab
Name_________________________
Block__________________________
Graphing equations
 If an equation has two variables the graph looks like a ______________________
 If an equation has three variables the graph look like a ____________________
Intersections
 If two lines intersect their intersection is a _____________________
 If two planes intersect their intersection is a ____________________
 If three planes intersect their intersection is a __________________
Solving Systems of Equations With Three Unknowns
1. Solve the following system using elimination.
The solution to this system is a ______________
2. Turn to the computer worksheet section 7.1.3 that has two (not three) equations in the systems. Also
turn to Screenshot #5 and #6.
 For System 2, what geometric shape is the solution, ie the intersection of the two planes (this is
screenshot #6)? ___________
 Use elimination to solve System 2. How do you know your solution is the correct geometric
shape?
 What can you say about the two planes that make up System 1, (Screenshot #5)? _________
 Use elimination to solve System 1. Is there something odd about this problem? How does your
solution confirm your findings about the two planes in this system?
3. Now let’s add another equation that has three variables. Roll up your metaphorical algebraic sleeves!!
In your book turn to problem 7-46. This references the same system as System 3 on the final page of the
lab worksheet. It also goes with screenshot #9.
 What geometric shape is the solution to this system? (maybe the screenshot will help)________
 Do problem 7-46 to learn a method for finding this solution.
4. Do 7-47 a and c