# PreCalc 10.7 - 10.8 Worksheet 2 ```Precalculus
Name__________________________________________
Non Linear Systems Review #2
Date____________________Period__________________
Learning Target: I will be able to solve and graph a system of non linear equations.
Directions: Solve the system. Then verify your solution(s) by graphing the system.
1.
( x  3)2  ( y  2) 2  9

3x  3 y  6
2.
 y   x2  2

2 x  y  2
Directions: Solve the system. You do not need to graph this one.
3. The difference of two numbers is 5 and the difference of their squares is 55. Find the two numbers by
showing all of your work including the equations you used to achieve your solution.
Directions: Solve the system. You do not need to graph this one.
4.
 x2  2 y 2  7

 xy  3
Learning Target: I will be able to solve and graph a system of non linear inequalities.
Directions: Solve the system of inequalities by graphing and shading your final solution.
5.
 x2  y 2  9

x  2 y  2
6.
 x2 y 2
1
 
 9 25
 x  ( y  2) 2  1

```