This document contains notes from a math class covering topics like solving systems of equations graphically and algebraically. It includes examples of different types of systems, how to determine the number of solutions, and how the solution must satisfy all equations. Homework problems are assigned from pages 373, 388, 395, and 396 of the textbook. The document is divided into sections with headings announcing the topics and examples provided.
1. Inequalities 4_2.notebook March 21, 2013
Quiz
IM 2
1. How do you feel about the quiz?
2. Were you ready for this quiz?
If yes, what did you do to get ready?
If no, how come?
3. What are you going to do to prepare for the test?
4. What are you doing over spring break?
5. Is there anything you want to know about me?
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3. Inequalities 4_2.notebook March 21, 2013
5.4 Solving systems of equations graphically
What is a system of equations?
Ex)
y = 2x 2 6
y = x + 4
There are three types of systems
1. linear linear
2. linear quadratic
3. quadratic quadratic
What does the solution to the system of equations look like?
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4. Inequalities 4_2.notebook March 21, 2013
The solution satisfied all equations
13. b)
2x 3y < 6; for x = 0, y < 0
test point (0,3)
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5. Inequalities 4_2.notebook March 21, 2013
How many solutions does the system have?
x + y = 5
x + y = 3
2x + 2y = 6
x + y = 3
x + y = 3
x y = 1
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8. Inequalities 4_2.notebook March 21, 2013
5.5 Solving systems of equations algebraically
Example 1
What type of system is this?
Solve this system
y = 2x 2 + 10
x 2y = 15
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