This document contains notes from a math class on solving and graphing two variable equations. The notes include examples of determining if equations represent functions, solving various two variable equations, finding solutions for specific values, graphing linear equations, and determining if a graphed equation is a function. The students are assigned homework problems from their textbook on these concepts.

1. 8.2 solve and graph two variable February 29, 2012
Solve for y.
1. 2 + y = 3y ­1
2. 8y ­ 13 = 11
3. y + 2 = 6
4
4. 7(y + 3) = 24
Bellwork
Objective: solve and graph two variable equations
HW pg. 408 #3­25 odds 1

2. 8.2 solve and graph two variable February 29, 2012
1. Function, there is one range value for each domain value.
2. Not a Function, ­4 and ­3 each go to two range values.
3. Not a Function, 6 goes to two values.
4. Not a Function, 3 goes to two values
5. Function, each domain goes to one range value
11. Function
12. Function
13. Not a Function
14. Not a Function
15. Function
16. Not a Function
17. Not a Function
18. Not a Function
19. Function
20. Function
21. Not a Function
22. Function
Page 403 # 1 ­ 5, 11 ­ 22 all
HW pg. 408 #3­25 odds 2

3. 8.2 solve and graph two variable February 29, 2012
HW pg. 408 #3­25 odds 3

4. 8.2 solve and graph two variable February 29, 2012
Find the solution of y = 3x + 4 for x = ­1.
HW pg. 408 #3­25 odds 4

5. 8.2 solve and graph two variable February 29, 2012
The equation t = 21 ­ 0.01n models the normal low July temperature in
degrees Celsius at Mount Rushmore, South Dakota. In the equation, t is
the temperature at n meters above the base of the mountain. Find the
normal low July temperature at 300m above the base.
HW pg. 408 #3­25 odds 5

6. 8.2 solve and graph two variable February 29, 2012
An equation with two variables can have many solutions.
A linear equation is any equation whose graph is a line.
Graph y = (­1/2)x + 3
HW pg. 408 #3­25 odds 6

7. 8.2 solve and graph two variable February 29, 2012
Graph y = 2x + 1
HW pg. 408 #3­25 odds 7

8. 8.2 solve and graph two variable February 29, 2012
Graph. Is the equation a function?
y = 2 x = 2
HW pg. 408 #3­25 odds 8

9. 8.2 solve and graph two variable February 29, 2012
Solve 3x + y = ­5 for y. Then graph the equation.
HW pg. 408 #3­25 odds 9

10. 8.2 solve and graph two variable February 29, 2012
HW pg. 408 # 3­25 odds
HW pg. 408 #3­25 odds 10