1. Warm Up
Convert to slope intercept form.
Convert to standard form.

2. HW Check – 7.1

3. Word Problems (from yesterday)

4. Unit 7 – Systems of Linear Equations
Day 1 – Introduction to Systems

5. What is a System of linear Equations?
Two or More Linear Equations grouped together.
(Recall: Linear Equations = equations of a line)
Example:

6. Solutions of a Linear System
**Any ordered pair (x,y) that makes ALL equations in the system TRUE.**

7. Is the ordered pair a Solution?
**Substitute the x and y into the equation** TRUE Statement  A solution FALSE Statement  NOT a solution Ex #1 Is (6, 5) a solution to the system?

8. #2) Is (2,-1) a solution to the system? #3) Is a solution to the system?

9. Volunteers. Draw 2 lines that would satisfy each type of solution.
One Solution
No Solution
Infinitely Many Solutions
Have 3 students draw 2 lines for each type of solution.

10. 3 Types of Solutions One Solution  one ordered pair
The Lines INTERSECT
 SLOPES are DIFFERENT

11. NO Solution
 The lines NEVER intersect The lines are PARALLEL  SLOPES are the SAME, Y-INTERCEPT is DIFFERENT

12. Infinitely Many Solutions
 The two lines are the SAME line The lines lie on top of each other  SLOPES and Y-INTERCEPT are the SAME

13. Representation of solution
Type of System
Slope
Y-intercept
Number of Solutions
Representation of solution
Intersecting
Parallel
Same Line

14. Coming up…
HW tonight – 7.2
Math Department Tutoring today in Room 2622
Mrs. Wolf’s Tutoring – Thursday after school
Quiz 7.1 Friday!