1. Warm Up Solve the following systems using any method:

2. Homework Check 2.3 1)No solution 2)(8, 1) 3)Y = -3 4)-2 5)A) no solutionb) no solution 6)A) (9,28)b) 7)A) (1, 3)b) (2,-2)

3. Today’s Objectives Students will work with system-of-equations word problems. Students will graph linear inequalities

5. Word Problems When working with system-of-equations word problems, determine the two equations that you can write. Then solve using any method

6. Example 1 A test has twenty questions worth 100 points. The test consists of True/False questions worth 3 points each and multiple choice questions worth 11 points each. How many multiple choice questions are on the test?

7. Example 2 The senior classes at Knightdale High School and Enloe HS planned separate trips to New York City. The senior class at KHS rented and filled 1 van and 6 buses with 372 students. EHS rented and filled 4 vans and 12 buses with 780 students. Each van and each bus carried the same number of students. How many students can a van carry? How many students can a bus carry?

8. Example 3 Matt and Ming are selling fruit for a school fundraiser. Customers can buy small boxes of oranges and large boxes of oranges. Matt sold 3 small boxes of oranges and 14 large boxes of oranges for a total of $203. Ming sold 11 small boxes of oranges and 11 large boxes of oranges for a total of $220. Find the cost each of one small box of oranges and one large box of oranges.

10. We show the solution to a system of linear inequalities with a graph!

11. Steps to Graphing a System of Inequalities: 1)Put the inequalities into slope- intercept form. 2)Decide if the lines should be dotted or solid. 3)Shade above for y > or y , shade below for y < or y ≤. 4)Shade the overlapping section darker to show where the solutions to both inequalities lie.

12. Example #1: a: 3x + 4y > - 4 b: x + 2y < 2 Put in Slope-Intercept Form:

13. Graph each line, make dotted or solid and shade the correct area. dotted shade above dotted shade below

14. #2 Graph the system of linear inequalities. x  –1 y > x – 2

15. #3 x > -2 y -5

16. Class Work Graph the System of Inequalities on the handout

17. Homework HW 2.4