1. Prior knowledge practice. I can determine rate of change and y intercept from a graph. I can graph a line given a slope and an intercept. I can graph a line from a context. I can interpret what a slope and an intercept mean in a context. I know that a linear function is made up of ordered pairs that are on the line.

2. Interpreting a graph

4. Graphing a line from slope intercept form. To graph a line find two things: Y intercept (where x is 0) The rate of change or the rise/run Ronald makes 3 doohickeys each hour. He already had 5 in storage. Y=3x+5

5. Graphing a line in standard form. 2 ways Convert to slope intercept and graph. 2x+3y=6 3y= -2x+6 Y=-2/3x+2 Find x and y intercept and graph. 2x+3y=6 xy 02 30

6. What exactly does the graph of an equation represent? Mr. Hansen starts the year with 100 calculator batteries. He uses 4 per week. Independent variable is Dependent variable is Possible ordered pairs are (0, 100) (1, 96) (2,92)

7. A system of equations. When you have 1 equation with 2 variables you can draw a line depicting all the possible solutions. When you have 2 equations with 2 variables, both equations will have many solutions, the point where the equations intersect will be the solution to the system of equations. Frank(x) makes twice as much as Joe. (y) 2y= x Together Joe and Frank make 12 dollars. x + y =12

8. Graphing systems of equations Hanz the weight lifter can curl 20 pounds. He plans to increase by 2 pounds each week. Franz his friend can curl 26 pounds. He is happy to maintain and not increase his weight.

9. Kota has 4 Monster High dolls and is planning on buying one each week. Tara has 6 Monster High dolls and is planning on buying one every second week.

10. Derick starts the year with 50 dollars in his bank account. Each week he spends 5 dollars. His sister starts the year with 10 dollars in her bank account. Each week she saves 2 dollars.

11. Substitution Write a system of equations for the following problem. Angle x is twice as much as angle y. The angles are supplementary

12. Angle x is 30 degrees more than angle y. The two angles are complementary.

13. Sue is 6 years older than Mike. The sum of their ages is 28

15. Dons phone plan costs 50 dollars plus.10 for every minute. Joes phone plan costs 40 dollars plus.20 for every minute. Use substitution to find out at how many minutes of talk time both plans are equal.

16. Don’s phone plan costs 50 dollars plus.10 for each minute. Ralf’s phone plan costs 40 dollars plus.10 for each minute.

17. Looking for structure in equations. Solve the following using substitution and graphing Y=2x+5 Y=2x+4 Rule When the slopes are the same but the y intercept is different then ___________________

18. Looking for structure in equations Rule When the slopes are the same and the y intercepts are the same. ____________________

19. Looking for structure in equations. If the slopes are opposite reciprocals then ____________

20. 11.4 problems The business manager for a band must make $236,000 from ticket sales to cover costs and make a reasonable profit. The auditorium where the band will play has 4000 seats, with 2800 seats on the main level and 1200 on the upper level. Attendees will pay $20 more for main-level seats. Define your variables x= y= Set up two equations that contain both x and y. Solve the equations using substitution. Write in a sentence what your solutions are.

21. Ms. Ross told her class that tomorrow’s math test will have 20 questions and be worth 100 points. The multiple-choice questions will be 3 points each and the open-ended response questions will be 8 points each. Determine how many multiple- choice and open-ended response questions will be on the test.

22. Serena is ordering lunch from Tony’s Pizza Parlor. John told her that when he ordered from Tony’s last week, he paid $34 for two 16-inch pizzas and two drinks. Jodi told Serena that when she ordered one 16-inch pizza and three drinks, it cost $23. What is the cost of one 16- inch pizza and one drink?

24. A farmer has 10 animals, they are either ducks or pigs. If his animals collectively have 32 feet, how many pigs does he have? How many ducks does he have?