1 / 28

REVIEW: 6.1 Solving by Graphing:

Remember:. To graph a line we use the slope intercept form:. REVIEW: 6.1 Solving by Graphing:. y = m x + b. Slope = =. STARING POINT (The point where it crosses the y-axis). System Solution : The point where the two lines intersect (cross):. (1, 3).

warren-fitzpatrick
Download Presentation

REVIEW: 6.1 Solving by Graphing:

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. Remember: To graph a line we use the slope intercept form: REVIEW: 6.1 Solving by Graphing: y=mx +b Slope = = STARING POINT (The point where it crosses the y-axis)

  2. System Solution: The point where the two lines intersect (cross): (1, 3)

  3. Remember: What are the requirements for this to happen?

  4. 0): THINK- Which variable is the easiest to isolate? 1): Isolate a variable REVIEW: 6.2: Solving by Substitution: 2): Substitute the variable into the other equation 3): Solve for the variable 4): Go back to the original equations, substitute, solve for the second variable 5): Check

  5. 0): THINK: Which variable is easiest to eliminate. 1): Pick a variable to eliminate 6.3: Solving by Elimination: 2): Add the two equations to Eliminate a variable 3): Solve for the remaining variable 4): Go back to the original equation, substitute, solve for the second variable. 5): Check

  6. NOTE: We can solve system of equations using a graph, the substitution or eliminations process. The best method to use will depend on the form of the equations and how precise we want the answer to be.

  7. CONCEPT SUMMARY: http://player.discoveryeducation.com/index.cfm?guidAssetId=8A6198F2-B782-4C69-8F6D-8CD683CAF9DD&blnFromSearch=1&productcode=US

  8. YOU TRY IT: Solve the system by Graphing:

  9. YOU TRY IT: (SOLUTION) (1,4)

  10. CONCEPT SUMMARY: http://www.khanacademy.org/math/algebra/systems-of-eq-and-ineq/fast-systems-of-equations/v/solving-linear-systems-by-substitution?exid=systems_of_equations http://player.discoveryeducation.com/index.cfm?guidAssetId=A9199767-40AB-4AD1-9493-9391E75638D0

  11. YOU TRY IT: Solve the system by Substitution:

  12. YOU TRY IT:(SOLUTION)  x = 1

  13. CONCEPT SUMMARY: (continue) http://www.khanacademy.org/math/algebra/systems-of-eq-and-ineq/fast-systems-of-equations/v/solving-systems-of-equations-by-elimination http://player.discoveryeducation.com/index.cfm?guidAssetId=02B482AE-EB9F-4960-BC5C-7D2360BDEE66

  14. YOU TRY IT: Solve the system by Elimination:

  15. YOU TRY IT: (SOLUTION) +  x = 1 10  y = 4

  16. System of equations help us solve real world problems. ADDITIONALLY: http://player.discoveryeducation.com/index.cfm?guidAssetId=A9199767-40AB-4AD1-9493-9391E75638D0 VIDEO-Word Prob.

  17. NOTE: We can solve system of equations using a graph, the substitution or eliminations process. The best method to use will depend on the form of the equations and how precise we want the answer to be.

  18. Break-Even Point:The point for business is where the income equals the expenses. 6.4 Application of Linear Systems:

  19. GOAL:

  20. MODELING PROBLEMS: Systems of equations are useful to for solving and modeling problems that involve mixtures, rates and Break-Even points. Ex: A puzzle expert wrote a new sudoku puzzle book. His initial costs are $864. Binding and packaging each book costs $0.80. The price of the book is $2.00. How many books must be sold to break even?

  21. SOLUTION: 1) Write the system of equations described in the problem. Let x = number of books sold Let y = number of dollars of expense or income Expense: y = $0.80x + 864 Income: y = $2x

  22. SOLUTION: (Continue) 2) Solve the system of equations for the break-even point using the best method. To break even we want: Expense = Income $0.80x + 864 = $2x 864 = 2x -0.80x 864 = 1.2x 720 = x There should be 720 books sold for the puzzle expert to break-even.

  23. YOU TRY IT: Ex: A fashion designer makes and sells hats. The material for each hat costs $5.50. The hats sell for $12.50 each. The designer spends $1400 on advertising. How many hats must the designer sell to break-even?

  24. SOLUTION: 1) Write the system of equations described in the problem. Let x = number of hats sold Let y = number of dollars of expense or income Expense: y = $5.50x + $1400 Income: y = $12.50x

  25. SOLUTION: (Continue) 2) Solve the system of equations for the break-even point using the best method. To break even we want: Expense = Income $5.50x + $1400 = $12.50x 1400 = 12.5x -5.50x 1400 = 7x 200 = x There should be 200 hats sold for the fashion designer to break-even.

  26. VIDEOS: Special Linear Equations https://www.khanacademy.org/math/algebra/systems-of-eq-and-ineq/fast-systems-of-equations/v/special-types-of-linear-systems

  27. CLASSWORK:Page 386-388 Problems: As many as needed to master the concept.

  28. SUMMARY: http://www.bing.com/videos/search?q=SYSTEM+OF+EQUATIONS+&view=detail&mid=2CFE63B47EDB353AFDCF2CFE63B47EDB353AFDCF&first=0&FORM=NVPFVR

More Related