1. Chapter 6 Content by: Kaylee Vander Wal Template Design by: Mark Geary
Substitution
Inequalities
Miscellaneous
Graphing
Elimination
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Final Jeopardy

2. $100 Question from A1
When do we use the graphing method to solve a system of linear equations?

3. $100 Answer from A1
What is when you want a visual display of the system of equations or when you want an estimation?

4. $200 Question from A1
What is the solution to this system of equations?

5. $200 Answer from A1
What is (-2,-1)?

6. $300 Question from A1
What does the graph of a system of infinitely many solutions look like?

7. $300 Answer from A1
What is ?

8. $400 Question from A1
If the graph of the equations are parallel lines, is it possible for the system to have infinitely many solutions? Explain.

9. $400 Answer from A1
What is No, linear equations that are parallel never intersect. Therefore, they have no solutions?

10. $500 Question from A1
Graph the following systems of equations to solve:
y = x – 3
2x + y = 6

11. $500 Answer from H1
What is (3, 0)?

12. $100 Question from H2
When should we use substitution to solve systems of equations.

13. $100 Answer from H2
What is when one equation is already solved for one of the variables or when it is easy to solve for one of the variables?

14. $200 Question from H2
What is the first step in solving a system of equations using substitution?

15. $200 Answer from H2
What is solving one equation for one of the variables?

16. $300 Question from H2
What should one do after they believe they found the solution to a system of equations?

17. $300 Answer from H2
What is perform a check?

18. $400 Question from H2
Solve the system using substitution:
x + 2y = -1
2x – 3y = 12

19. $400 Answer from H2
What is (3, -2)?

20. $500 Question from H2
Where is the mistake?

21. $500 Answer from H2
What is substituting the Y value back into an equation.

22. $100 Question from H3
When should you use the elimination method?

23. $100 Answer from H3
What is when the coefficients of one variable are the same or opposites?

24. $200 Question from H3
After working through a system of equations using elimination, you come to the following conclusion: 5=-5
What can you conclude?

25. $200 Answer from H3
What is no solution?

26. $300 Question from H3
What do you do after you “eliminate” one variable?

27. $300 Answer from H3
What is solve for the variable that remains in the problem?

28. $400 Question from H3
x + y = 4
x – y = 6

29. $400 Answer from H3
What is (5, -1)?

30. $500 Question from H3
7x – 8y = 11
8x – 7y = 7

31. $500 Answer from H3
Who is (-7/5, -39/15)?

32. $100 Question from H4
When do we use a dashed line?

33. $100 Answer from H4
What is > or <?

34. $200 Question from H4
When do we use a solid line when graphing?

35. $200 Answer from H4
What is ≥ or ≤?

36. $300 Question from H4
Graph the inequality.
2x + 3y ≤ 6

37. $300 Answer from H4
What is ?

38. $400 Question from H4
Write a system of inequalities for the graph below.

39. $400 Answer from H4
Who is y ≥ x -1
y < -1/2 + 5?

40. $500 Question from H4
Solve the system of inequalities by graphing.
2x + 3y ≤ 6
3x + 2y ≤ 6

41. $500 Answer from H4
What is ?

42. $100 Question from H5
For a work banquet, Jack can spend no more than $200 on dessert. Fruit pies cost $9 each and cakes cost $20 each. Write the linear inequality that models the situation.

43. $100 Answer from H5
What is 9p + 20c ≤ 200?

44. $200 Question from H5
A plant nursery is growing a tree that is 3 feet tall and grows at an average rate of 1 foot per year. Another tree at the nursery is 4 feet tall and grows at an average rate of 0.5 feet per year. After how many years will the trees be the same height?

45. $200 Answer from H5
What is 2 years?

46. $300 Question from H5
Determine whether the ordered pair (8,2) is a solution to the given systems:
3x – 2y ≤ 17
0.3x + 4y > 9

47. $300 Answer from H5
What is no?

48. $400 Question from H5
The concession stand is selling hot dogs and hamburgers during a game. At halftime, they sold a total of 78 hot dogs and hamburgers and brought in $ How many of each item did they sell if hamburgers sold for $1.50 and hot dogs sold for $1.25?

49. $400 Answer from H5
What is 46 hotdogs and 32 hamburgers?

50. $500 Question from H5
Write a system of equations that you would want to use elimination to solve.

51. $500 Answer from H5
What is 2x + y = 8
4x – y = 12?

52. Final Jeopardy
What is my name?

53. Final Jeopardy Answer
What is Ms. Vander Wal?