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Template by Bill Arcuri, WCSD Click Once to Begin JEOPARDY! 8 TH GRADE MATH Unit 6 Solving Systems of Equations.

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Presentation on theme: "Template by Bill Arcuri, WCSD Click Once to Begin JEOPARDY! 8 TH GRADE MATH Unit 6 Solving Systems of Equations."— Presentation transcript:

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2 Template by Bill Arcuri, WCSD Click Once to Begin JEOPARDY! 8 TH GRADE MATH Unit 6 Solving Systems of Equations

3 Template by Bill Arcuri, WCSD JEOPARDY! Solve by Graphing Solve by Substitution Solve by Elimination Systems of Inequalities Word Problems Kickin’ it up a notch

4 Template by Bill Arcuri, WCSD Daily Double Graphic and Sound Effect! DO NOT DELETE THIS SLIDE! Deleting it may cause the game links to work improperly. This slide is hidden during the game, and WILL not appear. In slide view mode, copy the above (red) graphic (click once to select; right click the border and choose “copy”). Locate the answer slide which you want to be the daily double Right-click and choose “paste”. If necessary, reposition the graphic so that it does not cover the answer text. Daily Double!!!

5 Template by Bill Arcuri, WCSD Topic Points Solve the system by graphing:

6 Template by Bill Arcuri, WCSD Topic Points Answer Solve the system by graphing: NO SOLUTION, lines are parallel

7 Template by Bill Arcuri, WCSD Topic Points Solve the system by graphing: 2y = -4x + 4 Y = -2x + 2

8 Template by Bill Arcuri, WCSD Topic Points Answer Solve the system by graphing: 2y = -4x + 4 Y = -2x + 2 Infinite Solutions (same lines)

9 Template by Bill Arcuri, WCSD Topic Points Solve the system by graphing:

10 Template by Bill Arcuri, WCSD Topic Points Answer Solve the system by graphing: (2,1)

11 Template by Bill Arcuri, WCSD Topic Points Solve the system by graphing:

12 Template by Bill Arcuri, WCSD Topic Points Answer Solve the system by graphing: (-1,2)

13 Template by Bill Arcuri, WCSD Topic Points Column 1Column 2 Solve the system by graphing:

14 Template by Bill Arcuri, WCSD Topic Points Answer Solve the system by graphing: (-2,3)

15 Template by Bill Arcuri, WCSD Topic Points Solve the system by substitution: y = 4x x + y = 5

16 Template by Bill Arcuri, WCSD Topic Points Answer (1,4)

17 Template by Bill Arcuri, WCSD Topic Points Solve the system by substitution: x = -4y 3x + 2y = 20

18 Template by Bill Arcuri, WCSD Topic Points Answer (8,-2)

19 Template by Bill Arcuri, WCSD Topic Points Solve the system by substitution: y = 2x – 2 y = x + 2

20 Template by Bill Arcuri, WCSD Topic Points Answer (4,6)

21 Template by Bill Arcuri, WCSD Topic Points Solve the system by substitution: x + 14y = 84 2x – 7y = -7

22 Template by Bill Arcuri, WCSD Topic Points Answer (14,5)

23 Template by Bill Arcuri, WCSD Topic Points Solve the system by substitution: Tickets to a movie cost $7.25 for adults And $5.50 for students. A group of Friends purchased 8 tickets for $ How many adult and student tickets were Purchased?

24 Template by Bill Arcuri, WCSD Topic Points Answer a + s = a s = adult and 3 student tickets sold.

25 Template by Bill Arcuri, WCSD Topic Points Solve by elimination: p + q = -2 p – q = 8

26 Template by Bill Arcuri, WCSD Topic Points Answer Solve by elimination: p + q = -2 P – q = 8 (3, -5)

27 Template by Bill Arcuri, WCSD Topic Points Solve by elimination: 7x + 2y = 2 7x – 2y = -30

28 Template by Bill Arcuri, WCSD Topic Points Answers Solve by elimination: 7x + 2y = 2 7x – 2y = -30 (-2, 8)

29 Template by Bill Arcuri, WCSD Topic Points Solve by elimination: -4y + x = x + 4y = 10

30 Template by Bill Arcuri, WCSD Topic Points Answer Solve by elimination: -4y + x = x + 4y = 10 (2.5, 1.25)

31 Template by Bill Arcuri, WCSD Topic Points Solve by elimination: -11x – 10y = 17 5x – 7y = 50

32 Template by Bill Arcuri, WCSD Topic Points Answer Solve by elimination: -11x – 10y = 17 5x – 7y = 50 (3, -5)

33 Template by Bill Arcuri, WCSD Topic Points

34 Template by Bill Arcuri, WCSD Topic Points Answer (-2,4)

35 Template by Bill Arcuri, WCSD Topic Points Solve the system of inequalities : y > x y < x + 1

36 Template by Bill Arcuri, WCSD Topic 4 Template by Bill Arcuri, WCSD 100 Points Answer

37 Template by Bill Arcuri, WCSD Topic Points Solve the system of inequalities :

38 Template by Bill Arcuri, WCSD Topic Points Answer

39 Template by Bill Arcuri, WCSD Topic Points Solve the system of inequalities :

40 Template by Bill Arcuri, WCSD Topic Points Answer

41 Template by Bill Arcuri, WCSD Topic Points Solve the system of inequalities : Daily Double!!!

42 Template by Bill Arcuri, WCSD Topic Points Answer Daily Double!!!

43 Template by Bill Arcuri, WCSD Topic Points Solve the system of inequalities :

44 Template by Bill Arcuri, WCSD Topic Points Answer

45 Template by Bill Arcuri, WCSD Topic Points The sum of 2 numbers is 184. The difference is 14. What are the two numbers?

46 Template by Bill Arcuri, WCSD The numbers are: 99 and 85 Topic Points Answer

47 Template by Bill Arcuri, WCSD Topic Points Two angles are complementary. The measures of the two angles Have a difference of 20 degrees. What is the measure of each angle?

48 Template by Bill Arcuri, WCSD Topic Points Answer 35 degrees and 55 degrees.

49 Template by Bill Arcuri, WCSD Topic Points Vignesh has been saving his dimes and Quarters. He has 94 coins in all, and The total value is $ How many dimes and how many Quarters does Vignesh have?

50 Template by Bill Arcuri, WCSD Topic Points Answer 28 dimes and 66 quarters

51 Template by Bill Arcuri, WCSD Topic Points Betty and Bob went on a Safari. The saw giraffes and ostriches. When they counted, there were 40 heads, and 130 feet. How many giraffes and ostriches Did they see?

52 Template by Bill Arcuri, WCSD Topic Points Answer 15 ostriches 25 giraffes

53 Template by Bill Arcuri, WCSD Topic Points Ally and Matt went shopping for Produce on the same day. Ally bought 8 lbs of apples and 7 lbs of potatoes For $ Matt bought 2 lbs of apples And 10 lbs of potatoes for $ What is the cost of apples and potatoes Per pound?

54 Template by Bill Arcuri, WCSD Topic Points Answer $1.49 per lb $0.99 per lb

55 Template by Bill Arcuri, WCSD Topic Points What does it mean to find “the solution” to a systems of Equations?

56 Template by Bill Arcuri, WCSD Topic Points Answer The solution is the point where The two lines intersect. It is the (x,y) value that satisfies Both equations.

57 Template by Bill Arcuri, WCSD Topic Points What does it mean to find “the solution” to a systems of inequalities?

58 Template by Bill Arcuri, WCSD Topic Points Answer The solution to a system of Inequalities are all of the points that satisfy both inequalities. When you graph them, it is the Section of the graph where shaded sections of the inequalities overlap.

59 Template by Bill Arcuri, WCSD Topic Points Four times one number added to Another number is 36. Three times The first number minus the other Number is 20. Find the numbers.

60 Template by Bill Arcuri, WCSD Topic Points Answer Four times one number added to Another number is 36. Three times The first number minus the other Number is 20. Find the numbers. The numbers are: 8 and 4

61 Template by Bill Arcuri, WCSD Topic Points Daily Double!!! A certain systems consists of 2 equations. One of the equations is ½ x + y = 3. Write a second equation For the system so that the system Has… a)Infinite solutions ____________ b)No solutions__________________ c)Exactly one_______________

62 Template by Bill Arcuri, WCSD Topic Points Answer Daily Double!!! ½ x + y = 3 can be rewritten as y = - ½ x + 3 Answers will vary (samples…) a)x + 2y = 6 (equivalent equation – multiplied by 2) b) y = - ½ x + 5 (same slope – parallel) c) y = 3x – 4 (any equation with different slope will intersect)

63 Template by Bill Arcuri, WCSD Topic Points

64 Template by Bill Arcuri, WCSD 25 pizzas and 36 subs. Topic Points Answer S = p s + 5p = 233 Substitution: 3(p+11) + 5p = 233 3p p = 233 8p = 200 p = 25


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