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Systems of Equations Substitution Elimination Inequalities Systems of Inequalities Q $100 Q $200 Q $300 Q $400 Q $500 Q $100 Q $200 Q $300 Q $400 Q $500.

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Presentation on theme: "Systems of Equations Substitution Elimination Inequalities Systems of Inequalities Q $100 Q $200 Q $300 Q $400 Q $500 Q $100 Q $200 Q $300 Q $400 Q $500."— Presentation transcript:

1 Systems of Equations Substitution Elimination Inequalities Systems of Inequalities Q $100 Q $200 Q $300 Q $400 Q $500 Q $100 Q $200 Q $300 Q $400 Q $500 Final Jeopardy Algebra 3-4 Chapter 3 Systems of Equations

2 What is the solution to this system of equations? Jeopardy

3 (1,6) Jeopardy

4 A system of equations has been graphed at the right. What is the solution to this system of equations? Jeopardy Each tick mark = 1

5 (3,3) Jeopardy

6 (1,2) is a solution to which system of equations? Jeopardy

7

8 Given the system of equations, what do you know about their solution? Jeopardy

9 There is no solution— The lines are parallel— They lines will not intersect Jeopardy

10 xy -20 02 24 46 68 xy 5 08 111 214 317 Each table represents a set of linear data. What is the solution to this system of equations?

11 (-3,-1) Jeopardy xy -4-2 -3 -20 02 24 46 68 xy -3 5 08 111 214 317

12 Solve this system of equations by substitution: Jeopardy

13 (2,6)

14 Jeopardy Solve this system of equations by substitution:

15 Jeopardy (3, 4.5)

16 Jeopardy Solve this system of equations by substitution:

17 (6, 4) Jeopardy

18 Solve this system of equations by substitution:

19 (0, 2) Jeopardy

20 Which system of equations if already set up to use the substitution method to solve for the solution? Jeopardy

21

22 You want to use the elimination method to solve for the solution to this system of equations. Tell how you can eliminate the y term.

23 Jeopardy Multiply the first equation by -8 and the second equation by 7 and then add the equations. Or Multiply the first equation by 8 and the second equation by 7 and then subtract the equations

24 Jeopardy Solve this system of equations by elimination:

25 Jeopardy (20,40)

26 Jeopardy Solve this system of equations by elimination:

27 Jeopardy (-2.5, -1)

28 Jeopardy Solve this system of equations by elimination:

29 Jeopardy Infinitely many solutions because the two equations are the same line.

30 Jeopardy Solve this system of equations by elimination:

31 (1, 3) Jeopardy

32 The shaded region show what statement: Jeopardy

33

34 Write an inequality statement for the graph at the right. Jeopardy

35

36 What inequality statement is graphed at the right? Jeopardy

37

38 What inequality statement is graphed at the right?

39 Jeopardy

40 What inequality statement is graphed at the right?

41 x< 2 Jeopardy

42 The dark blue section represents the solution of a system of inequalities. Jeopardy True or False The points (4,1) is in the solution set.

43 False Jeopardy

44 One of the inequalities in the system is: Jeopardy The dark blue section represents the solution of a system of inequalities.

45 Jeopardy

46 The dark blue section represents the solution of a system of inequalities. Complete this statement: Jeopardy (2, ___) is a solution of the system of inequalities.

47 Any point (2,y) where y>2 Jeopardy

48 One inequality that is graphed at the right is What is the other inequality that yields the green region? Jeopardy

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50 Write a system of inequalities for the solution shown on the graph. Jeopardy

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52 Complete the following statements: 1.A system of two linear equations has no solution if … 2.A system of two linear equations has infinitely many solutions if … 3.A system of two linear equations has exactly one solution if …

53 1.The equations have different y-intercepts and the same slope (parallel lines) 2.The equations have the same y-intercept and the same slope (same lines) 3.The equations have different slopes and different y-intercepts (intersecting lines) Jeopardy


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