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Linear Equations 10 20 30 40 50 2 points 10 20 30 40 50 Functions 10 20 30 40 50 Tables & Graphs 10 20 30 40 50 Misc. 20 30 40 50 Parallel/ Perpendicular.

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Presentation on theme: "Linear Equations 10 20 30 40 50 2 points 10 20 30 40 50 Functions 10 20 30 40 50 Tables & Graphs 10 20 30 40 50 Misc. 20 30 40 50 Parallel/ Perpendicular."— Presentation transcript:

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2 Linear Equations

3 10 20 30 40 50 2 points 10 20 30 40 50 Functions 10 20 30 40 50 Tables & Graphs 10 20 30 40 50 Misc. 20 30 40 50 Parallel/ Perpendicular 10

4 What is the slope between the points (-4, -3) and (2, 0) ? A10

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6 What is the y-intercept for the line that passes through the points (-1, 13) and (1, 5)? A20

7 What is: 9 A20

8 What is the equation of the line passing the points (-7, -9) and (5, 3) A30

9 What is: y = x - 2 A30

10 What is the equation of the line passing the points (0, -4) and (-4, 6) A40

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12 What is the equation of the line passing through the points (3, 1) and (9, 5)? A50

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14 f(x) = 3x + 7 What is f(-2)? B10

15 What is: f(-2) = 1 f(-2) = 3(-2) + 7 f(-2) = -6 + 7 f(-2) = 1 B10

16 Given the set of points {(3, 2), (5, 8), (7, 2) (5, 10)} Name one point that would have to be removed from the set in order for this to be a function? (There are two possible answers) B20

17 What is: (5, 8) or (5, 10) {(3, 2), (5, 8), (7, 2) (5, 10)} Functions may not have repeated x values B20

18 f(x) = -3x – 14 Find f(12) B30

19 What is: f(12) = -50 f(12) = -3(12) – 14 f(12) = -36 – 14 f(12) = -50 B30

20 f(x) = 4 + x g(x) = f(x) – 14 What is the value of g(10)? B40

21 What is: g(10) = 0 B40 f(10) = 4 + 10 f(10) = 14 g(10) = f(10) – 14 g(10) = 0

22 f(x) = 12 - 3x g(x) = 2f(x) + 3 What is the value of g(-2)? B50

23 What is: g(-2) = 39 f(-2) = 12 – 3(-2) f(-2) = 12 + 6 f(-2) = 18 g(-2) = 2f(-2) + 3 g(-2) = 2(18) + 3 g(-2) = 36 + 3 g(-2) = 39 B50

24 Write an equation to represent the data in the table below: x345 y-2-3 C10

25 x012345 y210-2-3 C10

26 What is the equation for the graph modeled below? C20

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28 Write an equation to represent the data in the table below: x506070 y101214 C30

29 x010203040506070 y02468101214 C30

30 x261014 y12182430 Write an equation to represent the data in the table below: C40

31 x-20261014 y6912182430 C40

32 What is the equation for the graph modeled below? C50

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34 Is the following table of data a direct variation? D10 x-201 y1680-8

35 What is: Yes! D10 x-201 y1680-8 The data is linear, increases AND passes through the point (0,0)

36 Find the unknown coordinate of the point (x, 5), which lies on the line 3x + 7 = 5y D20

37 What is: x = 6 D20 3x + 7 = 5y (x, 5) 3x + 7 = 5(5) 3x + 7 = 25 3x = 18 X = 6

38 Is the following table of data a direct variation? D30 x-42816 y-2147

39 What is: No! D30 x-42816 y-2147 The data is NOT linear, therefore it cannot be a direct variation. Direct Variation needs to be linear AND pass through the point (0, 0)

40 Find the unknown coordinate of the point (6, y), which lies on the line x – 2y = 8 D40

41 What is: y = -1 D40 x – 2y = 8 (6, y) 6 - 2y= 8 -2y = 2 y = -1

42 The point (-1, 0) is on the line whose equation is y = kx + 5. What is the value of k? D50

43 What is: k = 5 D50 y = kx + 5 (-1,0) 0 = k(-1) + 5 -5 = -1k 5 = k

44 What is the equation of a line that is parallel to y = 3x + 7 and passes through the point (1, -12)? E10

45 What is: y = 3x - 15 E10

46 What is the equation of the line that is perpendicular to y = 15 – 4x and passes through the point (-4, 15)? E20

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48 What is the equation of a line that passes through the point (6, 16) and is parallel to the y-axis ? E30

49 What is: x = 6 X = 6 Vertical Line through (6, 16) E30

50 What is the equation of a line that passes through the point (0, 30) and is parallel to the x-axis E40

51 What is: y = 30 Horizontal Line through (0, 30) E40

52 What is the equation of the line that is perpendicular to the x-axis and passes through the point (7, 18) E50

53 What is: X = 7 Vertical Line through (7, 18) E50

54 Final Jeopardy

55 What is: 23 slices


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