Jeopardy #6

Sequences

100

46, 51, 56, 61, ?

66

200

81, 78, 75, 72, ?

69

300

-3, -6, -9, -12, ?

-15

400

3, 6, 12, 24, ?

48

500

1200, 600, 300, 150, ?

75

Linear or Exponential?

100

Linear or Exponential?  Why?

1, 2, 4, 8, ...

Exponential

Multiply by 2  (por 2)

200

Linear or Exponential?  Why?

50, 40, 30, 20, ...

Linear

Subtract 10  (menos 10)

300

Linear or Exponential?  Why?

200, 100, 50, 25, ...

Exponential

multiply by 0.5  (por 0.5)

400

Linear or Exponential?

f(x) = 8 + 3x 

Linear

+  (mas)

500

Linear or Exponential?

f(x) = 3(2)^x

Exponential

(2) multiply (por)

x is an exponent

Equations

100

4x + 2 = 10     x = ?

4x + 2 = 10

      4x = 8

        x = 2

200

-4x + 2 = 10     x = ?

-4x + 2 = 10    

 -4x = 8

    x = -2

300

3x + 5x = 16     x = ?

3x + 5x = 16

        8x = 16

          x = 2

400

9x - 6x + 5 = 8       x = ?

9x - 6x + 5 = 8

       3x + 5 = 8

        3x   =  3

          x = 1

500

24 = 12 - 6x     x = ?

24 = 12 - 6x

12 = -6x

-2 = x

Inequalities

100

Is x = 2 a solution ?

4x > 5

4x > 5

4(2) > 5

8 > 5  Yes

200

Is x = 5 a solution?

9x + 1 < 40

9x + 1 < 40

9(5) + 1 < 40  ?

45 + 1 < 40

46 < 40   No!

300

Is x = 0 a solution?

-234x + 5 > 3

-234x + 5 > 3

-234(0) + 5 > 3   ?

0  +  5  >  3

5 > 3     Yes!

400

Is x = -1 a solution?

4x > 4

    4x > 4

4(-1) > 4

   -4  >  4    No!

500

Is x = -3 a solution?

-2x + 1 > 7

   -2x + 1 > 7

-2(-3) + 1 > 7

       6 + 1 > 7

             7 > 7   No!

What is the equation?

100

What is the equation?

f(x) = b + mx

2, 5, 8, 11, ...

f(x) = 2 + 3x

200

What is the equation?

f(x) = a(b)^x

2, 6, 18, 54, ...

f(x) = 2(3)^x

300

What is the equation?

15, 20, 25, 30, ...

f(x) = 15 + 5x

400

What is the equation?

4, 8, 16, 32, 64, ...

f(x) = 4(2)^x

500

What is the equation?

100, 50, 25, 12.5, ...

f(x) = 100(0.5)^x