Jeopardy #13

Sequences

100

90, 84, 78, 72, ?

66

200

1, 2, 4, 8, ?

16

300

-6, -10, -14, -18, ?

-22

400

200, 100, 50, 25, ?

12.5

500

3, -6, 12, -24, ?

48

Equations

100

11x = 44     x = ?

x = 4

200

3x + 5 = 35     x = ?

3x = 30

  x = 10

300

2x + 5x = 35     x = ?

7x = 35

  x = 5

400

3(x + 7) = 27

3x + 21 = 27

 3x  =  6

   x = 2

500

2x + 3x + 4x - 3x = 30     x = ?

6x = 30

  x = 5

Functions

100

f(x) = 5x + 1

f(4) = ?

f(4) = 5(4) + 1

       = 20  +  1

        = 21

200

f(x) = -2x + 10

f(5) =  ?

f(5) = -2(5) + 10

       =  -10  +  10

       =       0

300

f(x) = x² + 3

f(5) =  ?

f(5) = (5)² + 3

       = 25 + 3

       =    28

400

f(x) = 3x - 5x

f(1) =  ?

f(1) = 3(1) - 5(1)

       =  3   -   5

        =    -2

500

f(x) = x² - 1

f(x) = 15

x = ?

15 = x² - 1

16 = x²

 4  =  x

Exponents

100

x⁴ * x⁹ = ?

x¹³

200

x²⁰/x¹⁰ = ?

x¹⁰

300

x⁸ * x^-2 * x⁵ = ?

x¹¹

400

(3x⁴)² = ?

(3x⁴)(3x⁴)

= 9x⁸

500

(4x³y⁵z²)² = ?

(4x³y⁵z²)(4x³y⁵z²) 

= 16x⁶y¹⁰z⁴

Transformations

100

Use the rule to transform point P(3, 5)

(x, y) --> (x + 2, y - 3)

P'( ? , ? ) 

P'(5, 2)

200

Use the rule to transform point B(3, -1)

(x, y) --> (x - 1, y)

B'( ? , ? )

B'(2, -1)

300

Use the rule to transform point A(-3, -4)

(x, y)  -->  (- x, - y)

A'( ? , ? )

A'(3, 4)

400

Use the rule to transform point C(-5, 7)

(x, y)  -->  ( - y, x)

C'( ? , ? )

C'(-7, -5)

500

Use the rule to transform point M(2, 8)

(x, y)  -->  ( y , - x)

M'( ? , ? )

M'(8, -2)