Jeopardy #12

Sequences

100

900, 700, 500, 300, ?

100

200

-5, -8, -11, -14, ?

-17

300

2, 8, 32, 128, ?

512

400

800, 400, 200, 100, ?

50

500

3, -6, 12, -24, ?

48

Equations

100

3x = 21     x = ?

x = 7

200

4x + 3 = 23     x = ?

4x = 20

  x = 5

300

x/2 = 14     x = ?

x = 28

400

2x + 5x = 21     x = ?

7x = 21

  x = 3

500

-5x + 2 = -18     x = ?

-5x = -20

   x = 4

Functions

100

f(x) = 3x + 10

f(5) = ?

f(5) = 3(5) + 10

       = 15  + 10

       = 25

200

f(x) = -20x

f(4) = ?

f(4) = -20(4)

       = -80

300

f(x) = x² + 5

f(6) = ?

f(6) = (6)²  +  5

       = 36  +  5

       = 41

400

f(x)  =  x/5

f(100) = ?

f(100) = 100/5

          =   20

500

f(x) = 3x + 2

f(x) = 29     x = ? 

29 = 3x + 2

27 = 3x

  9  =  x

Exponents

100

y⁵ * y² = ?

y⁵⁺²

y⁷

200

x⁹ * x¹⁰ * x²  =  ?

x⁹⁺¹⁰⁺²

x²¹

300

z¹²/z⁶  =  ?

z^12-6

z⁶

400

(3x²)² =  ?

(3x²)(3x²)

=   9x⁴

500

(5x³y⁵z²)²

(5x³y⁵z²)(5x³y⁵z²)

=  25x⁶y¹⁰z⁴

Transformations

100

The point P(3, 5) is translated up 4.

What is P'(?, ?)

P'(3, 5 + 4)

P'(3, 9)

200

The point J(2, 5) is translated right 4 and down 1.

What is J'( ? , ? )

J'(2 + 4 , 5 - 1)

J'(6 , 4)

300

The point B(-1, 7) is reflected across the y-axis.

What is B'(?, ?)

reflect across the y-axis (x, y) --> (-x, y)

B'(1, 7)

400

The point C(-5, 6) is reflected across the x-axis.

What is C'(?, ?)

reflect across the x-axis (x, y) --> (x, -y)

C'(-5, -6)

500

The point T(7, -5) is rotated 180 degrees.

What is T'(?, ?)

rotate 180 (x, y) --> (-x, -y) 

T'(-7, 5)