Algebra Jeopardy!

Track and Field

100

Simplify the expression with positive exponents:

2² x 2⁵

2⁷

200

Simplify the expression with positive exponents:

(-10)¹⁰ ÷ (-10)⁹

(-10)¹

300

Simplify the expression with positive exponents:

2² x 5²

can't simplify since they don't share the same base

400

Simplify the expression with positive exponents:

(8y²)²

8² * y⁴

500

Simplify the expression with positive exponents:

1 / (x)^-3

x³

Baseball

100

Find the root(s) of the expression:

√64

+8 and -8

200

Find the root(s) of the expression:

(-8)^1/3

-2

300

Find the root(s) of the expression:

⁴√-16

no real solutions

400

Find the root(s) of the expression:

9^1/6 x 9^2/6

+3 and -3

500

Find the root(s) of the expression:

4^3/2

8

Flag Football

100

Determine if the function represents exponential growth or decay, then find the rate of growth/decay:

y = 1000(1+0.7)^x

Growth; r = 0.7 = 70%

200

Determine if the function represents exponential growth or decay, then find the rate of growth/decay:

y = -5(1-0.05)^x

Decay; r = 0.05 = 5%

300

Determine if the function represents exponential growth or decay, then find the rate of growth/decay:

y = 6(1.1)^x

Growth; r = 0.1 = 10%

400

Determine if the function represents exponential growth or decay, then find the rate of growth/decay:

y = 0.2(0.2)^x

Decay; r = 0.8 = 80%

500

Determine if the function represents exponential growth or decay, then find the rate of growth/decay:

y = 90(0.01)^x

Decay; r = 0.99 = 99%

Waterpolo

100

Determine the equation that describes the table below:

x |  0   |  1   |   2  |  3  |

y |  1   |  2   |   4  |  8  |

Growth, y = 1(2)^x

200

Determine the equation that describes the table below:

x |  0   |  1   |   2  |  3  |

y |  16   |  4   |   1  |  1/4  |

Decay, y = 16(1/4)^x

300

Determine the equation that describes the table below:

x |  2   |  1   |   0  |  -1  |

y |  0.1   |  1   |   10  |  100  |

Decay, y = 10(1/10)^x

400

Determine the equation that describes the table below:

x |  -2   |  0   |   2  |  4  |

y |  1   |  4   |   16  |  64  |

Growth, y = 2(2)^x

500

Determine the equation that describes the table below:

x |  6   |   4  |   2  |  0  |

y |   1  |  4   |  16  |  64  |

y = 64(1/2)^x

Tennis

100

Solve the exponential function by finding the value of x:

2^x+3=2⁶

x = 3

200

Solve the exponential function by finding the value of x:

7^3x+5=7^x-1

x = -3

300

Solve the exponential function by finding the value of x:

7^x-5= 49^x

x = -5

400

Solve the exponential function by finding the value of x:

8^3x=16^x+1

x = 4/5

500

Solve the exponential function by finding the value of x:

(1/4)³ = 8^2x 

x = -1