G7 Jeopardy

Exponents

100

(1/3)^-3 =

(1/3)^-3 = 27

200

(4/25)^-1/2 =

(4/25)^-1/2 = 5/2

300

Simplify: (2m⁶n⁴) / (8n²m)

Simplify: (2m⁶n⁴) / (8n²m)

= m⁵n² / 4

400

26^{9x + 5} = 1

26^{9x + 5} = 1

x = -5/9

500

2^{3x + 5} = 64^{x - 7}

x = 

2^{3x + 5} = 64^{x - 7}

x = 47/3

Logarithms (G8, Difficult!!)

100

log₄(1) =

log₄(1) = 0

200

log₃(-9) =

log₃(-9) = Does Not Exist! (No Solution)

300

log₄([2x + 6] / [x - 1]) = 1

log₄([2x + 6] / [x - 1]) = 1

x = 5

400

log₂(x + 3) = 4 + log₂(x - 3)

log₂(x + 3) = 4 + log₂(x - 3)

--> log₂([x+3] / [x-3]) = 4

2⁴ = (x + 3)/(x - 3)

x = 51/15 = 17/5

500

log(x)^log(x) = 49

log(x)^log(x) = 49

log(x)² = 49

log(x) = +/- 7

x = 10⁷, 10^-7

Exponents 2

300

6^-2x * 6^-x = 1/216

6^-2x * 6^-x = 1/216

x = 

400

81 * 9^-2x-2 = 27

81 * 9^-2x-2 = 27

x = -3/4

500

2^x * (1/32) = 32

2^x * (1/32) = 32

x = 10

Vocabulary

200

二次方程的英文术语是什么？

二次方程的英文术语是什么？

Quadratic Equation

300

The distance from the center of a circle to its edge is its ______

The distance from the center of a circle to its edge is its radius

400

The top and bottom parts of a fraction are called the ________ and the ___________.

The top and bottom parts of a fraction are called the numerator and the denominator.

500

The number Pi comes from taking the _________ of a circle and dividing it by the _________.

The number Pi comes from taking the circumference of a circle and dividing it by the diameter.