Double Jeopardy Algebra II - Braylin

Radicals

100

√3x + 1 = 4

x=5

200

√2x + 7 - x = 2

x = -3

300

9√x/5=18

20

400

k=√12+4k

6

500

√n/9=√3n-26

9

Exponents

100

What is 9²

81

200

(4k³)²

16k⁶

300

b³ x 4b^-4

4/b

400

2x x (2x⁴y²)⁴ x xy³

32x¹⁸y¹¹

500

6^2p+2 x 216 = 6³

-1

Logs

100

y^-18=x

log_yx=-18

200

log₂₁₆36

2/3

300

log x5/zy3

5 log x-log z-3 log y

400

6 log z + 30 log x + 6 log y

log(z⁶y⁶x³⁰)

500

log₁₇1/289=-2

17^-2=1/289

SOhCahToa

100

What does "Soh" mean?

Sin opposite/adjacent  (opposite over adjacent)

200

What is tangent?

Sin/Cos, y/x

300

What is the longest angle on a triangle called?

Hypotenuse

400

sin^-11

2pi/4, 3pi/6

500

tan35pi/6

\sqrt{}\-3/3

Special Triangles

100

What does SohCahToa mean?

Sin opposite/hypotenuse Cos adjacent/hypotenuse Tangent opposite/adjacent

200

What are the missing side lengths for a 45-45-90 triangle with a hypotenuse of 5√2

a = 5, b = 5

300

What are the missing side lengths for a 45-45-90 triangle with an adjacent of √2

m = 2, n = √2

400

What are the missing side lengths for a 45-45-90 triangle with the hypotenuse of 3?

x=3√2/2,y=3√2/2

500

What are the missing side lengths for a 30-60-90 triangle with an opposite of 5√6

x = 15√2/2, y= 5√6/2