Math Jeopardy

exponential equations

100

a^-1/4

1/4root of a

200

9³

3⁶  or (3²)³

300

8³

2¹¹

400

Write with log base 10 

x= a²

 

log x=2 log a

500

A car was purchased for 33,000 KWD and its value depreciates by 9% every year. What’s it’s value after 5 years? (Round to the nearest one)

x=33,000(1-0.09)⁵=20593

algebra

100

x+13=22

 

x=9

 

200

Simplify        2x²+2x+3x²−4x−7

5x²−2x−7

300

3x+16=22

 

x=2

400

x²+11x+24

(x+3)(x+8)

500

Using the Quadratic Formula, solve:  2x²−4x−2=0

x=2.41 or−0.41

complex numbers

100

i²

-1

200

root -13 

i root 13

300

root -49

7i

400

Simplify:    3−2i/5

-3i-2/5

500

(5− 3i)− (−2+4i)

7−7i

trigonometry

100

Find the hypotenuse.

15²+7²=x  

x²=274

x=16.55 cm

200

find angle 

cosθ=7/15   θ=cos−17/15𝜃=cos^-1⁡ (7/15)     θ=62.18°

 

300

find x

cosθ=9/23 θ=cos⁻¹9/23 θ=66.96° tan66.96=x/9

 x= 9/tan66.96  x=3.83 cm 

400

A camping van drives in the direction 153° and stops when it is at 20 km from their starting place. How far did the van drive? 

Answer: 22.44 km

500

Find the length of DF. 

Answer: 8.48 cm