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Nicholas S. Walker Tri-County High SchoolMathematics Tournament

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The Nicholas S. Walker Tri-County High School Mathematics Tournament

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The Nicholas S. Walker Tri-County High School Mathematics Tournament Pre-Calculus Competition

The Nicholas S. Walker Tri-County High School Mathematics TournamentPre-calculus Question 1

3pts.

Solve:

373 xx


2pts.

Solve:

373 xx


1pt.

Solve:

373 xx


The correct answer is:


1x2x

and


The Nicholas S. Walker Tri-County High School Mathematics Tournament Pre-calculus Competition


3pts.

What is the inverse of:

12

13


2pts.


12

13


1pt.


12

13


32

11


3pts.

State the domain of:

24)( xxf


2pts.


24)( xxf


1pt.


24)( xxf

The Nicholas S. Walker Tri-County High School Mathematics Tournament Pre-calculus Question 3



2,2


3pts.

Simplify:

12

217

168

162

2

2

2

xx

xx

xx

x


2pts.

Simplify:

12

217

168

162

2

2

2

xx

xx

xx

x


1pt.

Simplify:

12

217

168

162

2

2

2

xx

xx

xx

x


1


3pts.

State the exact value of :

1140sin


2pts.


1140sin


1pt.


1140sin


2

3


3pts.

State the amplitude of:

)72cos(5 xy


2pts.


)72cos(5 xy


1pt.


)72cos(5 xy

The Nicholas S. Walker Tri-County High School Mathematics TournamentPre-Calculus Question 6



5


3pts.

State the exact value of:

6sin4

4cos2


2pts.


6sin4

4cos2


1pt.


6sin4

4cos2


22


3pts.

Solve for z:

223

1224

261053

yx

yx

zyx


2pts.

Solve for z:

223

1224

261053

yx

yx

zyx


1pt.

Solve for z:

223

1224

261053

yx

yx

zyx


1z


3pts.

State the exact value in radians of:

2

3sin 1


2pts.


2

3sin 1


1pt.


2

3sin 1


3

2

3

OR


3pts.

Simplify using the reduction formula

)3tan(


2pts.


)3tan(


1pt.


)3tan(


tan


3pts.

Solve for x:

2452 33 xx


2pts.

Solve for x:

2452 33 xx


1pt.

Solve for x:

2452 33 xx


6x


3pts.

Write in polar form:

0422 yyx


2pts.


0422 yyx


1pt.


0422 yyx


sin4r


3pts.

Write in standard form:

253


2pts.


253


1pt.


253


i53


3pts.

Convert to degrees:

3

10


2pts.

Convert to degrees:

3

10


1pt.

Convert to degrees:

3

10


600

Do we have a winner?


The Nicholas S. Walker Tri-County High School Mathematics Tournament Pre-calculus Tie Breaker 1

3pts.

Find the product:

3)1( x


2pts.

Find the product:

3)1( x


1pt.

Find the product:

3)1( x

The Nicholas S. Walker Tri-County High School Mathematics TournamentPre-calculus Tie Breaker 1



133 23 xxx


3pts.

Evaluate:

)!7)(!3(

!9


2pts.

Evaluate:

)!7)(!3(

!9


1pt.

Evaluate:

)!7)(!3(

!9


12


3pts.

Find the product and write in standard form:

ii 231


2pts.


ii 231


1pt.


ii 231


i5


3pts.

Write in terms of ln 2

and ln 3

27

2ln


2pts.


and ln 3

27

2ln


1pt.


and ln 3

27

2ln


3ln32ln

The Nicholas S. Walker Tri-County High School Mathematics Tournament

THANK YOU! MHS

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