nicholas s. walker tri-county high school mathematics tournament

Nicholas S. Walker Tri-County High SchoolMathematics Tournament

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REMEMBERRaise the Answer sheet HighUse your time wiselyOnly correct answers countREDUCE ALL ANSWERSSHOW UNITS IF APPLICABLE

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

Team membersREADYSET …

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

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

2pts.

Solve:

373 xx

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

1pt.

Solve:

373 xx

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

The correct answer is:

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

1x2x

and

Team membersREADYSET …

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 2

3pts.

What is the inverse of:

12

13

The Nicholas S. Walker Tri-County High School Mathematics TournamentPre-calculus Question 2

2pts.

What is the inverse of:

12

13

The Nicholas S. Walker Tri-County High School Mathematics TournamentPre-calculus Question 2

1pt.

What is the inverse of:

12

13

The Nicholas S. Walker Tri-County High School Mathematics TournamentPre-calculus Question 2

The correct answer is:

The Nicholas S. Walker Tri-County High School Mathematics TournamentPre-calculus Question 2

32

11

Team membersREADYSET …

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 3

3pts.

State the domain of:

24)( xxf

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

2pts.

State the domain of:

24)( xxf

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

1pt.

State the domain of:

24)( xxf

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

The correct answer is:

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

2,2

Team membersREADYSET …

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

The Nicholas S. Walker Tri-County High School Mathematics Tournament Pre-calculus Question 4

3pts.

Simplify:

12

217

168

162

2

2

2

xx

xx

xx

x

The Nicholas S. Walker Tri-County High School Mathematics Tournament Pre-calculus Question 4

2pts.

Simplify:

12

217

168

162

2

2

2

xx

xx

xx

x

The Nicholas S. Walker Tri-County High School Mathematics Tournament Pre-calculus Question 4

1pt.

Simplify:

12

217

168

162

2

2

2

xx

xx

xx

x

The Nicholas S. Walker Tri-County High School Mathematics Tournament Pre-calculus Question 4

The correct answer is:

The Nicholas S. Walker Tri-County High School Mathematics Tournament Pre-calculus Question 4

1

Team membersREADYSET …

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 5

3pts.

State the exact value of :

1140sin

The Nicholas S. Walker Tri-County High School Mathematics TournamentPre-calculus Question 5

2pts.

State the exact value of :

1140sin

The Nicholas S. Walker Tri-County High School Mathematics TournamentPre-calculus Question 5

1pt.

State the exact value of :

1140sin

The Nicholas S. Walker Tri-County High School Mathematics TournamentPre-calculus Question 5

The correct answer is:

The Nicholas S. Walker Tri-County High School Mathematics TournamentPre-calculus Question 5

2

3

Team membersREADYSET …

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

The Nicholas S. Walker Tri-County High School Mathematics Tournament Pre-calculus Question 6

3pts.

State the amplitude of:

)72cos(5 xy

The Nicholas S. Walker Tri-County High School Mathematics Tournament Pre-calculus Question 6

2pts.

State the amplitude of:

)72cos(5 xy

The Nicholas S. Walker Tri-County High School Mathematics Tournament Pre-calculus Question 6

1pt.

State the amplitude of:

)72cos(5 xy

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

The correct answer is:

The Nicholas S. Walker Tri-County High School Mathematics Tournament Pre-calculus Question 6

5

Team membersREADYSET …

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

The Nicholas S. Walker Tri-County High School Mathematics Tournament Pre-calculus Question 7

3pts.

State the exact value of:

6sin4

4cos2

The Nicholas S. Walker Tri-County High School Mathematics Tournament Pre-calculus Question 7

2pts.

State the exact value of:

6sin4

4cos2

The Nicholas S. Walker Tri-County High School Mathematics Tournament Pre-calculus Question 7

1pt.

State the exact value of:

6sin4

4cos2

The Nicholas S. Walker Tri-County High School Mathematics TournamentPre-calculus Question 7

The correct answer is:

The Nicholas S. Walker Tri-County High School Mathematics Tournament Pre-calculus Question 7

22

Team membersREADYSET …

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

The Nicholas S. Walker Tri-County High School Mathematics Tournament Pre-calculus Question 8

3pts.

Solve for z:

223

1224

261053

yx

yx

zyx

The Nicholas S. Walker Tri-County High School Mathematics Tournament Pre-calculus Question 8

2pts.

Solve for z:

223

1224

261053

yx

yx

zyx

The Nicholas S. Walker Tri-County High School Mathematics Tournament Pre-calculus Question 8

1pt.

Solve for z:

223

1224

261053

yx

yx

zyx

The Nicholas S. Walker Tri-County High School Mathematics TournamentPre-calculus Question 8

The correct answer is:

The Nicholas S. Walker Tri-County High School Mathematics Tournament Pre-calculus Question 8

1z

Team membersREADYSET …

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

The Nicholas S. Walker Tri-County High School Mathematics Tournament Pre-calculus Question 9

3pts.

State the exact value in radians of:

2

3sin 1

The Nicholas S. Walker Tri-County High School Mathematics Tournament Pre-calculus Question 9

2pts.

State the exact value in radians of:

2

3sin 1

The Nicholas S. Walker Tri-County High School Mathematics Tournament Pre-calculus Question 9

1pt.

State the exact value in radians of:

2

3sin 1

The Nicholas S. Walker Tri-County High School Mathematics TournamentPre-calculus Question 9

The correct answer is:

The Nicholas S. Walker Tri-County High School Mathematics Tournament Pre-calculus Question 9

3

2

3

OR

Team membersREADYSET …

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

The Nicholas S. Walker Tri-County High School Mathematics Tournament Pre-calculus Question 10

3pts.

Simplify using the reduction formula

)3tan(

The Nicholas S. Walker Tri-County High School Mathematics Tournament Pre-calculus Question 10

2pts.

Simplify using the reduction formula

)3tan(

The Nicholas S. Walker Tri-County High School Mathematics Tournament Pre-calculus Question 10

1pt.

Simplify using the reduction formula

)3tan(

The Nicholas S. Walker Tri-County High School Mathematics TournamentPre-calculus Question 10

The correct answer is:

The Nicholas S. Walker Tri-County High School Mathematics Tournament Pre-calculus Question 10

tan

Team membersREADYSET …

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

The Nicholas S. Walker Tri-County High School Mathematics Tournament Pre-calculus Question 11

3pts.

Solve for x:

2452 33 xx

The Nicholas S. Walker Tri-County High School Mathematics Tournament Pre-calculus Question 11

2pts.

Solve for x:

2452 33 xx

The Nicholas S. Walker Tri-County High School Mathematics Tournament Pre-calculus Question 11

1pt.

Solve for x:

2452 33 xx

The Nicholas S. Walker Tri-County High School Mathematics TournamentPre-calculus Question 11

The correct answer is:

The Nicholas S. Walker Tri-County High School Mathematics Tournament Pre-calculus Question 11

6x

Team membersREADYSET …

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

The Nicholas S. Walker Tri-County High School Mathematics Tournament Pre-calculus Question 12

3pts.

Write in polar form:

0422 yyx

The Nicholas S. Walker Tri-County High School Mathematics Tournament Pre-calculus Question 12

2pts.

Write in polar form:

0422 yyx

The Nicholas S. Walker Tri-County High School Mathematics Tournament Pre-calculus Question 12

1pt.

Write in polar form:

0422 yyx

The Nicholas S. Walker Tri-County High School Mathematics TournamentPre-calculus Question 12

The correct answer is:

The Nicholas S. Walker Tri-County High School Mathematics Tournament Pre-calculus Question 12

sin4r

Team membersREADYSET …

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

The Nicholas S. Walker Tri-County High School Mathematics Tournament Pre-calculus Question 13

3pts.

Write in standard form:

253

The Nicholas S. Walker Tri-County High School Mathematics Tournament Pre-calculus Question 13

2pts.

Write in standard form:

253

The Nicholas S. Walker Tri-County High School Mathematics Tournament Pre-calculus Question 13

1pt.

Write in standard form:

253

The Nicholas S. Walker Tri-County High School Mathematics TournamentPre-calculus Question 13

The correct answer is:

The Nicholas S. Walker Tri-County High School Mathematics Tournament Pre-calculus Question 13

i53

Team membersREADYSET …

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

The Nicholas S. Walker Tri-County High School Mathematics Tournament Pre-calculus Question 14

3pts.

Convert to degrees:

3

10

The Nicholas S. Walker Tri-County High School Mathematics Tournament Pre-calculus Question 14

2pts.

Convert to degrees:

3

10

The Nicholas S. Walker Tri-County High School Mathematics Tournament Pre-calculus Question 14

1pt.

Convert to degrees:

3

10

The Nicholas S. Walker Tri-County High School Mathematics TournamentPre-calculus Question 14

The correct answer is:

The Nicholas S. Walker Tri-County High School Mathematics Tournament Pre-calculus Question 14

600

Do we have a winner?

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

Team membersREADYSET …

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

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

3pts.

Find the product:

3)1( x

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

2pts.

Find the product:

3)1( x

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

1pt.

Find the product:

3)1( x

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

The correct answer is:

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

133 23 xxx

Team membersREADYSET …

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

The Nicholas S. Walker Tri-County High School Mathematics Tournament Pre-calculus Tie Breaker 2

3pts.

Evaluate:

)!7)(!3(

!9

The Nicholas S. Walker Tri-County High School Mathematics Tournament Pre-calculus Tie Breaker 2

2pts.

Evaluate:

)!7)(!3(

!9

The Nicholas S. Walker Tri-County High School Mathematics Tournament Pre-calculus Tie Breaker 2

1pt.

Evaluate:

)!7)(!3(

!9

The Nicholas S. Walker Tri-County High School Mathematics TournamentPre-calculus Tie Breaker 2

The correct answer is:

The Nicholas S. Walker Tri-County High School Mathematics Tournament Pre-calculus Tie Breaker 2

12

Team membersREADYSET …

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

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

3pts.

Find the product and write in standard form:

ii 231

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

2pts.

Find the product and write in standard form:

ii 231

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

1pt.

Find the product and write in standard form:

ii 231

The Nicholas S. Walker Tri-County High School Mathematics TournamentPre-calculus Tie Breaker 3

The correct answer is:

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

i5

Team membersREADYSET …

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

The Nicholas S. Walker Tri-County High School Mathematics Tournament Pre-calculus Tie Breaker 4

3pts.

Write in terms of ln 2

and ln 3

27

2ln

The Nicholas S. Walker Tri-County High School Mathematics Tournament Pre-calculus Tie Breaker 4

2pts.

Write in terms of ln 2

and ln 3

27

2ln

The Nicholas S. Walker Tri-County High School Mathematics Tournament Pre-calculus Tie Breaker 4

1pt.

Write in terms of ln 2

and ln 3

27

2ln

The Nicholas S. Walker Tri-County High School Mathematics TournamentPre-calculus Tie Breaker 3

The correct answer is:

The Nicholas S. Walker Tri-County High School Mathematics Tournament Pre-calculus Tie Breaker 4

3ln32ln

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

THANK YOU! MHS

Mu Alpha Theta