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Nicholas S. Walker Tri-County High SchoolMathematics Tournament
Welcome to the
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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
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Team membersREADYSET …
The Nicholas S. Walker Tri-County High School Mathematics Tournament Pre-Calculus Competition
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The Nicholas S. Walker Tri-County High School Mathematics TournamentPre-calculus Question 1
3pts.
Solve:
373 xx
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The Nicholas S. Walker Tri-County High School Mathematics TournamentPre-calculus Question 1
2pts.
Solve:
373 xx
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The Nicholas S. Walker Tri-County High School Mathematics TournamentPre-calculus Question 1
1pt.
Solve:
373 xx
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The Nicholas S. Walker Tri-County High School Mathematics TournamentPre-calculus Question 1
The correct answer is:
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The Nicholas S. Walker Tri-County High School Mathematics TournamentPre-calculus Question 1
1x2x
and
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Team membersREADYSET …
The Nicholas S. Walker Tri-County High School Mathematics Tournament Pre-calculus Competition
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The Nicholas S. Walker Tri-County High School Mathematics TournamentPre-calculus Question 2
3pts.
What is the inverse of:
12
13
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The Nicholas S. Walker Tri-County High School Mathematics TournamentPre-calculus Question 2
2pts.
What is the inverse of:
12
13
![Page 12: Nicholas S. Walker Tri-County High School Mathematics Tournament](https://reader035.vdocuments.us/reader035/viewer/2022062217/56814851550346895db56469/html5/thumbnails/12.jpg)
The Nicholas S. Walker Tri-County High School Mathematics TournamentPre-calculus Question 2
1pt.
What is the inverse of:
12
13
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The Nicholas S. Walker Tri-County High School Mathematics TournamentPre-calculus Question 2
The correct answer is:
![Page 14: Nicholas S. Walker Tri-County High School Mathematics Tournament](https://reader035.vdocuments.us/reader035/viewer/2022062217/56814851550346895db56469/html5/thumbnails/14.jpg)
The Nicholas S. Walker Tri-County High School Mathematics TournamentPre-calculus Question 2
32
11
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Team membersREADYSET …
The Nicholas S. Walker Tri-County High School Mathematics Tournament Pre-calculus Competition
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The Nicholas S. Walker Tri-County High School Mathematics TournamentPre-calculus Question 3
3pts.
State the domain of:
24)( xxf
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The Nicholas S. Walker Tri-County High School Mathematics TournamentPre-calculus Question 3
2pts.
State the domain of:
24)( xxf
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The Nicholas S. Walker Tri-County High School Mathematics TournamentPre-calculus Question 3
1pt.
State the domain of:
24)( xxf
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The Nicholas S. Walker Tri-County High School Mathematics Tournament Pre-calculus Question 3
The correct answer is:
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The Nicholas S. Walker Tri-County High School Mathematics TournamentPre-calculus Question 3
2,2
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Team membersREADYSET …
The Nicholas S. Walker Tri-County High School Mathematics Tournament Pre-calculus Competition
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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
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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
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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
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The Nicholas S. Walker Tri-County High School Mathematics Tournament Pre-calculus Question 4
The correct answer is:
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The Nicholas S. Walker Tri-County High School Mathematics Tournament Pre-calculus Question 4
1
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Team membersREADYSET …
The Nicholas S. Walker Tri-County High School Mathematics Tournament Pre-calculus Competition
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The Nicholas S. Walker Tri-County High School Mathematics TournamentPre-calculus Question 5
3pts.
State the exact value of :
1140sin
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The Nicholas S. Walker Tri-County High School Mathematics TournamentPre-calculus Question 5
2pts.
State the exact value of :
1140sin
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The Nicholas S. Walker Tri-County High School Mathematics TournamentPre-calculus Question 5
1pt.
State the exact value of :
1140sin
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The Nicholas S. Walker Tri-County High School Mathematics TournamentPre-calculus Question 5
The correct answer is:
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The Nicholas S. Walker Tri-County High School Mathematics TournamentPre-calculus Question 5
2
3
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Team membersREADYSET …
The Nicholas S. Walker Tri-County High School Mathematics Tournament Pre-calculus Competition
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The Nicholas S. Walker Tri-County High School Mathematics Tournament Pre-calculus Question 6
3pts.
State the amplitude of:
)72cos(5 xy
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The Nicholas S. Walker Tri-County High School Mathematics Tournament Pre-calculus Question 6
2pts.
State the amplitude of:
)72cos(5 xy
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The Nicholas S. Walker Tri-County High School Mathematics Tournament Pre-calculus Question 6
1pt.
State the amplitude of:
)72cos(5 xy
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The Nicholas S. Walker Tri-County High School Mathematics TournamentPre-Calculus Question 6
The correct answer is:
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The Nicholas S. Walker Tri-County High School Mathematics Tournament Pre-calculus Question 6
5
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Team membersREADYSET …
The Nicholas S. Walker Tri-County High School Mathematics Tournament Pre-calculus Competition
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The Nicholas S. Walker Tri-County High School Mathematics Tournament Pre-calculus Question 7
3pts.
State the exact value of:
6sin4
4cos2
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The Nicholas S. Walker Tri-County High School Mathematics Tournament Pre-calculus Question 7
2pts.
State the exact value of:
6sin4
4cos2
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The Nicholas S. Walker Tri-County High School Mathematics Tournament Pre-calculus Question 7
1pt.
State the exact value of:
6sin4
4cos2
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The Nicholas S. Walker Tri-County High School Mathematics TournamentPre-calculus Question 7
The correct answer is:
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The Nicholas S. Walker Tri-County High School Mathematics Tournament Pre-calculus Question 7
22
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Team membersREADYSET …
The Nicholas S. Walker Tri-County High School Mathematics Tournament Pre-calculus Competition
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The Nicholas S. Walker Tri-County High School Mathematics Tournament Pre-calculus Question 8
3pts.
Solve for z:
223
1224
261053
yx
yx
zyx
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The Nicholas S. Walker Tri-County High School Mathematics Tournament Pre-calculus Question 8
2pts.
Solve for z:
223
1224
261053
yx
yx
zyx
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The Nicholas S. Walker Tri-County High School Mathematics Tournament Pre-calculus Question 8
1pt.
Solve for z:
223
1224
261053
yx
yx
zyx
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The Nicholas S. Walker Tri-County High School Mathematics TournamentPre-calculus Question 8
The correct answer is:
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The Nicholas S. Walker Tri-County High School Mathematics Tournament Pre-calculus Question 8
1z
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Team membersREADYSET …
The Nicholas S. Walker Tri-County High School Mathematics Tournament Pre-calculus Competition
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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
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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
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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
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The Nicholas S. Walker Tri-County High School Mathematics TournamentPre-calculus Question 9
The correct answer is:
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The Nicholas S. Walker Tri-County High School Mathematics Tournament Pre-calculus Question 9
3
2
3
OR
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Team membersREADYSET …
The Nicholas S. Walker Tri-County High School Mathematics Tournament Pre-calculus Competition
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The Nicholas S. Walker Tri-County High School Mathematics Tournament Pre-calculus Question 10
3pts.
Simplify using the reduction formula
)3tan(
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The Nicholas S. Walker Tri-County High School Mathematics Tournament Pre-calculus Question 10
2pts.
Simplify using the reduction formula
)3tan(
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The Nicholas S. Walker Tri-County High School Mathematics Tournament Pre-calculus Question 10
1pt.
Simplify using the reduction formula
)3tan(
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The Nicholas S. Walker Tri-County High School Mathematics TournamentPre-calculus Question 10
The correct answer is:
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The Nicholas S. Walker Tri-County High School Mathematics Tournament Pre-calculus Question 10
tan
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Team membersREADYSET …
The Nicholas S. Walker Tri-County High School Mathematics Tournament Pre-calculus Competition
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The Nicholas S. Walker Tri-County High School Mathematics Tournament Pre-calculus Question 11
3pts.
Solve for x:
2452 33 xx
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The Nicholas S. Walker Tri-County High School Mathematics Tournament Pre-calculus Question 11
2pts.
Solve for x:
2452 33 xx
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The Nicholas S. Walker Tri-County High School Mathematics Tournament Pre-calculus Question 11
1pt.
Solve for x:
2452 33 xx
![Page 67: Nicholas S. Walker Tri-County High School Mathematics Tournament](https://reader035.vdocuments.us/reader035/viewer/2022062217/56814851550346895db56469/html5/thumbnails/67.jpg)
The Nicholas S. Walker Tri-County High School Mathematics TournamentPre-calculus Question 11
The correct answer is:
![Page 68: Nicholas S. Walker Tri-County High School Mathematics Tournament](https://reader035.vdocuments.us/reader035/viewer/2022062217/56814851550346895db56469/html5/thumbnails/68.jpg)
The Nicholas S. Walker Tri-County High School Mathematics Tournament Pre-calculus Question 11
6x
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Team membersREADYSET …
The Nicholas S. Walker Tri-County High School Mathematics Tournament Pre-calculus Competition
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The Nicholas S. Walker Tri-County High School Mathematics Tournament Pre-calculus Question 12
3pts.
Write in polar form:
0422 yyx
![Page 71: Nicholas S. Walker Tri-County High School Mathematics Tournament](https://reader035.vdocuments.us/reader035/viewer/2022062217/56814851550346895db56469/html5/thumbnails/71.jpg)
The Nicholas S. Walker Tri-County High School Mathematics Tournament Pre-calculus Question 12
2pts.
Write in polar form:
0422 yyx
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The Nicholas S. Walker Tri-County High School Mathematics Tournament Pre-calculus Question 12
1pt.
Write in polar form:
0422 yyx
![Page 73: Nicholas S. Walker Tri-County High School Mathematics Tournament](https://reader035.vdocuments.us/reader035/viewer/2022062217/56814851550346895db56469/html5/thumbnails/73.jpg)
The Nicholas S. Walker Tri-County High School Mathematics TournamentPre-calculus Question 12
The correct answer is:
![Page 74: Nicholas S. Walker Tri-County High School Mathematics Tournament](https://reader035.vdocuments.us/reader035/viewer/2022062217/56814851550346895db56469/html5/thumbnails/74.jpg)
The Nicholas S. Walker Tri-County High School Mathematics Tournament Pre-calculus Question 12
sin4r
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Team membersREADYSET …
The Nicholas S. Walker Tri-County High School Mathematics Tournament Pre-calculus Competition
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The Nicholas S. Walker Tri-County High School Mathematics Tournament Pre-calculus Question 13
3pts.
Write in standard form:
253
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The Nicholas S. Walker Tri-County High School Mathematics Tournament Pre-calculus Question 13
2pts.
Write in standard form:
253
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The Nicholas S. Walker Tri-County High School Mathematics Tournament Pre-calculus Question 13
1pt.
Write in standard form:
253
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The Nicholas S. Walker Tri-County High School Mathematics TournamentPre-calculus Question 13
The correct answer is:
![Page 80: Nicholas S. Walker Tri-County High School Mathematics Tournament](https://reader035.vdocuments.us/reader035/viewer/2022062217/56814851550346895db56469/html5/thumbnails/80.jpg)
The Nicholas S. Walker Tri-County High School Mathematics Tournament Pre-calculus Question 13
i53
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Team membersREADYSET …
The Nicholas S. Walker Tri-County High School Mathematics Tournament Pre-calculus Competition
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The Nicholas S. Walker Tri-County High School Mathematics Tournament Pre-calculus Question 14
3pts.
Convert to degrees:
3
10
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The Nicholas S. Walker Tri-County High School Mathematics Tournament Pre-calculus Question 14
2pts.
Convert to degrees:
3
10
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The Nicholas S. Walker Tri-County High School Mathematics Tournament Pre-calculus Question 14
1pt.
Convert to degrees:
3
10
![Page 85: Nicholas S. Walker Tri-County High School Mathematics Tournament](https://reader035.vdocuments.us/reader035/viewer/2022062217/56814851550346895db56469/html5/thumbnails/85.jpg)
The Nicholas S. Walker Tri-County High School Mathematics TournamentPre-calculus Question 14
The correct answer is:
![Page 86: Nicholas S. Walker Tri-County High School Mathematics Tournament](https://reader035.vdocuments.us/reader035/viewer/2022062217/56814851550346895db56469/html5/thumbnails/86.jpg)
The Nicholas S. Walker Tri-County High School Mathematics Tournament Pre-calculus Question 14
600
![Page 87: Nicholas S. Walker Tri-County High School Mathematics Tournament](https://reader035.vdocuments.us/reader035/viewer/2022062217/56814851550346895db56469/html5/thumbnails/87.jpg)
Do we have a winner?
The Nicholas S. Walker Tri-County High School Mathematics Tournament Pre-calculus Competition
![Page 88: Nicholas S. Walker Tri-County High School Mathematics Tournament](https://reader035.vdocuments.us/reader035/viewer/2022062217/56814851550346895db56469/html5/thumbnails/88.jpg)
Team membersREADYSET …
The Nicholas S. Walker Tri-County High School Mathematics Tournament Pre-calculus Competition
![Page 89: Nicholas S. Walker Tri-County High School Mathematics Tournament](https://reader035.vdocuments.us/reader035/viewer/2022062217/56814851550346895db56469/html5/thumbnails/89.jpg)
The Nicholas S. Walker Tri-County High School Mathematics Tournament Pre-calculus Tie Breaker 1
3pts.
Find the product:
3)1( x
![Page 90: Nicholas S. Walker Tri-County High School Mathematics Tournament](https://reader035.vdocuments.us/reader035/viewer/2022062217/56814851550346895db56469/html5/thumbnails/90.jpg)
The Nicholas S. Walker Tri-County High School Mathematics Tournament Pre-calculus Tie Breaker 1
2pts.
Find the product:
3)1( x
![Page 91: Nicholas S. Walker Tri-County High School Mathematics Tournament](https://reader035.vdocuments.us/reader035/viewer/2022062217/56814851550346895db56469/html5/thumbnails/91.jpg)
The Nicholas S. Walker Tri-County High School Mathematics Tournament Pre-calculus Tie Breaker 1
1pt.
Find the product:
3)1( x
![Page 92: Nicholas S. Walker Tri-County High School Mathematics Tournament](https://reader035.vdocuments.us/reader035/viewer/2022062217/56814851550346895db56469/html5/thumbnails/92.jpg)
The Nicholas S. Walker Tri-County High School Mathematics TournamentPre-calculus Tie Breaker 1
The correct answer is:
![Page 93: Nicholas S. Walker Tri-County High School Mathematics Tournament](https://reader035.vdocuments.us/reader035/viewer/2022062217/56814851550346895db56469/html5/thumbnails/93.jpg)
The Nicholas S. Walker Tri-County High School Mathematics Tournament Pre-calculus Tie Breaker 1
133 23 xxx
![Page 94: Nicholas S. Walker Tri-County High School Mathematics Tournament](https://reader035.vdocuments.us/reader035/viewer/2022062217/56814851550346895db56469/html5/thumbnails/94.jpg)
Team membersREADYSET …
The Nicholas S. Walker Tri-County High School Mathematics Tournament Pre-calculus Competition
![Page 95: Nicholas S. Walker Tri-County High School Mathematics Tournament](https://reader035.vdocuments.us/reader035/viewer/2022062217/56814851550346895db56469/html5/thumbnails/95.jpg)
The Nicholas S. Walker Tri-County High School Mathematics Tournament Pre-calculus Tie Breaker 2
3pts.
Evaluate:
)!7)(!3(
!9
![Page 96: Nicholas S. Walker Tri-County High School Mathematics Tournament](https://reader035.vdocuments.us/reader035/viewer/2022062217/56814851550346895db56469/html5/thumbnails/96.jpg)
The Nicholas S. Walker Tri-County High School Mathematics Tournament Pre-calculus Tie Breaker 2
2pts.
Evaluate:
)!7)(!3(
!9
![Page 97: Nicholas S. Walker Tri-County High School Mathematics Tournament](https://reader035.vdocuments.us/reader035/viewer/2022062217/56814851550346895db56469/html5/thumbnails/97.jpg)
The Nicholas S. Walker Tri-County High School Mathematics Tournament Pre-calculus Tie Breaker 2
1pt.
Evaluate:
)!7)(!3(
!9
![Page 98: Nicholas S. Walker Tri-County High School Mathematics Tournament](https://reader035.vdocuments.us/reader035/viewer/2022062217/56814851550346895db56469/html5/thumbnails/98.jpg)
The Nicholas S. Walker Tri-County High School Mathematics TournamentPre-calculus Tie Breaker 2
The correct answer is:
![Page 99: Nicholas S. Walker Tri-County High School Mathematics Tournament](https://reader035.vdocuments.us/reader035/viewer/2022062217/56814851550346895db56469/html5/thumbnails/99.jpg)
The Nicholas S. Walker Tri-County High School Mathematics Tournament Pre-calculus Tie Breaker 2
12
![Page 100: Nicholas S. Walker Tri-County High School Mathematics Tournament](https://reader035.vdocuments.us/reader035/viewer/2022062217/56814851550346895db56469/html5/thumbnails/100.jpg)
Team membersREADYSET …
The Nicholas S. Walker Tri-County High School Mathematics Tournament Pre-calculus Competition
![Page 101: Nicholas S. Walker Tri-County High School Mathematics Tournament](https://reader035.vdocuments.us/reader035/viewer/2022062217/56814851550346895db56469/html5/thumbnails/101.jpg)
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
![Page 102: Nicholas S. Walker Tri-County High School Mathematics Tournament](https://reader035.vdocuments.us/reader035/viewer/2022062217/56814851550346895db56469/html5/thumbnails/102.jpg)
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
![Page 103: Nicholas S. Walker Tri-County High School Mathematics Tournament](https://reader035.vdocuments.us/reader035/viewer/2022062217/56814851550346895db56469/html5/thumbnails/103.jpg)
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
![Page 104: Nicholas S. Walker Tri-County High School Mathematics Tournament](https://reader035.vdocuments.us/reader035/viewer/2022062217/56814851550346895db56469/html5/thumbnails/104.jpg)
The Nicholas S. Walker Tri-County High School Mathematics TournamentPre-calculus Tie Breaker 3
The correct answer is:
![Page 105: Nicholas S. Walker Tri-County High School Mathematics Tournament](https://reader035.vdocuments.us/reader035/viewer/2022062217/56814851550346895db56469/html5/thumbnails/105.jpg)
The Nicholas S. Walker Tri-County High School Mathematics Tournament Pre-calculus Tie Breaker 3
i5
![Page 106: Nicholas S. Walker Tri-County High School Mathematics Tournament](https://reader035.vdocuments.us/reader035/viewer/2022062217/56814851550346895db56469/html5/thumbnails/106.jpg)
Team membersREADYSET …
The Nicholas S. Walker Tri-County High School Mathematics Tournament Pre-calculus Competition
![Page 107: Nicholas S. Walker Tri-County High School Mathematics Tournament](https://reader035.vdocuments.us/reader035/viewer/2022062217/56814851550346895db56469/html5/thumbnails/107.jpg)
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
![Page 108: Nicholas S. Walker Tri-County High School Mathematics Tournament](https://reader035.vdocuments.us/reader035/viewer/2022062217/56814851550346895db56469/html5/thumbnails/108.jpg)
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
![Page 109: Nicholas S. Walker Tri-County High School Mathematics Tournament](https://reader035.vdocuments.us/reader035/viewer/2022062217/56814851550346895db56469/html5/thumbnails/109.jpg)
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
![Page 110: Nicholas S. Walker Tri-County High School Mathematics Tournament](https://reader035.vdocuments.us/reader035/viewer/2022062217/56814851550346895db56469/html5/thumbnails/110.jpg)
The Nicholas S. Walker Tri-County High School Mathematics TournamentPre-calculus Tie Breaker 3
The correct answer is:
![Page 111: Nicholas S. Walker Tri-County High School Mathematics Tournament](https://reader035.vdocuments.us/reader035/viewer/2022062217/56814851550346895db56469/html5/thumbnails/111.jpg)
The Nicholas S. Walker Tri-County High School Mathematics Tournament Pre-calculus Tie Breaker 4
3ln32ln
![Page 112: Nicholas S. Walker Tri-County High School Mathematics Tournament](https://reader035.vdocuments.us/reader035/viewer/2022062217/56814851550346895db56469/html5/thumbnails/112.jpg)
The Nicholas S. Walker Tri-County High School Mathematics Tournament
THANK YOU! MHS
Mu Alpha Theta