Welcome to the
Nicholas S. Walker
Tri-County High School
Mathematics Tournament
The Nicholas S. Walker Tri-County High School
Mathematics Tournament
REMEMBER
Raise the Answer sheet High
Use your time wisely
Only correct answers count
REDUCE ALL ANSWERS
SHOW UNITS IF APPLICABLE
The Nicholas S. Walker Tri-County High School
Mathematics Tournament
Algebra 2 Competition
Team members
READY
SET …
The Nicholas S. Walker Tri-County High School
Mathematics Tournament
Algebra 2
Question 1
Solve for x:
3x  2  4 x  5
3pts.
The Nicholas S. Walker Tri-County High School
Mathematics Tournament
Algebra 2
Question 1
Solve for x:
3x  2  4 x  5
2pts.
The Nicholas S. Walker Tri-County High School
Mathematics Tournament
Algebra 2
Question 1
Solve for x:
3x  2  4 x  5
1pt.
The Nicholas S. Walker Tri-County High School
Mathematics Tournament
Algebra 2
Question 1
The correct
answer is:
The Nicholas S. Walker Tri-County High School
Mathematics Tournament
Algebra 2
Question 1
x  1
The Nicholas S. Walker Tri-County High School
Mathematics Tournament
Algebra 2 Competition
Team members
READY
SET …
The Nicholas S. Walker Tri-County High School
Mathematics Tournament
Algebra 2
Question 2
Evaluate:
log
3pts.
1
3 9
The Nicholas S. Walker Tri-County High School
Mathematics Tournament
Algebra 2
Question 2
Evaluate:
log
2pts.
1
3 9
The Nicholas S. Walker Tri-County High School
Mathematics Tournament
Algebra 2
Question 2
Evaluate:
log
1pt.
1
3 9
The Nicholas S. Walker Tri-County High School
Mathematics Tournament
Algebra 2
Question 2
The correct
answer is:
The Nicholas S. Walker Tri-County High School
Mathematics Tournament
Algebra 2
Question 2
2
The Nicholas S. Walker Tri-County High School
Mathematics Tournament
Algebra 2 Competition
Team members
READY
SET …
The Nicholas S. Walker Tri-County High School
Mathematics Tournament
Algebra 2
Question 3
Solve:
9k  48k  64  0
2
3pts.
The Nicholas S. Walker Tri-County High School
Mathematics Tournament
Algebra 2
Question 3
Solve:
9k  48k  64  0
2
2pts.
The Nicholas S. Walker Tri-County High School
Mathematics Tournament
Algebra 2
Question 3
Solve:
9k  48k  64  0
2
1pt.
The Nicholas S. Walker Tri-County High School
Mathematics Tournament
Algebra 2
Question 3
The correct
answer is:
The Nicholas S. Walker Tri-County High School
Mathematics Tournament
Algebra 2
Question 3
k 
8
3
The Nicholas S. Walker Tri-County High School
Mathematics Tournament
Algebra 2 Competition
Team members
READY
SET …
The Nicholas S. Walker Tri-County High School
Mathematics Tournament
Algebra 2
Question 4
Simplify and give
answer in standard
form:
3pts.
2  3i
1  5i
The Nicholas S. Walker Tri-County High School
Mathematics Tournament
Algebra 2
Question 4
Simplify and give
answer in standard
form:
2pts.
2  3i
1  5i
The Nicholas S. Walker Tri-County High School
Mathematics Tournament
Algebra 2
Question 4
Simplify and give
answer in standard
form:
1pt.
2  3i
1  5i
The Nicholas S. Walker Tri-County High School
Mathematics Tournament
Algebra 2
Question 4
The correct
answer is:
The Nicholas S. Walker Tri-County High School
Mathematics Tournament
Algebra 2
Question 4
1 1
  i
2 2
The Nicholas S. Walker Tri-County High School
Mathematics Tournament
Algebra 2 Competition
Team members
READY
SET …
The Nicholas S. Walker Tri-County High School
Mathematics Tournament
Algebra 2
Question 5
Given:
f ( x)  2 x  5
g ( x)   3x  1
Evaluate:
3pts.
f (1)  g (3)
The Nicholas S. Walker Tri-County High School
Mathematics Tournament
Algebra 2
Question 5
Given:
f ( x)  2 x  5
g ( x)   3x  1
Evaluate:
2pt.
f (1)  g (3)
The Nicholas S. Walker Tri-County High School
Mathematics Tournament
Algebra 2
Question 5
Given:
f ( x)  2 x  5
g ( x)   3x  1
Evaluate:
1pt.
f (1)  g (3)
The Nicholas S. Walker Tri-County High School
Mathematics Tournament
Algebra 2
Question 5
The correct
answer is:
The Nicholas S. Walker Tri-County High School
Mathematics Tournament
Algebra 2
Question 5
7
The Nicholas S. Walker Tri-County High School
Mathematics Tournament
Algebra 2 Competition
Team members
READY
SET …
The Nicholas S. Walker Tri-County High School
Mathematics Tournament
Algebra 2
Question 6
Given:
f ( x)  x
Write the new function g(x) given the
following transformations:
3pts.
Translate 4 units left,
reflect across the x-axis,
and stretch vertically by
factor of 2.
The Nicholas S. Walker Tri-County High School
Mathematics Tournament
Algebra 2
Question 6
Given:
f ( x)  x
Write the new function g(x) given the
following transformations:
2pts.
Translate 4 units left,
reflect across the x-axis,
and stretch vertically by
factor of 2.
The Nicholas S. Walker Tri-County High School
Mathematics Tournament
Algebra 2
Question 6
Given:
f ( x)  x
Write the new function g(x) given the
following transformations:
1pt.
Translate 4 units left,
reflect across the x-axis,
and stretch vertically by
factor of 2.
The Nicholas S. Walker Tri-County High School
Mathematics Tournament
Algebra 2
Question 6
The correct
answer is:
The Nicholas S. Walker Tri-County High School
Mathematics Tournament
Algebra 2
Question 6
g ( x)  2 x  4
The Nicholas S. Walker Tri-County High School
Mathematics Tournament
Algebra 2 Competition
Team members
READY
SET …
The Nicholas S. Walker Tri-County High School
Mathematics Tournament
Algebra 2
Question 7
Find the solution of the
system:
2 x  y  z  2
3pts.
x  3 y  z  10
x  2 z  8
The Nicholas S. Walker Tri-County High School
Mathematics Tournament
Algebra 2
Question 7
Find the solution of the
system:
2 x  y  z  2
2pts.
x  3 y  z  10
x  2 z  8
The Nicholas S. Walker Tri-County High School
Mathematics Tournament
Algebra 2
Question 7
Find the solution of the
system:
2 x  y  z  2
1pt.
x  3 y  z  10
x  2 z  8
The Nicholas S. Walker Tri-County High School
Mathematics Tournament
Algebra 2
Question 7
The correct
answer is:
The Nicholas S. Walker Tri-County High School
Mathematics Tournament
Algebra 2
Question 7
( 2, 1,  5)
or
x2
y 1
z  5
The Nicholas S. Walker Tri-County High School
Mathematics Tournament
Algebra 2 Competition
Team members
READY
SET …
The Nicholas S. Walker Tri-County High School
Mathematics Tournament
Algebra 2
Question 8
Solve for h:
1
1
A  ah  bh
2
2
3pts.
The Nicholas S. Walker Tri-County High School
Mathematics Tournament
Algebra 2
Question 8
Solve for h:
1
1
A  ah  bh
2
2
2pts.
The Nicholas S. Walker Tri-County High School
Mathematics Tournament
Algebra 2
Question 8
Solve for h:
1
1
A  ah  bh
2
2
1pt.
The Nicholas S. Walker Tri-County High School
Mathematics Tournament
Algebra 2
Question 8
The correct
answer is:
The Nicholas S. Walker Tri-County High School
Mathematics Tournament
Algebra 2
Question 8
2A
h
a b
The Nicholas S. Walker Tri-County High School
Mathematics Tournament
Algebra 2 Competition
Team members
READY
SET …
The Nicholas S. Walker Tri-County High School
Mathematics Tournament
Algebra 2
Question 9
Find the real or
imaginary solutions:
x  1000  0
3
3pts.
The Nicholas S. Walker Tri-County High School
Mathematics Tournament
Algebra 2
Question 9
Find the real or
imaginary solutions:
x  1000  0
3
2pts.
The Nicholas S. Walker Tri-County High School
Mathematics Tournament
Algebra 2
Question 9
Find the real or
imaginary solutions:
x  1000  0
3
1pt.
The Nicholas S. Walker Tri-County High School
Mathematics Tournament
Algebra 2
Question 9
The correct
answer is:
The Nicholas S. Walker Tri-County High School
Mathematics Tournament
Algebra 2
Question 9
x  10,  5  5i 3
The Nicholas S. Walker Tri-County High School
Mathematics Tournament
Algebra 2 Competition
Team members
READY
SET …
The Nicholas S. Walker Tri-County High School
Mathematics Tournament
Algebra 2
Question 10
Divide:
(3x  17 x  21x  9)  ( x  3)
3
3pts.
2
The Nicholas S. Walker Tri-County High School
Mathematics Tournament
Algebra 2
Question 10
Divide:
(3x  17 x  21x  9)  ( x  3)
3
2pts.
2
The Nicholas S. Walker Tri-County High School
Mathematics Tournament
Algebra 2
Question 10
Divide:
(3x  17 x  21x  9)  ( x  3)
3
1pt.
2
The Nicholas S. Walker Tri-County High School
Mathematics Tournament
Algebra 2
Question 10
The correct
answer is:
The Nicholas S. Walker Tri-County High School
Mathematics Tournament
Algebra 2
Question 10
3x  8 x  3
2
The Nicholas S. Walker Tri-County High School
Mathematics Tournament
Algebra 2 Competition
Team members
READY
SET …
The Nicholas S. Walker Tri-County High School
Mathematics Tournament
Algebra 2
Question 11
Solve for x:
x 3  x 5
3pts.
The Nicholas S. Walker Tri-County High School
Mathematics Tournament
Algebra 2
Question 11
Solve for x:
x 3  x 5
2pts.
The Nicholas S. Walker Tri-County High School
Mathematics Tournament
Algebra 2
Question 11
Solve for x:
x 3  x 5
1pt.
The Nicholas S. Walker Tri-County High School
Mathematics Tournament
Algebra 2
Question 11
The correct
answer is:
The Nicholas S. Walker Tri-County High School
Mathematics Tournament
Algebra 2
Question 11
x7
The Nicholas S. Walker Tri-County High School
Mathematics Tournament
Algebra 2 Competition
Team members
READY
SET …
The Nicholas S. Walker Tri-County High School
Mathematics Tournament
Algebra 2
Question 12
Simplify:
5
3pts.
 64 x y
14
20
The Nicholas S. Walker Tri-County High School
Mathematics Tournament
Algebra 2
Question 12
Simplify:
5
2pts.
 64 x y
14
20
The Nicholas S. Walker Tri-County High School
Mathematics Tournament
Algebra 2
Question 12
Simplify:
5
1pt.
 64 x y
14
20
The Nicholas S. Walker Tri-County High School
Mathematics Tournament
Algebra 2
Question 12
The correct
answer is:
The Nicholas S. Walker Tri-County High School
Mathematics Tournament
Algebra 2
Question 12
 2x y
2
4 5
2x
4
The Nicholas S. Walker Tri-County High School
Mathematics Tournament
Algebra 2 Competition
Team members
READY
SET …
The Nicholas S. Walker Tri-County High School
Mathematics Tournament
Algebra 2
Question 13
1
Find f ( x) given
f ( x)  3x  4
3
3pts.
The Nicholas S. Walker Tri-County High School
Mathematics Tournament
Algebra 2
Question 13
1
Find f ( x) given
f ( x)  3x  4
3
2pts.
The Nicholas S. Walker Tri-County High School
Mathematics Tournament
Algebra 2
Question 13
1
Find f ( x) given
f ( x)  3x  4
3
1pt.
The Nicholas S. Walker Tri-County High School
Mathematics Tournament
Algebra 2
Question 13
The correct
answer is:
The Nicholas S. Walker Tri-County High School
Mathematics Tournament
Algebra 2
Question 13
1
f ( x)  3
x4
3
The Nicholas S. Walker Tri-County High School
Mathematics Tournament
Algebra 2 Competition
Team members
READY
SET …
The Nicholas S. Walker Tri-County High School
Mathematics Tournament
Algebra 2
Question 14
Find ( f  g )( x)
Given f ( x)  3 x  2
g ( x)  4 x  8
3pts.
The Nicholas S. Walker Tri-County High School
Mathematics Tournament
Algebra 2
Question 14
Find ( f  g )( x)
Given f ( x)  3 x  2
g ( x)  4 x  8
2pts.
The Nicholas S. Walker Tri-County High School
Mathematics Tournament
Algebra 2
Question 14
Find ( f  g )( x)
Given f ( x)  3 x  2
g ( x)  4 x  8
1pt.
The Nicholas S. Walker Tri-County High School
Mathematics Tournament
Algebra 2
Question 14
The correct
answer is:
The Nicholas S. Walker Tri-County High School
Mathematics Tournament
Algebra 2
Question 14
12 x  2 x 2  4
2
The Nicholas S. Walker Tri-County High School
Mathematics Tournament
Algebra 2 Competition
Do we have a
winner?
The Nicholas S. Walker Tri-County High School
Mathematics Tournament
Algebra 2 Competition
Team members
READY
SET …
The Nicholas S. Walker Tri-County High School
Mathematics Tournament
Algebra 2
Tie Breaker 1
Given:
f ( x)  5 x  2
g ( x)  x  1
2
Find: ( f
3pts.
 g )( 1)
The Nicholas S. Walker Tri-County High School
Mathematics Tournament
Algebra 2
Tie Breaker 1
Given:
f ( x)  5 x  2
g ( x)  x  1
2
Find: ( f
2pts.
 g )( 1)
The Nicholas S. Walker Tri-County High School
Mathematics Tournament
Algebra 2
Tie Breaker 1
Given:
f ( x)  5 x  2
g ( x)  x  1
2
Find: ( f
1pt.
 g )( 1)
The Nicholas S. Walker Tri-County High School
Mathematics Tournament
Algebra 2
Tie Breaker 1
The correct
answer is:
The Nicholas S. Walker Tri-County High School
Mathematics Tournament
Algebra 2
Tie Breaker 1
8
The Nicholas S. Walker Tri-County High School
Mathematics Tournament
Algebra 2 Competition
Team members
READY
SET …
The Nicholas S. Walker Tri-County High School
Mathematics Tournament
Algebra 2
Tie Breaker 2
What is the value of:
log 8 32
3pts.
The Nicholas S. Walker Tri-County High School
Mathematics Tournament
Algebra 2
Tie Breaker 2
What is the value of:
log 8 32
2pts.
The Nicholas S. Walker Tri-County High School
Mathematics Tournament
Algebra 2
Tie Breaker 2
What is the value of:
log 8 32
1pt.
The Nicholas S. Walker Tri-County High School
Mathematics Tournament
Algebra 2
Tie Breaker 2
The correct
answer is:
The Nicholas S. Walker Tri-County High School
Mathematics Tournament
Algebra 2
Tie Breaker 2
5
3
The Nicholas S. Walker Tri-County High School
Mathematics Tournament
Algebra 2 Competition
Team members
READY
SET …
The Nicholas S. Walker Tri-County High School
Mathematics Tournament
Algebra 2
Tie Breaker 3
Write the explicit
formula for the
sequence:
4, 7, 10, 13, 16…
3pts.
The Nicholas S. Walker Tri-County High School
Mathematics Tournament
Algebra 2
Tie Breaker 3
Write the explicit
formula for the
sequence:
4, 7, 10, 13, 16…
2pts.
The Nicholas S. Walker Tri-County High School
Mathematics Tournament
Algebra 2
Tie Breaker 3
Write the explicit
formula for the
sequence:
4, 7, 10, 13, 16…
1pt.
The Nicholas S. Walker Tri-County High School
Mathematics Tournament
Algebra 2
Tie Breaker 3
The correct
answer is:
The Nicholas S. Walker Tri-County High School
Mathematics Tournament
Algebra 2
Tie Breaker 3
an  3n  1
The Nicholas S. Walker Tri-County High School
Mathematics Tournament
Algebra 2 Competition
Team members
READY
SET …
The Nicholas S. Walker Tri-County High School
Mathematics Tournament
Algebra 2
Tie Breaker 4
Give the Vertex Form of
the equation:
y  x  4x  8
2
3pts.
The Nicholas S. Walker Tri-County High School
Mathematics Tournament
Algebra 2
Tie Breaker 4
Give the Vertex Form of
the equation:
y  x  4x  8
2
2pts.
The Nicholas S. Walker Tri-County High School
Mathematics Tournament
Algebra 2
Tie Breaker 4
Give the Vertex Form of
the equation:
y  x  4x  8
2
1pt.
The Nicholas S. Walker Tri-County High School
Mathematics Tournament
Algebra 2
Tie Breaker 3
The correct
answer is:
The Nicholas S. Walker Tri-County High School
Mathematics Tournament
Algebra 2
Tie Breaker 4
y  ( x  2)  4
2
The Nicholas S. Walker Tri-County High School
Mathematics Tournament
THANK YOU!
MHS
Mu Alpha Theta