Review Game Carnival Fish
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Transcript Review Game Carnival Fish
9
5
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13
3
17
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19
10
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16
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Problem 1: 3 points
Factor the following expression:
121x - 81y z
2
(11x+9yz)(11x-9yz)
2 2
Problem 2: 3 points
Find the absolute value of the
complex number:
7-4i
65
Problem 3: 5 points
TRIVIA
What is the only letter
that does
not appear in the name
of a
US state?
Q
Problem 4: 5 points
Solve by completing the square:
2x +12x + 20 = 0
2
x={-3+i,-3-i}
Problem 5: 5 points
Find the equation of the
quadratic function in
vertex form with vertex
(2,4), which passes through the
point (0,1).
3
2
f (x) = - (x - 2) + 4
4
Problem 6: 4 points
Solve using the quadratic
formula.
Give answers in simplest
radical
form:
{
x = -3 ±
1 2
x + 3x - 4 = 0
2
17
}
Problem 7: 8 points
TRIVIA
What is this thing called?
Möbius strip
Problem 8: 5 points
An object is launched directly upward at
64 feet per second (ft/s) from a platform
80 feet high. What will be the object's
maximum height?
144 feet
Problem 9
Oh my! You’ve found a free 10 points for
your team!
Problem 10: 6 points
Solve the quadratic inequality. Give your
answer in interval notation:
Problem 11: 6 points
Research results indicate that 10,000
people will attend a concert if the price is
$20 per ticket. For each dollar increase in
price, 1000 fewer people will attend. What
price should be charged to maximize
concert revenue?
Charge $15 to maximize revenue
Problem 12
Sorry! Your team loses 5 points!
Problem 13: 5 points
Write the complex number
in standard (a+bi) form.
4 7i
- 5 5
Problem 14: 5 points
The Sear's Tower in Chicago, Illinois is
1353 feet tall.
Write a function, h(t), for the height of an
object dropped from the top of the Sear's
tower after t seconds and use it to find how
long it will take for the object to hit the
ground.
h(t)=-16t2+1353, about 9.20 sec.
Problem 15: 3 points
Find a value of c so that
f(x)= 2x -4x+c
has two imaginary solutions.
c>2, so c={3} is one possibility
2
Problem 16: 6 points
Write the quadratic f(x)=4x2+2x+1 in vertex form.
Identify the vertex.
1 2 3
f (x) = 4(x + ) +
4
4
Vertex:
1 3
(- , )
4 4
Problem 17: 4 points
Factor the following expression completely
3x +18x +27x
3
2
3x(x + 3)
2
Problem 18: 4 points
Write the equation of the quadratic
function in intercept form with
intercepts of 0 and 2, which passes
through the point (1,1).
f(x)=-(x)(x-2)
Problem 19: 4 points
Write the following complex
number in standard (a+bi)
5_
9
form: i(2i 3i )
1
Problem 20: 4 points
Find the equation of the quadratic that
“best fits” this data using your calculator:
x
-1 0 1
2
3
4
y
6
-1 -3 -1.5 5 10
y=1.68x -3.91x-.23
2