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If 2^x = 8^3,
what exponent can x be?
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If r = -2 and t = -5,
find the value of
r^4 + t?
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How many prime numbers
are factors of 210?
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A fraction is equivalent to 4/5.
The sum of the numerator and
denominator of the fraction is 36.
What is the fraction?
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Two nearby lights are flashing, one
every 7 seconds and one every 5
seconds.
How many seconds long are the
intervals between simultaneous
flashings?
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If D is the midpoint of segment AC and
C is the midpoint of segment AB, what
is the length of segment AB if the length
of segment BD is 12 cm?
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A garden hose lies coiled in a circular pile
about 2 feet across.
If there are 6 coils,
estimate the length of the hose.
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What is the sum of the interior angles of
a polygon with 32 sides?
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The angles of a triangle
are in a ratio of 1:2:6.
What kind of triangle results?
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How many sides does a polygon have if
the sum of the measures of the interior
angles is 2,520?
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What is the probability picking a
King from a deck of cards?
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You flip a coin.
The first eight flips come up heads.
What is the probability the ninth flip
will be a tail?
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A standard die is rolled.
What is the probability of rolling an
even number?
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A jar contains 3 red balls, 2 white
balls, and 1 green ball.
What is the probability of picking a
white ball?
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Suppose a die is rolled twice.
What is the probability that an odd
number will occur both times?
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A plumber charges $48 for each hour he works
plus an additional service charge of $25.
At this rate, who much would the plumber
charge for a job that took 4.5 hours?
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The equation of a line is 8x – 4y = 17.
What is the slope of the line?
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Write an open sentence to represent the
statement:
5 less than twice a number is
3 more than the number
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Solve for x:
¾ x + 14 = 38
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Suppose you start with $39.65 in the bank.
Each day you put in $1.35 more than you put
in the previous day.
How much money will you have in the bank
on the 12th day?
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2^x = 8^3
2^x = (2^3)^3
x=9
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(-2)^4 + (-5) =
16 – 5 =
11
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Prime factors of 210 are:
2, 3, 5, and 7,
therefore there are 4 prime factors
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Fractions equivalent to 4/5 are
8/10, 12/15, 16/20, …
and 16 + 20 = 36
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The least common multiple
of 5 and 7 is 35
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AB = 16 cm
A
D
C
B
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Circumference = 2πr
The radius is half the diameter or ½ of 2 feet,
therefore, 2(3.14)(1) = 6.28
and since there are 6 coils
6(6.28) = 37.68 feet
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To find the sum of the angles of a
polygon with n sides,
use (n-2)180,
Therefore (32 – 2)180 = 5400 degrees
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If the sides are in a ratio of 1:2:6,
then x + 2x + 6x = 180
9x = 180
x = 20,
Therefore the angles are
20, 2(20) = 40, and 6(20) = 120 which means the
triangle is a scalene, obtuse triangle.
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If (n – 2)180 = 2520 then divide both
sides of the equation by 180 to get
(n - 2) = 14 and add 2 to both sides to get
16 sides
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There are 4 Kings in a deck of 52 cards,
Therefore the probability is
4/52 or 1/13
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No matter how many times you flip a coin,
the probability of tossing a tail is ½.
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The probability for rolling an even number is
3/6 or 1/2
Since there is are 3 odd numbers between 1 and 6.
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Since there are 2 white marbles out of a total
of 6 marbles,
Then the probability of pulling out a white
marble is 2/6 or 1/3.
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The probability of rolling an odd number on
the first roll is 3/6 or 1/2, and the same is
true for the second roll,
therefore 1/2 x 1/2 = 1/4
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The cost of 4.5 hours of labor at $48 per hour
4.5 x $48 = $216
plus the $25 = $241
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8x – 4y = 17
Subtract 8x from both sides and
-4y = -8x + 17
Then divide both sides of the equation by -4
y = 2x – 17/2
so the slope is 2
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5 less than 2 times a number is 3 more than the number
2x – 5 = x + 3
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To solve ¾ x + 14 = 38,
Subtract 14 from both sides
¾ x = 24
Then multiply both sides by 4/3
to get 32
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$39.65 + $1.35 + 2($1.35) +3($1.35) + …
+ 12($1.35) = $144.95
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Final Jeopardy Question
ABCDEF is a regular hexagon.
Diagonals are drawn
from B to F, B to D, and F to D.
What is the measure of angle <FBD?
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the answer!
Final Jeopardy Answer
The diagonals form an equilateral triangle
BDF, therefore each angle including <FBD
measures 60 degrees.
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