100 100 100 100

200 200 200 200

300 300 300 300

400 400 400 400

500 500 500 500

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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?

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?

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

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

D CA 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

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

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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Final Jeopardy Answer

The diagonals form an equilateral triangle BDF, therefore each angle including <FBD

measures 60 degrees.

60