Algebra I
The expression x4-16 is equivalent to
(x2+4)(x2-4)
A rectangular room is 12 feet long and 8 feet wide. What is its total area in square feet
96 square feet
Find limx->3(x2-4x+7)
4
What is the percentage chance that a player has to win at the beginning of the game?
33.3%
An expression of the fifth degree is written with a leading coefficient of seven and a constant of six. What expression is correctly written for these conditions?
7x5+2x2+6
A right triangle has a base of 3 cm and a height of 4 cm. How long is the hypotenuse
5 cm
56x6+3x2
What is the total face value of all the clues in a Jeopardy game?
$54,000
What is the solution to the equation 2(x+2)2-4=28
2 and -6
A triangle has one 60o angle and one 50o angle. What is the measurement of the third angle
70o
∫(3x2+2/x -cosx)dx solve but do not solve for C
x3+2ln|x|-sinx+C
In a perfectly theoretical game—where a player answers every clue on the board correctly, hits the Daily Doubles at the very end, wagers max, and doubles it in Final Jeopardy what is the maximum amount of money that a contestant can possibly win in a single episode
$552,000
The solution to -2(1-4x)=3x+8 is
2
Daily Double:
A pizza has a diameter of 14 inches. What is its circumference
14 pi inches
Find the x-coordinates of all relative extrema for the function f(x)=x3-32-9x+5
x=-1
x=3
What is the equation for the expected value or average outcome?
E = (P Correct)(Money Won) - (P Wrong)(Money Lost)
If y=3x3+x2-5 and z=x2-12, which polynomial is equivalent to 2(y+z)
6x3+4x2-34
What are the center of a circle defined by the equation (x - 5)2 + (y + 3)2 = 16
Center: (5, -3)
A 10 foot ladder rests against a vertical wall. If the bottom of the ladder slides away from the wall at a speed of 2 ft/s, at what rate is the angle between the top of the ladder and the wall changing when the bottom of the ladder is 6 feet from the wall?
1/4 radians per second
If you are in the lead going into the final jeopardy round, what is the maximum amount you should wager to guarantee a win, assuming your closest rival bets it all and gets it right.
One dollar more than twice the second-place contestants score