Write the complex number in standard form:
(8-i)+(5+4i)
What is 13+3i
100
Divide f(x) = x cubed + 5x squared - 7x + 2 by x-2.
What is x squared + 7x + 7 + 16 over x-2
100
A standard deck of 52 playing cards has 4 suits with 13 different cards in each suit. if the order in which the cards are dealt is not important, how many different 5-card hands are possible?
What is 2,598,960
100
Simlify: x squared - 2x - 15 over x squared - 9
What is x-5 over x-3
200
Solve for the log:
log base 7 times 1 equals x
What is x=0
200
Write the complex number in standard form:
(3+i)(5-i)
What is 6+2i
200
One zero of f(x) = x cubed - 2x squared - 23x + 60 is x=3. What is another zero of f (Use synthetic division)?
What is -5
200
Ten people are competing in a swimming competition. In how many ways can 3 of the competitors finish first, second, and third to win the gold, silver and the bronze medals?
What is 720
200
Simplify the expression: 2(x+1) over (x+1)(x+3)
What is 2 over x+3
300
Solve a logarithmic equation:
log base 5 times (4x-7)= log base 5 (x+5)
What is x=4
300
Write the complex number in standard form:
(9-2i)(-4+7i)
What is -22+71i
300
Divide f(x) = 3x to the fourth - 5x cubed + 4x - 6 by x squared - 3x + 5.
What is 3x squared + 4x - 3 + -25x+9 over x squared - 3x + 5
300
Ten Teams are competing in the final round of the Olympic four-person bobsledding competition. In how many different ways can the bobsledding teams finish the competition? (Assume there are no ties.)
What is 3,628,800
300
Multiply: x+2 over x cubed - 27 times x squared + 3x + 9
What is x+2 over x-3
400
Solve:
log base 4 times (5x-1)=3
What is x=13
400
Write the complex number in standard form:
(7-3i)(5+5i)
What is 50+20i
400
Evaluate the numerical expression.
(-4*2 to the 5) squared
What is 16,384
400
During the school year, the girl's basketball team is scheduled to play 12 home games. You want to attend at least 3 of the games. How many different combinations of games can you attend?
What is 4017
400
Divide: 7x over 2x - 10 divided by x squared - 6x over x squared - 11 x + 30
What is 7 over 2
500
Solve:
What is (are) the solution(s) of log 2x + log (x-5)=2
What is 10
500
Find the absolute value of the complex number:
| -4+3i |
What is 5
500
Divide f(x) = 2x cubed + x squared - 8x + 5 by x + 3 using synthetic division.
What is 2x squared - 5x + 7 - 16 over x+3
500
A community center hosts a talent contest for local musicians. On a given evening, 7 musicians are scheduled to perform. The order in which the musicians perform is randomly selected during the show. What is the probablility that the musicians perform in alphabetical order by their last names? (Assume that no two musicians have the same last name.)
What is approx. 0.000198
500
Multiply: 3x - 3x squared over x squared + 4x - 5 times x squared + x - 20 over 3x