Statistics
Pre-Calculus
Calculus
Linear Algebra
Finite Math
100
The midrange of a sample of SAT-Verbal scores whose smallest observation is 426 and largest observation is 740.
What is 583?
100
Find the first term of an arithmetic progression if the fifth term is 29 and d is 3.
What is 17?
100
Find the derivative of the function: y = 2x2 + 3x.
What is y' = 4x + 3?
100
Find the inverse of | 1 2| | 3 7|
What is | 7 -2|
| -3 1 | ?
100
Determine if the following argument is valid or not valid.
"If it is raining, then the streets are wet.
Either it is snowing, or the streets are not wet.
It is not snowing. Therefore, it is not raining."
What is valid (modus tollens)?
200
It is the probability of getting exactly a 7 on one throw of a pair of dice.
What is 1/6?
200
Find the primary angle that is coterminal with the angle of −743°?
What is 337°?
200
Integrate the expression:
∫ [2x /(x2 + 1)] dx.
What is ln(x2+1) + C?
200
Find the rank of matrix A where
|1 0 2 3|
A = |0 0 5 1|
|0 0 0 0|.
What is 2?
200
Determine the number of permutations of three elements taken from a set of four elements {a, b, c, d}.
What is 24?
300
A jar contains 3 red marbles, 4 blue marbles, and 5 orange marbles. One marble is randomly drawn from the jar. What is the probability that the marble is not orange?
7/12
300
Find (5 + 6i) − (9 − 4i).
What is -4 + 10i?
300
Find the slope of the following curve at the given point.
y = 3x2 − 2x + 4 at (1, 5)
What is 4?
300
Find A - B if A = ∣2 3 4∣ and B = ∣0 2 7∣
What is ∣2 1 -3∣ ?
300
Given the universal set U = {2,4,6,...,12}
Find the set S = {x ε U | x² − 5x + 6 =0}
What is S = {2}?
400
Determine the number of permutations of the letters in the word BANANA.
What is 60?
400
Find the center of the circle
x2 ― 4x + y2 + 8y – 5 = 0.
What is (2, -4)?
400
If z = 3x2 − 2y2 + 2xy, find [∂z/∂x].
What is 6x + 2y?
400
Find the determinant of the matrix below.
What is 9?
400
Compute u ∙ v where u = (2,−3,6) and v = (8,2,−3).
What is -8?
500
Suppose the earnings of a laborer, denoted by X, are given by the following probability function.
X 0 8 12 16
P(X) 0.3 0.2 0.3 0.2
Find the laborer's expected earnings.
What is 8.4?
500
Let f(x) = x - 1 and g(x) = x2 - 2.
Find (f o g)(1).
What is -2?
500
Find the derivative of:
y = tan 3θ.
What is y' = 3 sec2 (3θ).
500
Give the solution of the following matrix that is in reduced row echelon form.
x y z rhs
1 0 0 -2
0 1 0 4
0 0 1 7
What is x = -2, y = 4, z = 7; or (-2, 4, 7) ?
500
Jack and Jill agree to play a game. The game costs $1 to play. A card is drawn at a random from a standard deck of 52 cards. If the card is a spade, Jack pays Jill $85. If the card is anything else, Jill pays Jack $30. Find the expected value of the game for Jack.
What is $0.25?