Algebra
If f(x)=x2-x-1, what is f(-4)
19
What is the equation, in slope-intercept form, of the line passing through the points (3,0) and (0,6)?
y=-2x+6
Find the domain of the function f(x)=sqrt((3x-6)/(x-7)) written in interval notation.
(-infinity,2]U(7,infinity)
Find the average value of the function f(x)=6x^2-4x+3 on the interval [1,3].
21
Find the mean of the following set of data: 72, 92, 61, 17, 99, 56, 65, 77, 74, 97.
71
Multiply: (x-4y)(x2-4xy+16y2)
x3-8x2y+32xy2-64y3
What is the volume of the figure formed when a square of side length 4, centered at the origin, is revolved about the y-axis?
16pi
The points (16,-13) and (-22,-32) both lie on the line with equation x+Ay=B, where A and B are real numbers. Find the value of B.
42
If g(x)=(x2-1)/(2x3+1), evaluate g'(2).
-4/289
American AP Statistics classes have a national mean score of 3.5 with a standard deviation of 0.5 on a normal distribution. What score must you earn to be in the 84th percentile?
4
Define A&B = A3 + B2 - 1, where A,B < 0. What value C satisfies the equation (-3)&C = 26?
-3sqrt6
What is the standard form equation of a circle with radius of length 5, centered at the origin?
x2+y2=25
Find the x-coordinate of the point where the graph of y=(2x4+x-3)/(x2-3) intersects its non-vertical asymptote.
-15
Evaluate: the limit as x approaches -2 of (2x2-10x-28)/(3x2+2x-8)
9/5
Find any outliers (using the 1.5IQR method) from the following data set: {1,7,20,217,2017}
2017
Find the sum of the first nine terms of an arithmetic sequence of real numbers with 2 as the fifth term and 8 as the thirteenth term.
18
What is the maximum number of cubes of side length 2 that will fit into a rectangular prism box with dimensions 10x12x6?
90
Find the sum of the squares of the solutions to the equation x3+3x2-2x-7=0.
13
Find the volume of the solid of revolution generated by revolving the region bounded by y=sqrt(1-x2) and y=0 about the x-axis.
4pi/3
Everett wants to take a sample of customers at Wal-Mart. If Everett selects every third customer for his sample, what type of random sampling is Everett using?
systematic
If one solution of 2x4-x3-2x+1=0 is x=1, what is the sum of the remaining solutions?
-1/2
Let STORY be a cyclic pentagon such that ST=TO=OR=5, RY=6, and YS=8. Let X be the center of the circumscribed circle of STORY. Given that tanSRY=4/3, compute the length of segment TX.
5
-5
If a curve is continuous, crosses the x-axis at two distinct points, and has a tangent at every point between those two x-intercepts, the tangent to the curve at some point between the x-intercepts is parallel to the x-axis. The theorem above is generally attributed to what mathematician (last name only)?
ROLLE
The results of Mr. Ferguson’s test form a normal distribution with a mean of 71 and a standard deviation of 8. Using the empirical percentages, find the probability that a student scored between 63 and 87 on Mr. Ferguson’s test.
0.815