Cooridinate Geo
Data/Percentages
Trig and Advanced Algebra
Geometry
Functions/Equations
100
A car moves at a constant speed of 55 miles per hour with no stops. At this rate, how many miles will the car have traveled after 7 hours?
385
100
8, 11, 11, 15, 16, 23
What is the mean of the data shown?
14
100
In triangle DEF, angle D is a right angle. If sin(E) = 
, what is the value of sin(F)?
20/29
100
A certain cone has a height of 15 centimeters (cm) and a volume of 80π cm3. What is the diameter, in cm, of this cone?
8
100
The total rainfall, in inches, for a certain county from 2010 to 2020 can be modeled by the equation y = –0.14x + 7.8, where x is the number of years since 2010 and y is the total annual rainfall. Which of the following is the best interpretation of the number –0.14 in this context?
A) The total annual rainfall in 2010
B) The total annual rainfall in 2020
C) The difference between the total rainfall in 2010 and the total rainfall in 2020
D) The decrease in average rainfall per year from 2010 to 2020
D) The decrease in average rainfall per year from 2010 to 2020
200
–5x2 + y = –578
20x = 7 – y
The graphs of the equations in the given system of equations intersect at the point (x, y) in the xy-plane. Which of the following is a possible value of y?
a= -13
b=4
c=173
d=267
D= 267
200
12, 12, 12, 17, 5, 8, 2, 10, 3, 11, 19, 9
The data set shown represents the masses, in grams, of different bacteria samples. What is the mean mass, in grams, of these bacteria samples?
10
200
In the xy-plane, the line determined by the points (c, 3) and (27, c) intersects the origin. Which of the following could be the value of c?
9
200
What is the edge length, in inches, of a cube with a volume of 729 cubic inches?
9
200
An online store has a promotion in which the first 5 pairs of sunglasses that a customer buys cost $39 each and each additional pair of sunglasses costs $13. If a customer buys p pairs of sunglasses, and p ≥ 5, which function h gives the total cost, in dollars, for all the sunglasses the customer buys?
a:
h(p) = –65 + 52p
b:
h(p) = 39 + 13p
c:
h(p) = 130 + 13p
d:
h(p) = 195 + 13p
C: h(p) = 130 + 13p
300
In the xy-plane, a parabola has the equation y = –3x2 + 5x. If a line with the equation 3y = k intersects the parabola at exactly one point, and k is a constant, what is the value of k?
6.25
300
A random sample of 75 students in a first-year medical school class of 265 students was surveyed to determine the distribution of blood types among the students. Based on the survey, it is estimated that 39% of the students have O-positive blood type, with an associated margin of error of 6%. Based on these results, what is a plausible number of students out of the entire first-year class who have O-positive blood type?
A) 16
B) 39
C) 74
D) 100
D) 100
300
Function a is defined by a(x) = −2x2 − 16x + 7.5, and function b is defined by b(x) = a(x − 7). What is the value of x when b(x) is at its maximum?
3
300
The volume of a cube is v = 
c^3, where c is a positive constant. What is the surface area of the cube?
6(c/2)^2
300
The function q is defined by q(x) = (x – 9)(x + 2)(x + 9). When the graph of y = q(x) is translated down 10 units in the xy-plane, the graph of y = r(x) is the result. What is the value of r(0)?
-172
400
The equation 7x(7x + 6) = –c has exactly two real solutions. If c is an integer constant, what is the greatest possible value of c?
8
400
114, 109, 106, 111
A data set consists of 5 positive integers greater than 1. What is the value of the smallest integer in the data set if the mean of the entire data set is an integer that is less than the mean of the 4 integers from the data set?
105
400
A parabola with the equation y = x2 − 2x + 16 is graphed in the xy-plane. A line with the equation y = −6x − k, where k is a constant, intersects the parabola at exactly one point. What is the x-coordinate at the point of intersection?
-2
400
In triangle ABC, the measure of ∠B is 90°, BC=16, and AC=20. Triangle DEF is similar to triangle ABC, where vertices D, E, and F correspond to vertices A, B, and C, respectively, and each side of triangle DEF is 1/3 the length of the corresponding side of triangle ABC. What is the value of sinF?
sinF=3/5 or .6
Triangle ABC is a right triangle with its right angle at B. Therefore, AC is the hypotenuse of right triangle ABC, and AB and BC are the legs of right triangle ABC. According to the Pythagorean theorem,
AB=square root (20^2−16^2)= square root (144)=12
Since triangle DEF is similar to triangle ABC, with vertex F corresponding to vertex C, the measure of angle∠F equals the measure of angle∠C. Therefore, sinF=sinC. From the side lengths of triangle ABC,
sinF=opposite side /hypotenuse=AB/AC=12/20=3/5
400
The amount of money in a bank account is represented by g(m) in the equation 
. The variable m represents the number of months after the initial deposit. How long, in months, does it take for the amount of money in the account to increase by 10%?
12