If a person who was born in the 1700’s turned n years old in the year n^3. In what year did that person turn 50?
A video store rents, on average, 240 videos a day for $2.00 each. The store determined that for every $0.25 that it increases the rental fee, the number of daily rentals will decrease by 10. This relationship can be represented by
y=(240-10n)(2+0.25n)
where y is the daily income in dollars from video rentals and n is the number of $0.25 increases. Based on this relationship, at what rental fee per video will the store have its highest daily income?
A)$2
B)$4
C)$4.25
D)$7.75
E)$8
SAT2 question:)
Subject Test Question:
The standard equation of a parabola with focus (2, -3) and directrix x=6 is
B) x-4 = -8(y+3)^2.
I did not get this answer. Instead I got (y+3)^2 = -8(x-4)
Subject Test Question:
If f(x)=[2x]-4x with domain 0≤x≤2, then f(x) can also be written as
A) 2x
B) -x
C) -2x
D) x^2 – 4x
E) none of the above
Subject Test Question:
The area bound by the relationship |x|+|y|=2 is
A) 8
B)1
C) 2
D) 4
E) there is no finite area.
How do you find this algebraically?
If (A,B) is the solution to the system of the equations shown in the graph above , What is the value of A+B ?
A) -18
B) -9
C) 1
D) 5.5
The bar graph above shows the number of students who were absent from Jackson High School each day last week. Of those students, 8 were absent exactly 2 days each, 1 was absent 3 days, and no students were absent more than 3 days. If 5 percent of the students were absent at least 1 day last week, how many students are enrolled in Jackson High School?
Hi mike, I don’t know how to answer questions like these; would you tell me the right way to do so?
In the xy-coordinate plane, point P is the reflection of the point with coordinates (3,1) across the line y=x. Point T is the reflection of point P across the y axis. What are the coordinates of T?
A) (-3,1)
B) (-1,-3)
C) (-1,3)
D) (1,-3)
E) (3,-1)
a=x^2
b=(x+1)(x-1)
c=(x+1)^2
If x is less than or equal to 0 in the three equations above, what is the ordering of A, B and C
a) A<B<C
b) B<A<C
c) B<C<A
d) C<A<B
e) C<B<A
In the xy plane the point (3,0) is the center of a circle that has a radius of 3. Which of the following is not a point on the circle?
A) (6,0)
B) (6, -3)
C) (3,3)
D) (3,-3)
E) (0,0)
In the xy coordinate plane, a circle with radius 2 has its center at the point (3,5). When the circle is reflected across the x- axis its image is another circle. What is the distance between the centers of the two circle?
A) 4
B) 6
C) 8
D) 10
E) 14
Hi mike! This question is from the May 2015 SAT.
(will post photo)
In the xy plane above, f and g are functions defined by f(x)=abs[x] and g(x)=-abs[x] + 3 for all values x. What is the area of the shaded region bounded by the graphs of the two functions?
The new SAT places a heavy emphasis on the “Heart of Algebra,” which is a bizarre and tortured euphemism for, mostly, working with linear equations. One of the kinds of questions you know you’re going to see, probably more than once, on your SAT is solving systems of linear equations. For example: Which ordered pair satisfies (more…)
As I said in my last post, I’m busy working on the new edition of the Math Guide for the new SAT. Here’s another quick pair of graph questions for you to try out. You don’t need to be a site member to take this little quiz, but I’d encourage it. Site membership is free, (more…)
I’m in full-on writing mode for the next edition of the Math Guide, which will of course be aimed at the new SAT that debuts March 2016 (and the new PSAT, which debuts in October of this year). The new test is pretty different, so it’ll be a major overhaul—some chapters in the current guide (more…)