For which of the following functions is it true that -f(x)=f(-x) for all values of x?
A) f(x)=x+4
B )f(x)=x^2+4
C) f(x)=x^3+4
D) f(x)=x^2+x
E) f(x)=x^3+x
(A/8) + (2/9) = (B/72)
In the equation above, if A represents a positive integer which of the following could be the value of B?
A) 7
B) 16
C) 18
D) 26
E) 34
A square with an area of 2 is inscribed in a circle. what is the area of the circle?
A) pie
B) Pie^2
C) 2pie
D) 2 radical pie
E) 4pie
The first term of a certain sequence is -2 and the second term is -4. Every term after the second term is obtained by dividing the sum of the previous two terms by 2. For example, the third term of the sequence is (-4)+ (-2)/2=-3. What is the sixth term of this sequence?
A) -3
B) -27/8
C) -21/8
D) -7/4
E) -1/8
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
The digits of a 2-digit integer are K and V. If 10*K+V=16, which of the following equals 61?
A) 10*V+K
B) 10/V +K
C) 10/K +V
D) (K*V)/ 10
E)10/ (K*V)
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)
A store has gift certificates in the amounts of $5, $10, $15, $20 and $50, Sue gave Bill gift certificates from the store that totaled exactly $235. If she used the minimum number of certificates how many $10 certificates did she give Bill?
A) None
B) One
C) Two
D) Three
E) Four
If x-y+z=10 and -x+y=3 what is the value of z?
A) 13
B) 7
c) 10/3
D) -7
E) -13
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
Thirty different integers are chosen at random from the integers 1-50 inclusive. Which of the following statements must be true?
I. At least on of the integers chosen is odd
II. At least one of the integers chosen is a multiple of 5
III. At least on one of the integers choses is less than 15
A) I
B) II
C) I and II
D) I and III
E) I, II and III
(p^b)^a=(p^2c)^b
In the equation above, a,b,c and p are integers greater than 1. If c=4, what is the value of a?
(Modern bluegrass songs, telling of love and despair and celebrating mountain beauty), reflect the genre’s rural origins.
A) Modern bluegrass songs, telling of love and despair and celebrating mountain beauty,
B) Modern bluegrass songs through their telling of love and despair and celebrating mountain beauty,
I chose choice B but the correct answer is choice A.
( My grandson thinks he can cook better than any other person at the fair; and he) has the blue ribbons to prove it.
A) My grandson thinks he can cook better than any other person at the fair; and he
B) My grandson thinks he can cook better than any other person at the fair, and he
I put choice A but the answer was choice B. Could you also please explain when it is is appropriate to put a semi colon versus a comma?
If x and y are integers such that x^2=64 and y^3=64 which of the following could be true?
I. x=8
II. y= -4
III. x +y= -4
A) I only
B) II only
C) I and III only
D) II and III only
E) I, II and III