Question 1 :
In the figure, parallel lines a and b are intersected by lines c, d, and e. If x = 54, v = 127, and w is greater than x, which statement about y and z must be true?
A) z > y
B) z < y
C) z = y
D) z + y = 90
Answer :
Question 2 :
An equilateral triangle has a perimeter of 1200 meters. If the height of the triangle is equal to x√3, what is the value of x?
Answer :
Question 3 :
f(x) = (x + a)(x + b)
For the given function f(x), where a and b are integer constants, f(-21) is greater than 0, f(-15) is greater than 0, and f(-18) is less than 0, what is one possible value of a + b?
Answer :
Question 4 :
Which system of linear equations has no solution?
A)
-3x + 7y = -9
3x - 7y = 9
B)
3x - 7y = 5
2x + 8y = 6
C)
4x - 9y = 7
-12x + 27y = -21
D)
-3x + 8y = 20
6x - 16y = 40
Answer :
Question 5 :
Function f is a quadratic function. The graph of y = f(x) in the xy-plane has a vertex at (-7, 14) and passes through the (-4, -31) and has a y-intercept at (0, a). The graph of 3f(x) has a y-intercept at (0, b). What is the positive difference between a and b?
Answer :
Question 6 :
Each of the following frequency tables represents a data set. Which of these frequency tables represent the data set with the smallest standard deviation?
Answer :
Question 7 :
In the given equation, k is a positive constant. The product of the solutions to the equation is 154. What is the value of k?
Answer :
Question 8 :
Two lines intersect at exactly one point, forming two acute angles and two obtuse angles. The measure of one of these angles is (7x - 210)°. Which of the following could NOT be the sum of the measures of any two of these angles?
A) (-14x + 780)°
B) (-14x + 420)
C) 180°
D) (14x - 420)°
Answer :
Question 9 :
The mass of particles A, B and C are a atomic mass units, b atomic mass units, and c atomic mass units, respectively. If the mass of particle A is 4,600% of the mass of particle c, and the mass of particle c is 0.004% of the mass of particle b, which expression represents the value of a + b in terms of c?
A) 2,960c
B) 4,604c
C) 4,850c
D) 25,046c
Answer :
Question 10 :
In the given equation, a is a constant. The equation has exactly one real solution. What is the minimum possible value of 4a?
Answer :
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