Problem 1 :
In the xy-plane, the line determined by the points (c, 11) and (-1, c) intersects the y-axisat y = 5. Which of the following could be the value of c?
A) -3
B) 1
C) 2
D) 4
Solution :
Problem 2 :
The function is g is defined by g(x) = c√x + d, where c and d are constants. In the xy-plane, the graph of y = g(x) passes through the point (16, 0) and g(36) is less than 0. Which of the following must be true?
A) g(0) = 36
B) g(0) = -36
C) c > d
D) c < d
Solution :
Problem 3 :
The quadratic equation ax2 + 200x + c = 0 has at least one real solution. What is the greatest possible value of c?
Solution :
Problem 4 :
Which of the following equations represents a circle in the xy-plane that intersects the y-axis at exactly one point?
A) (x – 8)2 + (y – 8)2 = 16
B) (x – 8)2 + (y – 4)2 = 16
C) (x – 4)2 + (y – 9)2 = 16
D) x)2 + (y – 9)2 = 16
Solution :
Problem 5 :
In triangles ABC and DEF, angles B and E each have measure 27° and angles C and F each have measure 41°. Which additional piece of information is sufficient to determine whether triangle ABC is congruent to triangle upper DEF ?
A) The measure of angle upper A
B) The length of side AB
C) The lengths of sides BC and EF
D) No additional information is necessary.
Solution :
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