1. In the [latex]xy[latex]-plane, the equation of line [latex]k[latex] is [latex]3x-2y=0[latex].

 Quantity A Quantity B The [latex]x[latex]-intercept of line [latex]k[latex] The [latex]y[latex]-intercept of line [latex]k[latex]

2. In the [latex]xy[latex]-plane, line [latex]k[latex] is a line that does not pass through the origin.
Which of the following statements individually provide(s) sufﬁcient additional information to determine whether the slope of line [latex]k[latex] is negative?
Indicate all such statements.

(A) The [latex]x[latex]-intercept of line [latex]k[latex] is twice the [latex]y[latex]-intercept of line [latex]k[latex]. 
(B) The product of the [latex]x[latex]-intercept and the [latex]y[latex]-intercept of line [latex]k[latex] is positive. 
(C) Line [latex]k[latex] passes through the points ( and where [latex]a,b)( r,s), (a-r)(b-s)<0[latex].

3. [latex]P, Q[latex], and [latex]R[latex] are three points in a plane, and [latex]R[latex] does not lie on line [latex]PQ[latex]. Which of the following is true about the set of all points in the plane that are the same distance from all three points? 

(A) It contains no points. 
(B) It contains one point. 
(C) It contains two points. 
(D) It is a line. 
(E) It is a circle.

4. In the [latex]xy[latex]–plane, the point with coordinates is the center of circle [latex]C(-6,-7)[latex] The point with coordinates lies inside [latex]C[latex]( , and the point with [latex]-6,5[latex]) coordinates lies outside C. If [latex]m[latex] is the radius of [latex]C[latex] and [latex]m[latex] ([latex]8[latex], is an [latex]-7[latex]) integer, what is the value of [latex]m[latex] ?

5.

What is the slope of line [latex]k[latex] in the [latex]xy[latex]-plane above? 

(A) [latex]-5[latex] 
(B) [latex]-1[latex] 
(C) [latex]0[latex] 
(D) [latex]1[latex]  
(E) [latex]5[latex] 

6. Eight points are equally spaced on a circle. If [latex]4[latex]  of the [latex]8[latex]  points are to be chosen at random, what is the probability that a quadrilateral having the [latex]4[latex]  points chosen as vertices will be a square? 

(A) [latex]\frac{ 1 }{ 70 }[latex]
(B) [latex]\frac{ 1 }{ 35 }[latex] 
(C) [latex]\frac{ 1 }{ 7 }[latex]  
(D) [latex]\frac{ 1 }{ 4 }[latex]  
(E) [latex]\frac{ 1 }{ 2 }[latex] 

7. In the figure, the horizontal and vertical lines divide the square [latex] ABCD[latex] into [latex]16[latex] equal squares as shown. What is the area of the shaded region?

(A) [latex]4[latex]
(B) [latex]4.5[latex]
(C) [latex]5[latex]
(D) [latex]6.5[latex]
(E) [latex]7[latex]

8. In the rectangular coordinate plane shown, what are the coordinates of point [latex]E[latex] ?

(A) [latex](2, 0)[latex]
(B) [latex](2, 3)[latex]
(C) [latex](6, 2)[latex]
(D) [latex](6, 6)[latex]
(E) [latex](6, 8)[latex]

9. In the two figures shown, line [latex]l[latex] represents the function [latex]f[latex] and line [latex]m[latex] represents the function [latex]g[latex].

 Quantity A Quantity B [latex]f(10)[latex] [latex]g(10)[latex]

10. Which of the following statements is true about the line segment with endpoints [latex](-1, 1)[latex] and [latex](1, -1)[latex]?

(A) Crosses the [latex]x[latex]-axis only.
(B) Crosses the [latex]y[latex]-axis only.
(C) Crosses the [latex]y[latex]-axis on its positive side.
(D) Passes through the origin [latex](0, 0)[latex].
(E) Crosses the [latex]x[latex]- and [latex]y[latex]-axes on their negative sides.

11. Which of the following could be the equation of line [latex]l[latex] in the figure above?

(A) [latex]2x = 3y – 2[latex]
(B) [latex]2x = 3y – 6[latex]
(C) [latex]3x = 2y – 6[latex]
(D) [latex]\frac {2}{3}*x = 2y –2[latex]
(E) [latex]\frac {2}{3}*2x = 3y – 6[latex]

12.

 Quantity A Quantity B The slope of a line passing through [latex](-3, -4)[latex] and the origin The slope of a line passing through [latex](-5, -6)[latex] and the origin

13. A line has the equation [latex]2y-4x-8 = 0[latex].

 Quantity A Quantity B The slope of the line [latex]4[latex]

14. What is the equation of the line that passes through [latex](-1,-3)[latex] and has a slope of [latex]-2[latex]?

(A) [latex]y = -2x-1[latex]
(B) [latex]y = -2x-2[latex]
(C) [latex]y = -2x-5[latex]
(D) [latex]y = -4x-2[latex]
(E) [latex]y = -5x + 2[latex]

15. In the coordinate plane, line [latex]p[latex] has an equation of [latex]3y-9x = 9[latex]

 Quantity A Quantity B The slope of line [latex]p[latex] The [latex]x[latex]-intercept of line [latex]p[latex]

1 C
2 A, B, C
3 B
4 13
5 D
6 B
7 E
8 E
9 A
10 D
11 B
12 A
13 B
14 C
15 A