Each week Connie receives a base salary of $500, plus a 20 percent commission on the total amount of her sales that week in excess of $1,500. What was the total amount of Connie's sales last week?

(1) Last week Connie's base salary and commission totaled $1,200.
(2) Last week Connie's commission was $700.

In the xy-plane, line k passes through the point (1,1) and line m passes through the point (1,-1). Are lines k and m perpendicular to each other?

(1) Lines k and m intersect at the point (1,-1).
(2) Line k intersects the x-axis at the point (1,0).

If a and b are nonzero numbers on the number line, is 0 between a and b ?

(1) The distance between 0 and a is greater than the distance between 0 and b.
(2) The sum of the distances between 0 and a and between 0 and b is greater than the distance between 0 and the sum a + b .

If k is a positive integer and the tens digit of k + 5 is 4, what is the tens digit of k ?

(1) k > 35
(2) The units digit of k is greater than 5.

If zt < -3, is z < 4 ?

(1) z < 9
(2) t < -4

Greta and Randy collected bottles to be recycled. How many bottles did Randy collect?

(1) Greta and Randy collected a total of 85 bottles.
(2) Greta collected 15 more bottles than Randy did.

In a certain senior class, 72 percent of the male students and 80 percent of the female students have applied to college. What fraction of the students in the senior class are male?

(1) There are 840 students in the senior class.
(2) 75 percent of the students in the senior class have applied to college.

A certain circular area has its center at point P and has radius 4, and points X and Y lie in the same plane as the circular area. Does point Y lie outside the circular area?

(1) The distance between point P and point X is 4.5.
(2) The distance between point X and point Y is 9.

If the prime numbers p and t are the only prime factors of the integer m, is m a multiple of p²t ?

(1) m has more than 9 positive factors.
(2) m is a multiple of p³.

If x and y are points on the number line, what is the value of x + y ?

(1) 6 is halfway between x and y.
(2) y = 2x