In the standard (x, y) coordinate plane, what is the slope of the line containing the distinct points P and Q?

(1)Both P and Q lie on the graph of |x|+|y| =1

(2)Both P and Q lie on the graph of |x+y|=1

If cubical blocks in a display are stacked one on top of the other on a flat surface, what is the volume of the stack of blocks in cubic centimeters?

(1)The volume of the top block is 8 cubic centimeters.

(2)The height of the stack of blocks is 10 centimeters.

In the figure above,the shaded region represents the front of an upright wooden frame around the entrance to an amusement park ride. If RS= ~$\frac{5\sqrt{3}}{2}$~ meters. what is the area of the front of the frame?

(1)x=9 meters.

(2)ST=2~$\sqrt{3}$~ meters

In the figure above, if the shaded region is rectangular, what is the length of XY?

(1)The perimeter of the shaded region is 24.

(2)The measure of ∠XYZ is 45°.

The table above shows the car rental charges at Thrifty Agency. The daily rate applies for each day or fraction of a day in excess of any multiple of a 7-day week, up to the charge per week ,If Olga rented a car of one of the types indicated, which type was it?

(1)Olga's total rental charge, based only on therates specified, was $184.

(2)Olga rented the car for 10 days.

Alan and Sue have each been saving one dollar a day and will continue to do so for the next month. If Sue began saving several days before Alan, in how many days from today will Alan have saved one-half as much as Sue?

(1)As of today, Alan has saved 7 dollars and Sue has saved 27 dollars.

(2)Three days from today,Alan will have saved one-third as much as Sue.

What is the value of ~$\frac{x}{yz}$~?

(1)x=~$\frac{y}{2}$~ and  z=~$\frac{2x}{5}$~

(2)~$\frac{x}{z}$~=~$\frac{5}{2}$~ and ~$\frac{1}{y}$~=~$\frac{1}{10}$~

If S is the sum of the first n positive integers, what is the value of n?

(1)S<20

(2)S²>220

Of the numbers q,r,s,and t,which is greatest?

(1)The average(arithmetic mean) of q and r is s.

(2)The sum of q and r is t.

A box of light bulbs contains exactly 3 light bulbs that are defective. What is the probability that a sample of light bulbs picked at random from this box will contain at least 1 defective light bulb?

(1)The light bulbs in the sample will be picked 1 at a time without replacement.

(2)The sample will contain exactly 20 light bulbs.