In the figure shown, lines k and m are parallel to each other. Is x=z ?

(1) x=w

(2) y=180–w

Some computers at a certain company are Brand X and the rest are Brand Y. If the ratio of the number of Brand Y computers to the number of Brand X computers at the company is 5 to 6, how many of the computers are Brand Y ?

(1) There are 80 more Brand X computers than Brand Y computers at the company.

(2) There is a total of 880 computers at the company.

A candle company determines that, for a certain specialty candle, the supply function is p = m₁x + b₁ and the demand function is p = m₂x + b₂, where p is the price of each candle, x is the number of candles supplied or demanded, and m₁, m₂, b₁, and b₁ are constants. At what value of x do the graphs of the supply function and demand function intersect?

(1) m₁ = –m₂ = 0.005

(2) b₂ – b₁ = 6

A certain dealership has a number of cars to be sold by its salespeople. How many cars are to be sold?

(1) If each of the salespeople sells 4 of the cars, 23 cars will remain unsold.

(2) If each of the salespeople sells 6 of the cars, 5 cars will remain unsold.

What is the ratio of c to d ?

(1) The ratio of 3c to 3d is 3 to 4.

(2) The ratio of c + 3 to d + 3 is 4 to 5.

If x and y are positive, is xy > x + y ?

(1) x < y

(2) 2 < x

If Ann saves x dollars each week and Beth saves y dollars each week, what is the total amount that they save per week?

(1) Beth saves $5 more per week than Ann saves per week.

(2) It takes Ann 6 weeks to save the same amount that Beth saves in 5 weeks.

A retailer purchased a television set for x percent less than its list price, and then sold it for y percent less than its list price. What was the list price of the television set?

(1) x = 15

(2) x − y = 5

. Is k + m < 0 ?

(1) k < 0

(2) km > 0

For all x, the expression x* is defined to be ax + a, where a is a constant. What is the value of 2* ?

(1) 3* = 2

(2) 5* = 3