Is xy<6?

(1)x<3 and y<2

(2)1/2 < x < 2/3 and y²<64

What is the median of the data set S that consists of the integers 17, 29, 10, 26, 15, and x?

(1)The average (arithmetic mean) of S is 17.

(2)The range of S is 24.

What is the value of x?

(1)4^x+1+4^x=320

(2)x²=9

If x≠1，is y equal to x+1?

(1)~$\frac{y-2}{x-1}$~=1

(2)y²=(x+1)²

What is the value of x?

(1)x⁴+x²+1=~$\frac{1}{x^4+x^2+1}$~

(2)x³+x²=0

If y=2^x+1,what is the value of y-x?
(1)2^2x+2=64

(2)y=2^2x-1

Merle's spare change jar has exactly 16 U.S. coins, each of which is a 1-cent coin, a 5-cent coin, a 10-cent coin, a 25-cent coin or a 50-cent coin. If the total value of the coins in the jar is 288 U.S. cents, how many 1-cent coins are in the jar?

(1)The exact numbers of 10-cent, 25-cent, and 50-cent coins among the 16 coins in the jar are, respectively, 6, 5, and 2.

(2)Among the 16 coins in the jar there are twice as many 10-cent coins as 1-cent coins.

X,81,73,71,98,73,64

What is the value of X in the above list of 7 numbers?

(1)The average (arithmetic mean) of these 7 numbers is 80.

(2)The range of these 7 numbers is 36.

Tami purchased several identically priced metal frames and several identically priced wooden frames for a total pretax price of $144. What was the total pretax price of the metal  frames that Tami purchaseds?

(1)The price of each wooden frame was 60% greater than the price of each wooden frame.

(2)Tami purchased twice as many wooden frames as metal frames.

Three dice, each with faces numbered 1 through 6, were tossed onto a game board. If one of the dice turned up 4, what was the sum of the numbers that turned up on all three dice?

(1)The sum of two of the numbers that turned up was 10.

(2)The sum of two of the numbers that turned up was 11.