A radio station that keeps records of the low temperature each day obtained the following information. The temperature on Monday was below zero, and on Tuesday it was 8°F colder. Wednesday the temperature reading was twice as low as for Tuesday. Thursday the temperature was 4°F higher than on Wednesday. On Friday the temperature warmed up to - 14°F, which was just half of the temperature on Thursday. What was the recorded temperature for Monday?
Let's start by assigning a variable to the temperature on Monday.
Let M be the temperature on Monday.
On Tuesday, the temperature was 8°F colder, so the temperature on Tuesday is M - 8°F.
On Wednesday, the temperature was twice as low as on Tuesday, so the temperature on Wednesday is 2(M - 8°F).
On Thursday, the temperature was 4°F higher than on Wednesday, so the temperature on Thursday is 2(M - 8°F) + 4°F.
On Friday, the temperature warmed up to -14°F, which was half of the temperature on Thursday, so the temperature on Thursday is -14°F * 2 = -28°F.
Using the information from Friday, we can equate -14°F to 2(M - 8°F) + 4°F and solve for M.
-14°F = 2M - 16°F + 4°F
-14°F = 2M - 12°F
-2°F = 2M
M = -1°F
Therefore, the recorded temperature for Monday was -1°F. Answer: \boxed{-1}.