Enter your answer and show all the steps that you use to solve this problem in the space provided.
Write and solve an algebraic equation to find the answer.
From midnight to 6:00 am, the temperature rose 8°C. At 6:00 am, the temperature was
−
20
°
C. What was the temperature at midnight?
Let x represent the temperature at midnight.
Then, x + 8 = -20
Subtract 8 from both sides:
x + 8 - 8 = -20 - 8
x = -28
Therefore, the temperature at midnight was -28°C.
To find the temperature at midnight, we need to set up an algebraic equation. Let's call the temperature at midnight "T".
Based on the given information, we know that the temperature rose by 8°C from midnight to 6:00 am. So, at 6:00 am, the temperature was T + 8°C.
We also know that at 6:00 am, the temperature was -20°C. Therefore, we can write the equation:
T + 8 = -20
To find the value of T, we need to isolate it on one side of the equation. We can do this by subtracting 8 from both sides:
T + 8 - 8 = -20 - 8
T = -28
Therefore, the temperature at midnight was -28°C.
Let's assume that the temperature at midnight is represented by the variable "x".
Since the temperature rose 8°C from midnight to 6:00 am, the temperature at 6:00 am will be x + 8°C.
Given that at 6:00 am the temperature was −20°C, we can set up the equation:
x + 8 = -20
Now we can solve the equation to find the value of x (the temperature at midnight):
Subtracting 8 from both sides of the equation, we get:
x + 8 - 8 = -20 - 8
x = -28
Therefore, the temperature at midnight was -28°C.