18
QuizMultiple Choice

Solving Absolute Value Equations — Unit test

Question 18 • (OC27) MATH COLL ALGEBRA-1200710-S1-Degele-VOL7006P

The heat in the house is set to keep the minimum and maximum temperatures (in degrees Fahrenheit) according to the equation |x – 72.5| = 4. What are the minimum and maximum temperatures in the house?

Answer
A
72.5°F and 76.5°F
B
68.5°F and 76.5°F
C
70.5°F and 74.5°F
D
72.5°F and 74.5°F

Explanation

An absolute value of 4 means the temperature is 4°F away from 72.5°F in either direction. Subtracting and adding 4 gives 72.5 − 4 = 68.5°F and 72.5 + 4 = 76.5°F. The minimum and maximum temperatures are 68.5°F and 76.5°F, choice B.

AI-written and checked against the verified answer.

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