Absolute value Transitional Reasoning Download PDF

Questions

1. 1.

   An environmental testing chamber maintains temperatures relative to a baseline of 0°C. During a test cycle, Sample A is held at -15°C, while Sample B is kept at an unknown integer temperature $T$. The absolute difference between the temperatures of Sample A and Sample B is 22°C. If the distance from Sample B's temperature to the baseline is less than the distance from Sample A's temperature to the baseline, what is the temperature of Sample B?

   • A) -37°C
   • B) 7°C
   • C) -7°C
   • D) 37°C
2. 2.

   A drone conducts automated altitude tests along a vertical axis where a cliff edge serves as the reference level of 0 m. During a trial, the drone hovers at observation point M at an elevation of -32 m. A sensor reports that target point N has a distance from the reference level that is 14 m greater than half the distance of point M from the reference level. If target point N is located above the cliff edge, what is the total vertical distance between point M and point N?

   • A) 30 m
   • B) 62 m
   • C) 2 m
   • D) 46 m