solve for x 3x 9 0
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HESI A2

HESI A2 Math Practice

1. Solve for x: 3x + 9 = 0.

Correct answer: B

Rationale: To solve the equation 3x + 9 = 0, first, isolate the variable x. Subtract 9 from both sides to get 3x = -9. Then, divide by 3 to solve for x, giving x = -3. Therefore, the correct answer is B. Choice A, x = -3, is the correct solution. Choices C and D are incorrect as they do not satisfy the equation when substituted back into it.

2. Change 1/6 to a percent.

Correct answer: A

Rationale: To convert 1/6 to a percentage, you multiply 1/6 by 100. This gives you 16.67%. Choice A is correct. Choice B, 15%, is incorrect as it is the rounded value of 1/6 as a percentage. Choice C, 14%, and Choice D, 17%, are also incorrect as they do not represent the accurate conversion of 1/6 to a percentage.

3. 5 1\3 + 3 1\2.

Correct answer: A

Rationale: 5 1\3 + 3 1\2 equals 8 5\6.

4. A train leaves the station at 1:45 PM traveling at a constant speed of 65 mph. If it arrives at its destination at 3:15 PM, how many miles did it travel?

Correct answer: A

Rationale: To calculate the distance traveled by the train, multiply the speed (65 mph) by the time it took to reach the destination, which is 1.5 hours (3:15 PM - 1:45 PM = 1.5 hours). Therefore, 65 mph × 1.5 hours = 97.5 miles. This calculation is correct because distance = speed × time. Choices B, C, and D are incorrect as they do not reflect the correct calculation based on the given information.

5. Convert 2100 to standard time.

Correct answer: C

Rationale: Military time is based on a 24-hour clock. To convert 2100 hours to standard time, subtract 1200 from the time if it is greater than or equal to 1300. In this case, 2100 - 1200 = 900, which corresponds to 9:00 PM in standard time. Choice A, 12:00 PM, is incorrect because 2100 is in the evening, not noon. Choice B, 2:00 AM, is incorrect as it represents the early morning hours. Choice D, 2:00 PM, is incorrect as it is in the afternoon, not the evening.

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