the order of operations pemdas dictates the sequence for evaluating mathematical expressions if a 2 and b 3 what is the value of 3a2 2ab b2

HESI A2

HESI A2 Math Practice Exam

1. The order of operations (PEMDAS) dictates the sequence for evaluating mathematical expressions. If a = 2 and b = -3, what is the value of 3a^2 - 2ab + b^2?

A. -3
B. 0
C. 33
D. 15

Correct answer: C

Rationale: Given expression: 3a^2 - 2ab + b^2. Substitute the values of a and b: 3(2)^2 - 2(2)(-3) + (-3)^2 = 3(4) + 12 + 9 = 12 + 12 + 9 = 24 + 9 = 33. Therefore, the value of the expression is 33, which corresponds to option C. Options A, B, and D are incorrect as they do not accurately evaluate the expression with the given values of a and b.

2. What is the result of dividing 3.44 by 0.6 rounded off to the nearest whole number?

A. 0
B. 6
C. 11
D. 2

Correct answer: B

Rationale: To find the result of dividing 3.44 by 0.6, you perform the division operation: 3.44 ÷ 0.6 = 5.73. When rounded off to the nearest whole number, 5.73 becomes 6. Therefore, the correct answer is 6. Choice A is incorrect as the result is not 0. Choice C is incorrect as it is not the closest whole number to 5.73. Choice D is incorrect as it does not reflect the accurate division result.

3. What time is 6:30 A.M. in military time?

A. 0630
B. 6030
C. 1503
D. 1530

Correct answer: A

Rationale: Military time uses a 24-hour clock format where the hours range from 00 to 23. In this format, 6:30 A.M. is expressed as 0630. Choice B (6030) and Choice C (1503) are incorrect as they do not follow the 24-hour clock format. Choice D (1530) represents 3:30 P.M., not 6:30 A.M.

4. What is the probability of getting a 1 on a six-sided die?

A. 1/6
B. 1/4
C. 1/3
D. 1/2

Correct answer: A

Rationale: The probability of getting a '1' on a six-sided die is 1 out of 6 possible outcomes, making it a 1/6 probability. Therefore, choice A is correct. Choices B, C, and D are incorrect because they do not represent the correct probability of rolling a '1' on a standard six-sided die.