HESI A2 Math Practice

Correct Answer: B

Rationale: The correct answer is B: 1/6. There is only one side on the die that shows a 4 out of six possible outcomes. Thus, the probability of rolling a 4 is 1 out of 6, which simplifies to 1/6. A: 1/2 - Incorrect. The die has 6 sides, not 2. C: 1/3 - Incorrect. There is only one side with a 4, not three. D: 1/2 - Incorrect. Again, the die has 6 sides, not 2.

Correct Answer: A

Rationale: To calculate the distance traveled, we use the formula Distance = Speed x Time. Given speed is 60 mph and time is 2 hours. So, Distance = 60 mph x 2 hours = 120 miles. Therefore, the correct answer is A: 120 miles. Option B (180 miles) is incorrect as it would be the distance traveled if the train traveled for 3 hours at 60 mph. Option C (100 miles) and D (240 miles) are incorrect as they do not align with the actual calculation of Distance = 60 mph x 2 hours = 120 miles.

Correct Answer: B

Rationale: To find the sum of fractions, we add their numerators when the denominators are the same. So, 3/7 + 4/7 + 2/7 = (3 + 4 + 2) / 7 = 9/7. Therefore, the correct answer is B. Choice A is incorrect as it simplifies to 1, not 9/7. Choice C is incorrect as it equals 6/7, not 9/7. Choice D is the same as choice A, simplifying to 1, not 9/7.

Correct Answer: A

Rationale: To subtract fractions, we need a common denominator. In this case, the least common multiple of 6 and 4 is 12. So, 5/6 becomes 10/12 and 3/4 becomes 9/12. Subtracting, 10/12 - 9/12 = 1/12, which is the correct answer (A). The other choices are incorrect because they do not result from the proper subtraction of the fractions using a common denominator. Choice B simplifies to 1/12 but is not the correct calculation. Choice C (1/2) and Choice D (1/8) are unrelated to the subtraction of the given fractions.

Correct Answer: C

Rationale: To solve 8x = x^2, we rearrange the equation to x^2 - 8x = 0. Factoring gives x(x-8) = 0. So, x = 0 or x = 8. Therefore, the correct answer is C (16). Choices A, B, D are incorrect as they do not satisfy the equation x^2 = 8x.