HESI A2 Math Practice Exam

Correct Answer: C

Rationale: To evaluate the expression 3a^2 - 2ab + b^2 with a = 2 and b = -3: 1. Substitute a = 2, b = -3: 3(2)^2 - 2(2)(-3) + (-3)^2 2. Simplify: 3(4) + 12 + 9 = 12 + 12 + 9 = 33 Therefore, the correct answer is C (33). Other choices are incorrect because they do not yield the correct result when substituting a = 2 and b = -3.

Correct Answer: A

Rationale: The correct answer is A: 1,760 yards in a mile. This is because 1 mile is equal to 1,760 yards. To convert miles to yards, you multiply the number of miles by 1,760. The other choices (B, C, D) are incorrect as they do not represent the accurate conversion factor for miles to yards. Option B (1,700) is too low, option C (1,800) is too high, and option D (1,750) is also incorrect. Therefore, the correct answer is A, 1,760 yards in a mile.

Correct Answer: C

Rationale: To convert miles to feet, you need to multiply the number of miles by 5280 (the number of feet in a mile). Therefore, to find how many feet are in 2 miles, you would do 2 x 5280 = 10560 feet. This makes choice C the correct answer. Choices A, B, and D are incorrect because they do not use the correct conversion factor of 5280 feet per mile. Option A is the number of feet in 1 mile, option B and D are incorrect values that do not correspond to the conversion of miles to feet.

Correct Answer: A

Rationale: Certainly! To compare, we need to convert both fractions to a common denominator. LCM of 8 and 100 (8*25) is 100. Sally ate (5/8)*100 = 62.5%. John ate 75%. Clearly, 75% is more than 62.5%. So, John ate more. Other choices are incorrect as they do not consider the actual percentages consumed by Sally and John.

Correct Answer: A

Rationale: To convert 7/8 into a decimal, you simply divide the numerator (7) by the denominator (8), which equals 0.875. To convert to a percent, you multiply the decimal by 100, resulting in 87.5%. Choice A is correct as it correctly represents the decimal and percent equivalents of 7/8. Choices B, C, and D are incorrect because they provide inaccurate decimal and percent conversions that do not match the correct calculations for 7/8.