HESI A2 Math Practice Exam

Correct Answer: C

Rationale: To convert 5 3/4 to a decimal, first convert the mixed number to an improper fraction: 5 3/4 = (4*5 + 3)/4 = 23/4. Then, divide the numerator by the denominator to get the decimal: 23 ÷ 4 = 5.75. Rounding to the nearest tenth gives 5.8, which is choice C. Choices A, B, and D are incorrect because they do not accurately represent the decimal equivalent of 5 3/4 rounded to the nearest tenth.

Correct Answer: C

Rationale: To convert 5 3/4 to a decimal, first convert the mixed number to an improper fraction: 5 3/4 = (4*5 + 3)/4 = 23/4. Then, divide the numerator by the denominator to get the decimal: 23 ÷ 4 = 5.75. Rounding to the nearest tenth gives 5.8, which is choice C. Choices A, B, and D are incorrect because they do not accurately represent the decimal equivalent of 5 3/4 rounded to the nearest tenth.

Correct Answer: B

Rationale: To calculate the percentage increase, subtract the initial price ($9.00) from the final price ($10.00) to get the increase ($1.00). Then, divide the increase by the initial price ($1.00 / $9.00 = 0.1111). Convert the result to a percentage by multiplying by 100, giving 11.11%. Choice B (11.11%) is correct. Choice A (5%) is incorrect because the increase is $1.00, not $0.45. Choice C (20%) and Choice D (25%) are also incorrect as they do not accurately reflect the calculated percentage increase of 11.11%.

Correct Answer: A

Rationale: To find the number of black marbles, we need to subtract the number of white marbles from the total. 34% of 6,657 is white marbles, which is approximately 2,261. So, the number of black marbles is 6,657 - 2,261 = 4,396. The closest option is A: 4,394, which is the correct answer. Choices B, C, and D are incorrect because they do not accurately represent the calculated number of black marbles.

Correct Answer: B

Rationale: To evaluate the expression -x + y + xy with x = 4 and y = 2: Substitute x and y values: -4 + 2 + 4(2) = -4 + 2 + 8 = 6 (B). Explanation: Follow the order of operations (PEMDAS) to simplify the expression correctly. Option A is incorrect as it does not match the result obtained. Option C is incorrect as it does not consider the negative sign in the expression. Option D is incorrect as it does not account for the addition and multiplication operations in the expression.