HESI A2 Math Practice

Correct Answer: A

Rationale: To subtract mixed numbers, first convert them to improper fractions. 28 3/4 = 115/4 and 5 5/6 = 35/6. Then subtract: 115/4 - 35/6. Find a common denominator, which is 12. So, 115/4 becomes 345/12 and 35/6 becomes 70/12. Subtract to get 275/12 = 22 & 11/12, which is choice A. The other choices are incorrect because they do not match the correct result obtained through the step-by-step subtraction of the mixed numbers converted to improper fractions.

Correct Answer: A

Rationale: The correct answer is A: 1/6. There is only one face showing a 5 on a six-sided die, so the favorable outcome is 1. The total number of possible outcomes when rolling a six-sided die is 6. Therefore, the probability of rolling a 5 is 1/6. Choice B (1/4) is incorrect because there is only one face showing a 5 out of 6 possible outcomes, not 4. Choice C (1/2) is incorrect as it represents the probability of rolling an even number on a six-sided die, not specifically a 5. Choice D (1/3) is incorrect as it does not accurately represent the probability of rolling a 5 on a six-sided die.

Correct Answer: B

Rationale: To convert ounces to milliliters, we need to know that 1 oz is approximately 29.57 mL. Given the bottle contains 3/4 oz of perfume: (3/4) * 29.57 = 22.175 mL, which rounds to 22.5 mL. Thus, the correct answer is B (22.5 mL). Choice A (25 mL) is incorrect as it is the result of rounding up 22.175 mL. Choices C (15 mL) and D (20 mL) are incorrect as they do not align with the conversion factor of 1 oz to mL.

Correct Answer: A

Rationale: To solve for x in the equation x + 44 / 2x = 11, we first simplify by multiplying both sides by 2x to get rid of the fraction. This gives us x^2 + 44 = 22x. Rearranging, we get x^2 - 22x + 44 = 0. This quadratic equation can be factored as (x - 11)(x - 4) = 0. Therefore, x = 11 or x = 4. However, x = 4 does not satisfy the original equation, so the correct answer is x = 11 (Choice A). Choices B, C, and D are incorrect as they do not satisfy the equation after substitution.

Correct Answer: A

Rationale: To subtract mixed numbers, convert them to improper fractions: 6 1/2 = 13/2 and 2 2/3 = 8/3. Next, find a common denominator, which is 6. Subtract the fractions: 13/2 - 8/3 = 39/6 - 16/6 = 23/6. Convert the result back to a mixed number: 23/6 = 3 5/6, which is the correct answer (C). The other choices are incorrect because they do not match the result of the subtraction calculation.