HESI A2 Math Practice Exam

Correct Answer: B

Rationale: To find the cost of 4 roses, we divide the total cost of 12 roses by 12 to get the cost of 1 rose ($36 / 12 = $3). Then, we multiply the cost of 1 rose by 4 to find the cost of 4 roses ($3 * 4 = $12). Therefore, the correct answer is B. Choice A ($9) is incorrect as it assumes a linear relationship between the number of roses and the cost, which is not the case. Choice C ($10) and Choice D ($15) are also incorrect as they do not follow the correct calculation method.

Correct Answer: C

Rationale: To convert 5 gallons to quarts, we know that 1 gallon = 4 quarts. So, 5 gallons = 5 x 4 = 20 quarts. Since she needs quart jars, Jan will need to buy 20 quart jars to can her 5 gallons of homemade tomatoes. Choices A, B, and D are incorrect because they do not correctly convert gallons to quarts. Choice A (10) is half of the correct answer, choice B (15) is three-quarters, and choice D (25) is more than the actual amount needed.

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: B

Rationale: To find the percentage of band members who missed practice, we need to calculate the ratio of band members who missed practice to the total band members. 9 out of 75 band members missed practice, so the ratio is 9/75 = 0.12 or 12%. Therefore, the correct answer is B (12%). Choice A (10%) is incorrect as 9 out of 75 is not equivalent to 10%. Choice C (15%) is incorrect as 9 out of 75 is not equivalent to 15%. Choice D (18%) is incorrect as 9 out of 75 is not equivalent to 18%.

Correct Answer: D

Rationale: The correct answer is D: 16. A perfect square is a number that can be expressed as the product of an integer multiplied by itself. In this case, 16 is a perfect square because it can be written as 4 x 4. Choices A, B, and C are not perfect squares because they cannot be expressed as the product of an integer multiplied by itself. Thus, 16 is the only number among the choices that fits the definition of a perfect square.