evaluate the following expression x y xy if x 4 and y 2
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HESI A2

HESI A2 Math Practice Exam

1. Evaluate the following expression: -x + y + xy, when x = 4 and y = 2.

Correct answer: B

Rationale: To evaluate the expression, substitute x = 4 and y = 2 into the expression: -4 + 2 + 4*2. Calculate each term: -4 + 2 = -2, then 4*2 = 8. Adding these results gives -2 + 8 = 6. Therefore, the correct answer is 6. Choice A (2) is incorrect as it does not consider all terms in the expression. Choice C (12) is incorrect as it miscalculates the result by failing to account for the negative sign. Choice D (8) is incorrect as it doesn't consider the negative value of the first term in the expression.

2. If the outside temperature is currently 22 degrees on the Celsius scale, what is the approximate temperature on the Fahrenheit scale?

Correct answer: D

Rationale: To convert Celsius to Fahrenheit, you can use the formula: F = (C x 1.8) + 32. Substituting C = 22 into the formula gives: F = (22 x 1.8) + 32 = 39.6 + 32 = 71.6°F. Therefore, the approximate temperature on the Fahrenheit scale when it is 22 degrees Celsius is 71.6°F. Choices A, B, and C are incorrect because they do not match the correct conversion result. Choice A, 56°F, is lower than the correct conversion. Choice B, 62°F, is also lower than the correct conversion. Choice C, 66.5°F, is not a whole number and does not match the precise conversion of 71.6°F. Thus, the correct answer is 71.6°F.

3. What is the volume of an Egyptian model pyramid with a square base side length of 10cm and a height of 8cm?

Correct answer: D

Rationale: To find the volume of a pyramid, we use the formula: Volume = (1/3) * base area * height. First, calculate the base area by squaring the base side length: 10cm * 10cm = 100 sq cm. Substitute the values into the formula: Volume = (1/3) * 100 sq cm * 8cm = 80 cu cm. Therefore, the correct answer is 160 cu cm. Choices A, B, and C are incorrect because they do not correctly calculate the volume of the pyramid based on the given dimensions.

4. How many milligrams are in 3.4 grams?

Correct answer: B

Rationale: To convert grams to milligrams, you need to multiply by 1,000 because there are 1,000 milligrams in 1 gram. Therefore, to find out how many milligrams are in 3.4 grams, you multiply 3.4 by 1,000 which equals 3,400 mg. Choices A, C, and D are incorrect because they do not correctly convert grams to milligrams.

5. In a table showing blood pressure readings for different age groups, how do you determine the patient with the highest systolic pressure?

Correct answer: A

Rationale: To determine the patient with the highest systolic pressure from the table, you should find the largest number in the 'systolic pressure' column. This method directly identifies the individual with the highest systolic pressure. Comparing the means (averages) of each age group, as suggested in choice B, may not pinpoint the specific patient with the highest systolic pressure, as averages can sometimes mask extreme values. Adding all systolic pressure values and dividing by the total number of patients, as in choice C, calculates the average systolic pressure for all patients, not identifying the highest individual reading. Subtracting the lowest systolic pressure from the highest, as in choice D, determines the range of systolic pressures but does not directly point out the patient with the highest reading.

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