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HESI A2

HESI A2 Math Practice Test 2022

1. If 7 is to 9 as x is to 63, find the value of x.

Correct answer: A

Rationale: To find the value of x, set up the proportion 7/9 = x/63. Cross multiply to get 7*63 = 9*x. This simplifies to 441 = 9x. Divide both sides by 9 to solve for x, giving x = 49. Therefore, the correct answer is A. Choice B (x = 39), Choice C (x = 50), and Choice D (x = 59) are incorrect as they do not match the correct calculation based on the proportion set up.

2. Simplify the expression: -5 + (-8)

Correct answer: A

Rationale: When adding two negative numbers, you add their absolute values and keep the negative sign. In this case, -5 + (-8) is equal to -13 because the absolute values of 5 and 8 add up to 13, and the negative sign is retained. Choice B (8) is incorrect because adding two negative numbers results in a negative sum. Choice C (13) is incorrect as it doesn't consider the negative signs of the numbers being added. Choice D (-5) is incorrect because it does not account for the addition of the two negative numbers.

3. Scientific notation is a way to represent very large or small numbers in a compact form. If a number is written as 4.82 x 10^3, what is the value of the number in standard form?

Correct answer: C

Rationale: Rationale: When a number is written in scientific notation as \(a \times 10^n\), the value of the number in standard form is obtained by multiplying \(a\) by \(10^n\). In this case, the number is \(4.82 \times 10^3\). To convert this to standard form, we multiply 4.82 by \(10^3\), which means moving the decimal point 3 places to the right. \(4.82 \times 10^3 = 4820\) Therefore, the value of the number in standard form is 4820, which corresponds to option C.

4. An IV bag contains 500ml of saline solution and needs to be infused over 4 hours. What is the flow rate in drops per minute, assuming 20 drops per milliliter?

Correct answer: C

Rationale: To find the flow rate in drops per minute, first, calculate the total volume in drops by multiplying the volume in milliliters by the number of drops per milliliter (500ml * 20 drops/ml = 10,000 drops). Then, divide this total number of drops by the infusion time in minutes (4 hours * 60 minutes/hour = 240 minutes) to get the flow rate. Therefore, the correct flow rate is 50 drops/min. Choice A is incorrect because it miscalculates the flow rate. Choice B is incorrect as it also miscalculates the flow rate. Choice D is incorrect as it overestimates the flow rate.

5. Subtract 15 3/4 - 8 2/5.

Correct answer: A

Rationale: To subtract mixed numbers, find a common denominator. In this case, the common denominator is 20. Convert 15 3/4 to 15 15/20. Then, subtract 15 15/20 - 8 8/20 = 7 7/20. Therefore, the correct answer is A. Choice B is incorrect as it does not match the result of the subtraction. Choice C is incorrect as it is not the result of the subtraction. Choice D is incorrect as it represents the second number being subtracted, not the result of the subtraction.

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