multiply 49 x 1 45 x 25
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HESI A2

HESI A2 Math Practice

1. Multiply: 4/9 × 1 4/5 × 2/5.

Correct answer: A

Rationale: To multiply the fractions, convert the mixed numbers to improper fractions: 1 4/5 = 9/5. Then, multiply the fractions: (4/9) × (9/5) × (2/5) = 8/25. The correct answer is A. Choice B is incorrect as it does not match the result of the multiplication. Choice C is incorrect as it is not the result of multiplying the fractions. Choice D is incorrect as it is not the result of the given multiplication.

2. Select the word or phrase in the sentence that is not used correctly: 'Her teacher asked her what would she do after she graduated from nursing school.'

Correct answer: C

Rationale: The correct answer is C. The phrase 'what would she do' is incorrect because in English questions, the word order for modal verbs like 'would' should be 'she would do' instead of 'would she do'. The correct structure should be 'her teacher asked her what she would do after she graduated from nursing school.' Choices A, B, and D are used correctly in the sentence and do not contain any errors.

3. What determines polarity in a molecule?

Correct answer: C

Rationale: Polarity in a molecule is determined by the difference in electronegativity between the atoms forming the bond. The greater the difference in electronegativity, the more polar the bond and molecule become. This difference leads to an uneven distribution of electron density within the bond, creating partial positive and negative charges on the atoms involved. Choices A, B, and D are incorrect. Bond length and strength do not determine polarity, and molecular weight is not directly related to the polarity of a molecule.

4. A mother is planning a birthday party. She will give each child 15 balloons. There are 50 balloons per packet. How many packets does the mother need if there will be 16 children?

Correct answer: B

Rationale: To calculate the total number of balloons needed, multiply the number of children by the balloons each child will receive: 16 children * 15 balloons = 240 balloons. Since there are 50 balloons per packet, divide the total number of balloons needed by the balloons per packet: 240 balloons ÷ 50 balloons per packet = 4.8 packets. As you cannot buy a fraction of a packet, the mother will need to round up to the nearest whole number of packets, which is 5. Therefore, the correct answer is 5 packets. Choice A (17) is incorrect because it does not accurately calculate the number of packets needed. Choice C (6) is incorrect as it overestimates the number of packets required. Choice D (50) is incorrect as it does not consider the number of children and balloons per child in the calculation.

5. A 5-cm candle is placed 20 cm away from a concave mirror with a focal length of 10 cm. What is the image distance of the candle?

Correct answer: C

Rationale: To find the image distance of the candle, we use the mirror formula: 1/f = 1/do + 1/di, where f is the focal length, do is the object distance, and di is the image distance. In this case, the focal length f = 10 cm and the object distance do = 20 cm. Substituting these values into the formula gives us 1/10 = 1/20 + 1/di. Solving for di, we get di = 60 cm. Therefore, the image distance of the candle is 60 cm. Choice A (20 cm) is incorrect because it represents the object distance, not the image distance. Choice B (40 cm) is incorrect as it does not consider the mirror formula calculation. Choice D (75 cm) is incorrect as it does not match the correct calculation based on the mirror formula.

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