471 103 298 102 simplify the expression which of the following is correct
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ATI TEAS 7

TEAS Exam Math Practice

1. What is the result of (4.71 × 10^3) - (2.98 × 10^2)? Which of the following is the correct simplified expression?

Correct answer: D

Rationale: The correct answer is D: 4.412 × 10^3. To simplify the expression, rewrite 4.71 × 10^3 as 47.1 × 10^2. Subtract the values in front of 10^2: 47.1 - 2.98 = 44.12. Rewriting this gives 44.12 × 10^2 = 4.412 × 10^3. Choice A is incorrect as it does not account for the correct subtraction result. Choice B is incorrect as it does not correctly simplify the expression. Choice C is incorrect as it provides an incorrect power of 10 in the simplified expression.

2. A patient requires a 20% decrease in medication dosage. Their current dosage is 400 mg. What will their dosage be after the decrease?

Correct answer: B

Rationale: To calculate a 20% decrease of 400 mg, you multiply 400 mg by 0.20 to get 80 mg. Subtracting 80 mg from the current dosage of 400 mg results in a new dosage of 320 mg. Choice A is incorrect because it miscalculates the decrease. Choice C is incorrect as it represents a 20% increase instead of a decrease. Choice D is incorrect as it represents the initial dosage, not the reduced dosage.

3. How will 0.80 be written as a percent?

Correct answer: D

Rationale: To convert a decimal to a percent, you multiply by 100. Therefore, 0.80 * 100 = 80%. The correct answer is D. Choice A (40%) is incorrect as 0.80 is not equivalent to 40%. Choice B (125%) is incorrect as it is greater than 100%. Choice C (90%) is incorrect as it does not reflect the correct conversion of 0.80 to a percent.

4. The scatter plot below shows the relationship between the students' exam scores and their heights. Which type of correlation is depicted in the scatter plot?

Correct answer: D

Rationale: The scatter plot illustrates the relationship between students' exam scores and heights. There is no correlation between these variables, as height is not expected to have a direct impact on exam scores. Therefore, choice D, 'No correlation,' is the correct answer. Choices A, 'Positive,' and C, 'Negative,' are incorrect because the scatter plot does not indicate a positive or negative correlation between exam scores and heights. Choice B, 'Positive and Negative,' is also incorrect because the scatter plot does not exhibit both positive and negative correlations simultaneously.

5. There are 20 mg of acetaminophen in concentrated infant drops. If the proper dosage for a four-year-old child is 240 mg, how many milliliters should the child receive?

Correct answer: C

Rationale: To find the correct dosage in milliliters, divide the total required dosage in milligrams (240 mg) by the concentration of the medication in milligrams per milliliter (20 mg/mL). This calculation yields 12 mL, which is the recommended volume for the child. Choice A, 0.8 mL, is incorrect as it does not correspond to the correct dosage. Choice B, 1.6 mL, is incorrect because it also does not match the calculated dosage. Choice D, 3.2 mL, is incorrect as it is not the accurate result of the dosage calculation. Therefore, the correct answer is C, 2.4 mL.

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