What is the least common denominator for the fractions below? 1/2, 2/3, 4/5

Correct Answer: A

Rationale: To find the least common denominator for fractions 1/2, 2/3, and 4/5, we need to identify the least common multiple of the denominators. The denominators are 2, 3, and 5. The least common multiple of 2, 3, and 5 is 30. Therefore, 30 is the least common denominator for these fractions. Choice B (25), C (7), and D (19) are incorrect because they are not the least common multiple of the denominators of the given fractions.

Correct Answer: C

Rationale: In this question, the babies' measured weight in a study of the average weight of babies at different time intervals after birth is considered a dependent variable. The dependent variable is the one being measured and tested in an experiment; its value depends on other factors being studied. In this context, the babies' measured weight changes based on the time intervals after birth, making it dependent on the time factor. Option A) Independent is incorrect because the time intervals after birth are influencing the babies' weight, so it is not independent. Option B) Control is incorrect because a control variable is a factor held constant to test the effect of the independent variable. In this case, the babies' weight is not a control variable. Option D) Constant is incorrect because the babies' measured weight is not staying the same but is changing based on the time intervals after birth. Understanding variables in research is crucial for students preparing for the TEAS exam as it helps them comprehend experimental design, data analysis, and drawing conclusions. Recognizing the dependent variable in a study is essential for understanding how changes in other factors affect the outcome being measured. This question reinforces the importance of identifying variables correctly in research scenarios, a skill that is fundamental in science and healthcare fields.

Correct Answer: A

Rationale: The ratio 4:3 implies that for every 4 oz of yogurt, there are 3 oz of toppings. To find the amount of yogurt when the friend has 4.5 oz of toppings, we use the proportion: (4/3) 4.5 = 6 oz. Therefore, the amount of yogurt in their dessert is 6 oz. Choices B, C, and D are incorrect as they do not reflect the correct calculation based on the given ratio.

Correct Answer: C

Rationale: To convert a percentage to a decimal, you move the decimal point two places to the left. Therefore, 87.5% as a decimal is 0.875. Choice A (875) is incorrect as it represents the percentage without converting to a decimal. Choice B (8,750) is incorrect as it represents the percentage in whole numbers without decimal conversion. Choice D (8.75) is incorrect as it represents 875% instead of 87.5%.

Correct Answer: D

Rationale: In the TEAS Practice Test Math question asking for the most likely weight of a pencil, the correct answer is D) 25 g. This is the correct choice because grams (g) are the standard unit of measurement for small objects like a pencil. In the context of weight, grams are used to measure lightweight items accurately. Option A) 25 kg is incorrect because kilograms are used for much larger and heavier items, like a person or a large sack of potatoes. Option B) 25 cm is incorrect because centimeters are a unit of length, not weight. Option C) 25 mg is incorrect as milligrams are used for very small and light items, such as medication dosage or fine powders. Educationally, understanding units of measurement is crucial for practical applications in math and science. Students need to grasp the appropriate unit for measuring weight to ensure accuracy and precision in calculations. This question helps reinforce the concept of selecting the correct unit based on the object being measured, enhancing students' critical thinking and problem-solving skills.