Math Practice TEAS Test

Correct Answer: A

Rationale: To convert kilograms to pounds, we use the conversion factor 1 kg = 2.20462 lbs. So, to find Stella's weight in pounds, we multiply her weight in kilograms (56) by the conversion factor: 56 kg * 2.20462 lbs/kg ≈ 123.46 lbs. Therefore, Stella's approximate weight in pounds is 123 pounds. Choice B (110 pounds) is incorrect as it underestimates the conversion. Choice C (156 pounds) and D (137 pounds) overestimate the conversion.

Correct Answer: C

Rationale: The correct answer is C, the least common multiple of both denominators. To find the least common denominator of two fractions, you need to determine the smallest number that both denominators can evenly divide into. This is achieved by finding the least common multiple (LCM) of the denominators. The LCM is the smallest number that is a multiple of both denominators, ensuring that when you convert the fractions to have the same denominator, they will be in their simplest form. In contrast, option A is not correct as it refers to finding the least common multiple, not denominator. Option B is incorrect as it does not consider the need for the fractions to have the same denominator. Option D is also incorrect as it refers to the greatest common factor, which is not relevant when finding the least common denominator.

Correct Answer: B

Rationale: The correct answer is B: Frequency. A histogram is preferred over a bar graph when displaying frequency distribution data, as it shows the frequency of values within intervals or bins. It is used to represent continuous data and helps visualize the distribution and shape of the data. Choice A is incorrect because bar graphs are typically used for comparing different categories. Choices C and D are incorrect because percentages and proportions are more suitable for other types of graphs like pie charts or stacked bar graphs.

Correct Answer: B

Rationale: To calculate the total trip duration, first find the time taken for the first leg (305 miles at 65 mph = 305/65 = 4.69 hours). Then factor in the 15-minute stop (0.25 hours). Finally, calculate the time for the second leg (162 miles at 80 mph = 162/80 = 2.03 hours). Add all times together (4.69 + 0.25 + 2.03 = 6.97 hours), which is closest to choice B (6.69 hours). This is the correct answer as it considers the time for each leg and the stop accurately. Other choices are incorrect because they do not accurately calculate the total trip duration.

Correct Answer: C

Rationale: The correct answer is C: 8 pints. There are 8 pints in a gallon because 1 gallon is equivalent to 8 pints. This conversion is based on the fact that a gallon is defined as 128 fluid ounces and a pint is 16 fluid ounces, so 128/16 = 8 pints in a gallon. Choice A (2 pints) is incorrect because it does not correspond to the correct conversion. Choice B (4 pints) is incorrect as it is half of the correct answer. Choice D (16 pints) is incorrect as it represents the total number of fluid ounces in a gallon, not the number of pints.