Math Practice TEAS Test

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: C

Rationale: To find the percentage of the time Cora did not fall, we subtract the number of times she fell (20) from the total times she skated (27). So, 27 - 20 = 7 times she did not fall. Then, we divide the number of times she did not fall (7) by the total times she skated (27), which is 7/27 ≈ 0.26 or 26%. Therefore, the correct answer is C. Choice A, B, and D are incorrect because they do not accurately represent the percentage of the time Cora did not fall based on the given information.

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.

Correct Answer: A

Rationale: The correct answer is A: Ranges. Histograms display continuous data in intervals or ranges, showing the frequency of data points within each range. This is a key feature that distinguishes histograms from bar graphs, which depict discrete categories. Ranges are crucial in histograms to visualize the distribution of data across different intervals, allowing for a better understanding of the data's spread and frequency distribution. Choices B, C, and D are incorrect as bar graphs also utilize categories, labels, and percentages in their presentation of data, respectively.

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.