Math Practice TEAS Test

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: A

Rationale: To solve for x in the equation x + 5 = x - 3, we need to isolate x. Subtract x from both sides to get 5 = -3. This is not possible, so the equation has no solution. Therefore, the correct choice is A: x = -5. This is because when x = -5, -5 + 5 = -5 - 3 simplifies to 0 = -8, which is false. Choices B, C, and D are incorrect because they do not satisfy the original equation when substituted back in.

Correct Answer: B

Rationale: The correct answer is B: 1,000 mm. This is because there are 1,000 millimeters in a meter. The metric system is based on units of 10, so to convert meters to millimeters, you multiply by 1,000 (10 x 10 x 10). Therefore, 1 meter equals 1,000 millimeters. Choice A (100 mm) is incorrect as it represents centimeters, not millimeters. Choice C (10,000 mm) and Choice D (100,000 mm) are incorrect because they are multiples of 1,000 and would be equivalent to 10 meters and 100 meters respectively, not millimeters.

Correct Answer: A

Rationale: To find the ratio of students with brown eyes to students with green eyes, we divide the number of students with brown eyes by the number of students with green eyes. In this case, 14 students with brown eyes divided by 2 students with green eyes equals 7. Therefore, the correct ratio is 7:1 (choice A). Choice B is incorrect as it represents the ratio of 7:2, which is the reverse of the given scenario. Choice C is incorrect as it shows the ratio of 14:2, which can be further simplified to 7:1. Choice D is incorrect as it incorrectly states the ratio as 14:1, which is not the case based on the information provided.

Correct Answer: A

Rationale: The correct answer is A: This is a linear association with a positive correlation. This scatterplot shows a clear pattern where the data points form a straight line that slopes upward from left to right, indicating a positive correlation. Positive correlation means that as one variable increases, the other variable also tends to increase. In this case, the data points are clustered around the line, showing a strong linear relationship. Choices B, C, and D are incorrect because the scatterplot does not exhibit a negative correlation, nonlinear association, or no association. The linear pattern with a positive slope in the scatterplot supports the selection of choice A as the best description of the data.