Math Practice TEAS Test

Correct Answer: A

Rationale: The correct answer is A: 2.54 centimeters in an inch; 0.393 inches in a centimeter. The conversion factor between inches and centimeters is 2.54, derived from the definition of an inch. To convert inches to centimeters, you multiply by 2.54. Conversely, to convert centimeters to inches, you divide by 2.54. The other choices are incorrect because they do not reflect the accurate conversion factor between inches and centimeters. B and C have incorrect conversion ratios, while D has an incorrect relationship between inches and centimeters.

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: 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: A

Rationale: The correct answer is A. To distinguish between the three types of graphs in scatterplots, look at the patterns. Linear graphs show a straight line, quadratic graphs show a U-shape, and exponential graphs rise or fall quickly in one direction. This is because linear relationships have a constant rate of change, quadratic relationships have a squared relationship, and exponential relationships have a constant ratio of change. Choice B is incorrect as it does not accurately describe the characteristics of each graph type. Choice C is incorrect as it mentions zigzag lines for linear graphs, which is not a typical characteristic. Choice D is incorrect as it describes a W-shape for quadratic graphs, which is not accurate. Overall, choice A provides a clear and accurate description of how to distinguish between linear, quadratic, and exponential graphs in scatterplots.

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.