Math Practice TEAS Test

Correct Answer: A

Rationale: The correct answer is A: Mile is bigger; 1 mile is 1.609 km. This is because a mile is a longer unit of measurement compared to a kilometer. The conversion factor is 1 mile equals 1.609 kilometers. To convert miles to kilometers, you multiply the number of miles by 1.609. The other choices are incorrect because: B: Kilometer is bigger; 1 km is 1.609 miles - This is incorrect as a kilometer is shorter than a mile. C: Mile is bigger; 1 mile is 1.5 km - This is incorrect as 1 mile is actually equal to about 1.609 kilometers. D: Kilometer is bigger; 1 km is 2 miles - This is incorrect as a kilometer is shorter than 2 miles.

Correct Answer: A

Rationale: The correct answer is A: PEMDAS. PEMDAS stands for Parentheses, Exponents, Multiplication, Division, Addition, and Subtraction, which is the order of operations in mathematics. By following PEMDAS, you ensure the correct sequence of operations and accurate results in mathematical calculations. Using PEMDAS prevents errors and ambiguity in expressions. It is essential to always use PEMDAS to maintain consistency and accuracy in mathematical computations. Summary of other choices: B: Variables are used in algebra to represent unknown quantities, but they are not always required in all math. C: Conversion factors are used in unit conversions, but they are not universally necessary in all math situations. D: Estimation is a useful skill in math for approximating results but is not a fundamental requirement in all mathematical operations.

Correct Answer: B

Rationale: The correct answer is B (0.151). To calculate the percentage of total rainfall in October, you divide the amount of rainfall in October by the total rainfall in the timeframe. In this case, 0.151 is the correct percentage of rainfall in October. Choice A (0.135), C (0.169), and D (0.177) are incorrect as they do not accurately represent the percentage of rainfall in October when compared to the total rainfall.

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.

Correct Answer: A

Rationale: The correct answer is A because in a fraction, the numerator is the number written on the top, representing the parts being considered, while the denominator is the number written on the bottom, representing the total number of equal parts the whole is divided into. Choices B, C, and D are incorrect because they do not align with the standard mathematical convention where the numerator is always placed above the denominator in a fraction representation. B, C, and D provide misleading and incorrect information regarding the position and role of the numerator and denominator in a fraction.