Math Practice TEAS Test

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: B

Rationale: To calculate a 30% decrease, you multiply the current dosage (340 mg) by 0.30 to find the decrease amount: 340 mg x 0.30 = 102 mg. Subtract the decrease from the current dosage to get the new dosage: 340 mg - 102 mg = 238 mg (Option B). Option A (70 mg) is incorrect as it represents a 79% decrease. Option C (270 mg) is incorrect as it does not account for the 30% decrease. Option D (340 mg) is incorrect as it does not reflect the required decrease.

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: 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: 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.