TEAS Test Math Prep

Correct Answer: B

Rationale: To find the ratio of faculty to students, add the number of teachers and teaching assistants (15+20 = 35). Then, divide the total faculty by the number of students (35:200). Simplify the ratio to its simplest form, which is 4:17. This is the correct answer because it represents the relationship between the faculty and students accurately. Incorrect choices: A: 3:20 - Incorrect because it doesn't accurately represent the ratio of faculty to students. C: 3:02 - Incorrect because the ratio must be in terms of whole numbers. D: 7:40 - Incorrect as it doesn't reflect the actual ratio between faculty and students.

Correct Answer: C

Rationale: The correct answer is C (4). Sarah buys one red can of paint every month for four months. So, she buys 1 can each month, totaling 4 cans over 4 months. To find the total number of cans, we add 1 + 1 + 1 + 1 = 4. Therefore, Sarah bought 4 red cans in total. Choices A, B, and D are incorrect because they do not accurately reflect the total number of cans Sarah bought. Choice A (2) is incorrect because it only represents half of the cans she actually bought. Choice B (3) is incorrect because it does not account for the full four months. Choice D (5) is incorrect because it overestimates the number of cans purchased.

Correct Answer: A

Rationale: The correct answer is A: x - y/2. To calculate the student's score, we need to consider the points gained and lost. For each correct answer, the student gains 1 point. For each incorrect answer, the student loses half a point. Since there are no points gained or lost for questions left blank, the expression x - y/2 correctly represents the score. Option B (x - y) does not account for losing half a point for incorrect answers. Option C (30 - (x + y)) does not consider the points gained for correct answers. Option D (30 - x - y/2) inverts the order of subtraction, leading to an incorrect calculation of the score.

Correct Answer: A

Rationale: The correct answer is A: Positive. A line traveling from bottom-left to upper-right on a graph indicates a positive relationship between the predictor and dependent variable. As the predictor increases, the dependent variable also increases. This is because the slope of the line is positive, showing a direct relationship between the two variables. In contrast, a negative relationship (choice B) would be indicated by a line traveling from top-left to bottom-right, where the dependent variable decreases as the predictor increases. Choices C (Exponential) and D (Logarithmic) refer to specific nonlinear relationships, which are not indicated by a line with a positive slope.

Correct Answer: B

Rationale: To calculate average speed, you divide the total distance by the total time. In this case, 150 miles divided by 3 hours equals 50 mph. Therefore, choice B is correct. Choice A is incorrect as it is too low. Choice C and D are incorrect as they are too high.