TEAS Test Math Prep

Correct Answer: B

Rationale: To find the weight difference in kilograms, we subtract Alan's goal weight (175 lbs) from his current weight (200 lbs): 200 lbs - 175 lbs = 25 lbs Next, we convert pounds to kilograms using the conversion factor 0.45 kg per 1 lb: 25 lbs x 0.45 kg/lb = 11.25 kg Therefore, the correct answer is B (11.25 kg). Other choices are incorrect because they do not properly calculate the weight difference in kilograms based on the given conversion factor.

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: B

Rationale: To round 2678 to the nearest thousandth, we look at the digit in the thousandth place, which is 6. Since the next digit is 7, we round 6 up to 7. The thousandth place is used to decide whether to round up or down in this case. Choices A, C, and D are incorrect as they refer to other place values that are not relevant when rounding to the nearest thousandth.

Correct Answer: B

Rationale: To calculate the percentage increase, we subtract the original value from the new value (60 - 40 = 20), then divide this difference by the original value (20 / 40 = 0.5). Finally, multiply this result by 100 to get the percentage increase, which is 50%. Choice B is correct as it accurately represents the percentage increase from 40 to 60. Choices A, C, and D are incorrect because they do not provide the correct percentage increase calculation based on the given values.

Correct Answer: C

Rationale: To solve for b, we need to isolate b on one side. First, combine like terms: 5b - 2b = 17 + 4. This simplifies to 3b = 21. Then, divide both sides by 3 to find b = 7. Choice C is correct. Choices A, B, and D are incorrect as they do not match the correct calculation result.