TEAS Practice Test Math

Correct Answer: B

Rationale: To find the number of students in the respiratory care program, we need to calculate the percentage of students in that program based on the pie chart. The respiratory care program occupies 19% of the pie chart. 19% of 800 students is 0.19 * 800 = 152. Therefore, the correct answer is B: 152. Choice A (336) is incorrect as it represents the percentage of students in a different program, not respiratory care. Choice C (144) and Choice D (168) are also incorrect as they do not correspond to the percentage allocated for the respiratory care program in the pie chart.

Correct Answer: C

Rationale: Step-by-step rationale: 1. Jacob spends 87% of $100 = $87, leaving her with $13. 2. She invests $13 and earns a profit of 75%. 3. 75% of $13 = $9.75 profit. 4. Adding the profit to the remaining amount: $13 + $9.75 = $22.75. Therefore, Jacob now has $22.75. Summary of other choices: A: $13.00 - Incorrect, as this is the remaining amount before the investment. B: $87.00 - Incorrect, this is the amount Jacob initially spent. D: $9.75 - Incorrect, this is the profit earned from the investment, not the total amount Jacob now has.

Correct Answer: A

Rationale: The correct answer is A because the greatest common factor is the largest factor that divides all the given numbers without a remainder. This factor is common to all numbers and is the greatest among all the common factors. Choice B is incorrect because the smallest factor does not account for all numbers. Choice C is incorrect as the greatest common factor is not a multiple, but a factor. Choice D is incorrect since the smallest multiple does not necessarily divide all the numbers without a remainder.

Correct Answer: B

Rationale: To find the average time per mile, we calculate the total time taken for both segments (25 minutes for 5 miles + 15 minutes for 3 miles = 40 minutes for 8 miles). Then, we divide the total time by the total distance (40 minutes ÷ 8 miles = 5 minutes per mile). Therefore, the correct answer is B. Choice A (7 minutes) is incorrect because it does not align with the calculated average time per mile of 5 minutes. Choice C (6.5 minutes) is incorrect as it is not the accurate average based on the given data. Choice D (8.5 minutes) is incorrect as it also does not match the calculated average time per mile of 5 minutes.

Correct Answer: C

Rationale: The correct answer is C: As elevation increases, temperature decreases. This is because of the negative correlation between elevation and temperature. As elevation increases (going higher above sea level), the temperature tends to decrease due to various factors like lower air pressure and thinner atmosphere. This relationship is observed in mountains where higher elevations have colder temperatures. Explanation of incorrect choices: A: As elevation decreases, temperature remains the same - Incorrect because the relationship is negative correlation, not no correlation. B: As elevation decreases, temperature decreases - Incorrect because the negative correlation implies that as elevation decreases, temperature would increase. D: As elevation increases, temperature increases - Incorrect because the negative correlation indicates that as elevation increases, temperature decreases.