TEAS Practice Test Math

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: 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: To determine the amount of yogurt, we first find the total parts in the ratio (4+3=7 parts). Since toppings are 3 parts, we divide 4.5 oz by 3 to find 1 part equals 1.5 oz. Then, multiply 1.5 oz by 4 (yogurt parts) to get 6 oz of yogurt. Choice A is correct because it correctly calculates the amount of yogurt based on the given ratio. Choices B, C, and D are incorrect as they do not follow the correct calculation based on the ratio provided.

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.

Correct Answer: A

Rationale: To find the least common denominator (LCD), we need to find the least common multiple (LCM) of the denominators. The denominators are 2, 3, and 5. The LCM of 2, 3, and 5 is 30, which is the smallest number that all three denominators divide into evenly. Therefore, the correct answer is A: 30. Choice B: 25 is not the correct answer because it is not divisible by 2, 3, and 5. Choice C: 7 is not the correct answer because it is not divisible by 2, 3, and 5. Choice D: 19 is not the correct answer because it is not divisible by 2, 3, and 5.