Math Practice TEAS Test

Correct Answer: A

Rationale: The correct answer is A: 2.54 centimeters in an inch; 0.393 inches in a centimeter. The conversion factor between inches and centimeters is 2.54, derived from the definition of an inch. To convert inches to centimeters, you multiply by 2.54. Conversely, to convert centimeters to inches, you divide by 2.54. The other choices are incorrect because they do not reflect the accurate conversion factor between inches and centimeters. B and C have incorrect conversion ratios, while D has an incorrect relationship between inches and centimeters.

Correct Answer: B

Rationale: To calculate the number of tanks needed, divide total miles by miles per gallon: 1,800 miles / 30 mpg = 60 gallons. Then, divide total gallons by tank capacity: 60 gallons / 12 gallons = 5 tanks. Therefore, Robert will need 5 tanks of gas for the trip. Summary: - Choice A (4 tanks) is incorrect because the correct calculation shows 5 tanks are needed. - Choice C (6 tanks) is incorrect as it overestimates the number of tanks required. - Choice D (7 tanks) is incorrect as it also overestimates the number of tanks needed based on the given information.

Correct Answer: A

Rationale: The correct answer is A: Mile is bigger; 1 mile is 1.609 km. This is because a mile is a longer unit of measurement compared to a kilometer. The conversion factor is 1 mile equals 1.609 kilometers. To convert miles to kilometers, you multiply the number of miles by 1.609. The other choices are incorrect because: B: Kilometer is bigger; 1 km is 1.609 miles - This is incorrect as a kilometer is shorter than a mile. C: Mile is bigger; 1 mile is 1.5 km - This is incorrect as 1 mile is actually equal to about 1.609 kilometers. D: Kilometer is bigger; 1 km is 2 miles - This is incorrect as a kilometer is shorter than 2 miles.

Correct Answer: A

Rationale: The correct answer is A: x + 4 = 5/6y - 2. To break it down step-by-step: 1. "Four more than a number" translates to x + 4. 2. "2 less than 5/6 of another number" translates to 5/6y - 2. 3. Combining the two expressions gives x + 4 = 5/6y - 2, which represents the given relationship accurately. In summary, choice A is correct because it correctly captures the relationship described in the question. Choices B, C, and D are incorrect because they do not accurately represent the relationship between the two numbers given in the question.

Correct Answer: A

Rationale: The correct answer is A: 2.54 centimeters in an inch; 0.393 inches in a centimeter. The conversion factor between inches and centimeters is 2.54, derived from the definition of an inch. To convert inches to centimeters, you multiply by 2.54. Conversely, to convert centimeters to inches, you divide by 2.54. The other choices are incorrect because they do not reflect the accurate conversion factor between inches and centimeters. B and C have incorrect conversion ratios, while D has an incorrect relationship between inches and centimeters.