TEAS Practice Test Math

Correct Answer: C

Rationale: The correct answer is C: 1.2 hours. To find the combined time it takes for both A and B to mow the lawn together, we use the formula: 1/(1/A + 1/B). Substituting A=2 and B=3 into the formula, we get 1/(1/2 + 1/3) = 1/(5/6) = 6/5 = 1.2 hours. This is the time it would take for both A and B to mow the lawn together. Summary of other choices: A: 5 hours - Incorrect. This answer is obtained by simply adding the individual times of A and B, which is not the correct method for combining their work rates. B: 2.5 hours - Incorrect. This choice is halfway between the individual times of A and B, which is not the correct way to calculate the combined time. D: 1 hour - Incorrect. This choice is

Correct Answer: D

Rationale: To find the correct amount of vanilla in mL, first, multiply 5.5 (teaspoons) by 4.93 (mL per teaspoon) to get 27.115 mL. Then round to the nearest whole number, giving 27 mL. Therefore, choice D is correct. Choices A, B, and C are incorrect as they do not result from the correct conversion calculation.

Correct Answer: A

Rationale: To calculate the number of months, we first subtract the down payment from the total cost to get the remaining balance: $1570 - $400 = $1170. Then, we divide the remaining balance by the monthly payment to determine the number of months: $1170 / $100 = 11.7 months. Since we cannot have partial months in this case, we round up to the nearest whole number, giving us 12 months. Therefore, the correct answer is A (12 months). Choice B (16 months) is too high, Choices C (15 months) and D (11 months) are too low based on the calculations.

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.

Correct Answer: A

Rationale: The correct answer is A because rational numbers are those that can be expressed as a fraction of two integers, where the denominator is not zero. This includes integers, fractions, and decimals that terminate or repeat. Irrational numbers, on the other hand, cannot be expressed as a fraction and have non-repeating, non-terminating decimal representations. Choices B, C, and D are incorrect because they do not accurately define rational and irrational numbers. Choice B only partially describes rational numbers, excluding some fractions, and does not properly define irrational numbers. Choice C incorrectly categorizes all whole numbers as rational and all decimals as irrational. Choice D is also inaccurate because not all rational numbers are terminating decimals, and not all irrational numbers are repeating decimals.