TEAS Practice Test Math

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.

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.

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: C

Rationale: To find the amount the friend paid for their car, we need to set up an equation. Let x be the friend's car price. The consumer paid $48,000, which is $2,000 less than twice the friend's car price, so 2x - $2,000 = $48,000. Solving for x, 2x = $48,000 + $2,000 = $50,000, therefore x = $25,000. Choice C is correct. Choices A, B, and D do not satisfy the given condition in the question. A is less than $25,000, B is greater than $25,000 but not $2,000 less than twice, and D is greater than $25,000.