TEAS Math Practice Test

Correct Answer: C

Rationale: To find the number of red cans Jessica bought, let's denote the number of red cans as 'x' and the number of blue cans as '10 - x'. The total cost equation is: 1*x + 2*(10-x) = 16. Simplify to x + 20 - 2x = 16, which gives x = 4. Therefore, Jessica bought 4 red cans. Explanation for other choices: A: 2 red cans would result in a total cost of $18, not $16. B: 3 red cans would result in a total cost of $17, not $16. D: 5 red cans would result in a total cost of $15, not $16.

Correct Answer: D

Rationale: To find the fraction the fourth person pays, we need to calculate the sum of fractions paid by the first three people. 1/3 + 1/4 + 1/6 = 4/12 + 3/12 + 2/12 = 9/12. Therefore, the fourth person pays 1 - 9/12 = 3/12 or 1/4 of the bill. Choice D (1/12) is incorrect as it does not account for the fractions paid by the other three people. Choices A (1/4), B (1/6), and C (1/3) are incorrect as they represent the fractions paid by other individuals, not the fourth person.

Correct Answer: C

Rationale: To find the fraction of blue shirts, we need to subtract the fractions of green and red shirts from 1 (total). Given that 1/4 are green and 1/3 are red, the fraction of blue shirts is 1 - 1/4 - 1/3 = 12/12 - 3/12 - 4/12 = 5/12. Therefore, the correct answer is C: 5/12. Choice A (1/2) is incorrect as it doesn't consider the given fractions of green and red shirts. Choice B (1/3) is incorrect as it only considers the fraction of red shirts. Choice D (1/4) is incorrect as it only considers the fraction of green shirts.

Correct Answer: D

Rationale: To convert a decimal to a percentage, you multiply by 100. Therefore, 0.80 * 100 = 80%. So, the correct answer is D. Choice A (40%) is incorrect because 0.80 is not equal to 0.40. Choice B (125%) is incorrect as 0.80 is less than 1. Choice C (90%) is incorrect as 0.80 is not equal to 0.90.

Correct Answer: A

Rationale: To calculate relative error, we use the formula: (|Measured Value - Actual Value| / Actual Value) x 100%. In this case, the calculation is: (|36 - 35.75| / 35.75) x 100% = (0.25 / 35.75) x 100% ≈ 0.70%. Therefore, the correct answer is A (0.70%). Choice B (0.01%) is too small, choice C (0.99%) and choice D (0.10%) are too large compared to the calculated relative error of 0.70%.