TEAS Math Questions

Correct Answer: A

Rationale: To find the percentage of the total staff that is certified and available to work in the neonatal unit during the holiday, we need to multiply the percentages of staff available and certified. First, calculate the percentage of staff available: 100% - 35% (staff on vacation) = 65% available. Then, calculate the percentage of staff certified among those available: 65% (staff available) * 20% (certified) = 13%. Therefore, the correct answer is B: 0.13, representing 13% of the total staff that is certified and available to work in the neonatal unit during the holiday. The other choices are incorrect because they do not accurately represent the calculated percentage.

Correct Answer: A

Rationale: Step 1: Given that y is three times x, the equation should reflect this relationship. Step 2: The equation y = 3x correctly models this relationship, where y is equal to three times x. Step 3: Option A (y = 3x) is the correct choice as it directly represents y as three times x. Summary: Choices B, C, and D do not correctly model the relationship between x and y as specified. Choice B (x = 3y) is the inverse relationship, Choice C (y = x + 3) adds 3 to x instead of representing y as three times x, and Choice D (y = x / 3) represents y as x divided by 3, not three times x.

Correct Answer: C

Rationale: The correct order is C: Group Gamma, Group Alpha, Group Beta. Step-by-step rationale: First, calculate the fraction of patients in each group: 1/2 for Alpha, 1/3 for Beta, and 1/6 for Gamma. Next, convert the fractions to a common denominator: 6. This gives 3 patients in Alpha, 2 in Beta, and 1 in Gamma. Therefore, the correct order is Group Gamma (1 patient) < Group Alpha (3 patients) < Group Beta (2 patients). Other choices are incorrect because they do not follow the correct order based on the fraction of patients assigned to each group.

Correct Answer: B

Rationale: Step-by-step rationale: 1. Start with the original price: $100 2. Calculate the discount amount: 15% of $100 = $15 3. Subtract the discount from the original price: $100 - $15 = $85 4. Therefore, the price after the 15% discount is $85. Summary of incorrect choices: A. $90: Incorrect, as this is the original price minus a 10% discount. C. $80: Incorrect, as this is the original price minus a 20% discount. D. $75: Incorrect, as this is not the correct calculation for a 15% discount.

Correct Answer: A

Rationale: The correct answer is A: 1,050 people. To calculate the population next year, we need to add the 5% increase to the current population. 5% of 1,000 is 50, so the population will increase by 50 people. Therefore, the population next year will be 1,000 + 50 = 1,050 people. Choice B (1,200 people) is incorrect because it assumes a 20% increase instead of 5%. Choice C (1,100 people) is incorrect because it does not consider the 5% increase. Choice D (1,300 people) is incorrect as it implies a 30% increase, which is not accurate based on the given 5% annual increase.