TEAS Test Practice Math

Correct Answer: A

Rationale: To find the number of hours for which Courtney and Kendra's charges are equal, we need to set their equations equal to each other. For Courtney: Cost = $12 + $2x, where x is the number of hours. For Kendra: Cost = $10 + $5x. Setting the two equations equal: $12 + $2x = $10 + $5x. Solving for x gives x = 2. This means after 2 hours, both charges are equal. Option A is correct as it correctly represents the situation. Option B has the fee and hourly rates swapped for Courtney and Kendra. Option C has the hourly rates incorrectly applied to the fee. Option D has the fees and hourly rates swapped for Courtney and Kendra.

Correct Answer: A

Rationale: To simplify the given expression, combine like terms with the same variables. The expression 5x - 2y + 4x + y simplifies to 9x - y. Combine the x terms (5x + 4x = 9x) and the y terms (-2y + y = -y) to get 9x - y. This is the simplest form of the expression. The other choices are incorrect because they do not correctly combine the like terms or do not simplify the expression to its simplest form. Option B incorrectly subtracts 3y instead of y. Option C incorrectly adds 3y. Option D is not a simplified form of the expression as it lists x and y separately without combining like terms. So, the correct answer is A: 9x - y.

Correct Answer: C

Rationale: Failed to generate a rationale after 5 retries.

Correct Answer: C

Rationale: The correct answer is C: $36. The question states that each roommate contributes $12. Therefore, to find the total amount, we multiply $12 by the number of roommates (3 roommates x $12 = $36). This calculation gives us the estimated total amount of money the roommates used to purchase the gift. Choice A: $34 is incorrect because it does not account for all three roommates contributing $12 each. Choice B: $35 is incorrect as it also does not consider all three roommates contributing $12 each. Choice D: $37 is incorrect because it exceeds the total amount that can be obtained by multiplying $12 by 3.

Correct Answer: D

Rationale: To calculate the percentage difference, we need to find the percentage increase from City X to City Y. Let's assume City X has 100 staff members, with 40 females, making 40% female. In City Y, there are 120 staff members, with 60 females, making 50% female. The percentage difference is (50% - 40%) / 40% = 0.25 or 25%. Therefore, there are 25% more female staff in City Y compared to City X, which is equivalent to 20% of the female staff in City X. So, the correct answer is D (20%). Choice A (5%), B (10%), and C (15%) are incorrect as they do not accurately reflect the 20% increase in female staff members between the two cities.