TEAS Test Practice Math

Correct Answer: A

Rationale: To determine how much money he puts into his house savings account each month, we subtract the rent from his total monthly budget. Since he pays $270 for rent, subtracting this from his total monthly budget gives $270. Therefore, he puts $90 into his house savings account each month. Option A is correct. Option B is incorrect as it represents the total rent amount. Options C and D are significantly higher than the rent amount, making them incorrect.

Correct Answer: A

Rationale: Failed to generate a rationale after 5 retries.

Correct Answer: B

Rationale: To solve the equation, we first distribute the 3 to both terms inside the parentheses: 6y + 150 - 4y = 500. Combining like terms, we get 2y + 150 = 500. Next, we isolate the variable by subtracting 150 from both sides, giving us 2y = 350. Finally, we divide by 2 to solve for y, resulting in y = 175. Choice B is correct because it correctly follows the order of operations and simplifies the equation accurately. Choices A, C, and D are incorrect as they do not yield the correct value of y when substituted back into the original equation.

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.

Correct Answer: C

Rationale: To find the total percent deducted, you add the percentages taken for taxes and insurance. 35% + 4% = 39%. Therefore, the correct answer is C (39%). Choice A (20%) is too low, as it only considers the tax deduction. Choice B (31%) and Choice D (42%) are incorrect because they don't account for both deductions.