TEAS Test Practice Math

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: C

Rationale: To calculate the percent decrease in snowfall: 1. Find the difference in snowfall between the two winters: 6 - 3 = 3 inches. 2. Divide the difference by the initial amount: 3 / 6 = 0.5. 3. Multiply the result by 100 to get the percentage decrease: 0.5 * 100 = 50%. Therefore, the correct answer is C (41.00%) as it is the closest rounded percentage to the calculated 50% decrease. Other choices are incorrect as they do not align with the calculated decrease percentage.

Correct Answer: C

Rationale: To find the percentage of Dr. Lee's patients hospitalized after taking the antibiotic, we multiply the percentage of patients who developed an infection (30%) by the percentage of those hospitalized (5% of 30%): 30% * 5% = 1.5%. Therefore, 1.5% of all patients were hospitalized. The correct answer is C (15%). Summary: A (1.50%): This is incorrect because it miscalculates the percentage of patients hospitalized. B (5%): This is incorrect as it represents the percentage of patients that developed an infection and not those hospitalized. D (30%): This is incorrect as it represents the total percentage of patients developing an infection, not those hospitalized.

Correct Answer: B

Rationale: To calculate 80% of 30 questions, multiply 30 by 0.80, which equals 24. Joshua needs to answer at least 24 questions correctly to meet the 80% threshold for the scholarship. Therefore, the correct answer is B. Choice A (23) is incorrect because it falls short of 80% of 30 questions. Choices C (26) and D (27) exceed the minimum requirement, making them unnecessary.

Correct Answer: C

Rationale: To find the cars with both a man and a woman, we can use the formula: Total = Man + Woman - Both + Neither. Given Man = 20, Woman = 13, Total = 25, and Neither = 0 (since each car has at least one person), we can plug in the values: 25 = 20 + 13 - Both + 0. Solving for Both, we get Both = 8. Therefore, the correct answer is C (8 cars with both a man and a woman). Summary: A: Incorrect. There are more cars with a man. B: Incorrect. This number is too high considering the given information. D: Incorrect. This is the total number of cars, not the number with both a man and a woman.