ATI TEAS 7
TEAS Test Practice Math Questions
Question 1 of 5
Which of the following describes a real-world situation that could be modeled by?
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.
Question 2 of 5
Prizes are to be awarded to the best pupils in each class of an elementary school. The number of students in each grade is shown in the table, and the school principal wants the number of prizes awarded in each grade to be proportional to the number of students. If there are twenty prizes, how many should go to fifth-grade students? Grade 1 2 3 4 5 Students 35 38 38 33 36
Correct Answer: C
Rationale: To determine the number of prizes for fifth-grade students, we need to allocate the prizes proportionally based on the number of students in each grade. 1. Calculate the total number of students in the school: 35 (Grade 1) + 38 (Grade 2) + 38 (Grade 3) + 33 (Grade 4) + 36 (Grade 5) = 180 students. 2. Calculate the proportion of students in fifth grade: 36 (Grade 5 students) / 180 (total students) = 0.2 or 20%. 3. Apply this proportion to the total number of prizes (20 prizes): 20 (total prizes) * 0.2 = 4 prizes for fifth-grade students. Therefore, the correct answer is B: 4 prizes for fifth-grade students. Other choices are incorrect because they do not accurately reflect the proportional allocation based on the number of students in each grade.
Question 3 of 5
Veronica paid an additional $3,015 for a surround sound system and $5,218 for a maintenance package. What was the total price of her new car?
Correct Answer: B
Rationale: Veronica's total expenses for the surround sound system and maintenance package are $3,015 + $5,218 = $8,233. To find the total price of her new car, we need to add this amount to the original price of the car. Since the correct answer is $48,443, the calculation would be $48,443 (total price) - $8,233 (additional expenses) = $40,210 (original price of the car). Therefore, option B is correct. Option A is higher because it doesn't subtract the additional expenses. Option C and D are lower because they don't account for the additional expenses at all.
Question 4 of 5
Dr. Lee observed that 30% of all his patients developed an infection after taking a certain antibiotic. He further noticed that 5% of those 30% required hospitalization to recover from the infection. What percentage of Dr. Lee's patients were hospitalized after taking the antibiotic?
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.
Question 5 of 5
What is the volume of a ball with a diameter of 7 inches?
Correct Answer: A
Rationale: Failed to generate a rationale after 5 retries.
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