Simplify the following expression: 3 (1/6) - 1 (5/6)

Questions 39

ATI TEAS 7

ATI TEAS 7 Test Bank

ATI TEAS Math Practice Test Questions

Question 1 of 5

Simplify the following expression: 3 (1/6) - 1 (5/6)

Correct Answer: B

Rationale: In this problem, the correct answer is B) 1 (1/3). To simplify the expression, we first need to multiply the whole number by the fraction in each term. For the first term, 3 * (1/6) = 3/6 = 1/2 For the second term, 1 * (5/6) = 5/6 Now, subtract the results: 1/2 - 5/6 To subtract these fractions, we need a common denominator, which is 6. 1/2 = 3/6 3/6 - 5/6 = -2/6 = -1/3 Therefore, the simplified expression is 1 (1/3), which is option B. Option A) 2 (1/3) is incorrect because the subtraction was not done correctly. Option C) 2 (1/9) is incorrect because it does not match the simplified expression. Option D) 5/6 is incorrect as it does not account for the whole number in the simplification. Understanding how to multiply fractions by whole numbers and subtract fractions with common denominators is essential in math. This question assesses these skills as well as the ability to simplify expressions involving fractions and whole numbers.

Question 2 of 5

Arrange the following numbers from least to greatest: 7/3, 9/2, 10/9, 7/8

Correct Answer: D

Rationale: To arrange the numbers from least to greatest, first convert them to decimals: 1. 7/3 is approximately 2.33 2. 9/2 equals 4.5 3. 10/9 is approximately 1.11 4. 7/8 equals 0.875 Now, arrange the decimals from least to greatest: 0.875 (7/8), 1.11 (10/9), 2.33 (7/3), 4.5 (9/2). Therefore, the correct order is 7/8, 10/9, 7/3, 9/2. Choice A is incorrect because it doesn't follow the correct order. Choice B is incorrect as it places 9/2 before 7/3, which is not the right arrangement. Choice C is incorrect as it places 7/3 before 9/2 and 10/9, which is incorrect. Thus, the correct answer is choice D.

Question 3 of 5

The cost of renting a bicycle is $3.60 per hour. Which equation shows the best relationship between the total cost (C) and the number of hours (h) rented?

Correct Answer: A

Rationale: The best relationship is C = 3.60h because the cost increases by $3.60 for each hour of rental. This equation represents a linear relationship where the total cost (C) is directly proportional to the number of hours rented (h). Choice B (C = h + 3.60) is incorrect because it wrongly assumes a fixed additional cost of $3.60 regardless of the number of hours rented. Choice C (C = 3.60h + 10.80) is incorrect as it overestimates the initial cost. Choice D (C = 10.80h) is incorrect as it implies a constant rate of $10.80 per hour, which is not the case.

Question 4 of 5

Veronica has to create the holiday schedule for the neonatal unit at her hospital. 35% of her staff will be unavailable during the holidays, and of the remaining staff, only 20% are certified to work in the neonatal unit. What percentage of the total staff is certified and available to work?

Correct Answer: B

Rationale: The correct answer is 13%. To find the percentage of the total staff that is certified and available to work, we first calculate the percentage of staff available, which is 100% - 35% = 65%. Then, we find the percentage of the available staff that is certified, which is 20% of 65% = 0.20 0.65 = 0.13, or 13%.

Question 5 of 5

University Q has an extremely competitive nursing program. Historically, 3/4 of the students in each incoming class major in nursing, but only 1/5 of those who major in nursing complete the program. If this year's incoming class has 100 students, how many will complete the nursing program?

Correct Answer: C

Rationale: Out of the 100 students, 3/4 major in nursing, which equals 75 students. However, only 1/5 of these 75 students will complete the program. Calculating 1/5 of 75 gives us 15 students who will complete the nursing program. Therefore, the correct answer is 15. Choice A (75) is incorrect as it represents the total number of students majoring in nursing, not completing the program. Choices B (20) and D (5) are incorrect calculations and do not align with the information provided in the question.

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