ATI TEAS 7
Math Practice TEAS Test
1. In Mrs. McConnell's classroom, there are 14 students with brown eyes and 2 students with green eyes. What is the ratio of students with brown eyes to students with green eyes?
- A. 7:1
- B. 7:2
- C. 14:2
- D. 14:1
Correct answer: A
Rationale: The correct answer is A: 7:1. To find the ratio, divide the number of students with brown eyes (14) by the number of students with green eyes (2), which equals 7. Therefore, the ratio of students with brown eyes to students with green eyes is 7:1. Choice B (7:2) is incorrect as it does not accurately represent the ratio of students with brown eyes to green eyes. Choice C (14:2) is incorrect because the ratio should be simplified, and 14:2 simplifies to 7:1. Choice D (14:1) is incorrect as it does not consider the number of students with green eyes.
2. If 3/4 of students at a university major in nursing and 1/3 of those students complete the program, how many will complete the program if 100 students are in the incoming class?
- A. 75
- B. 20
- C. 15
- D. 5
Correct answer: C
Rationale: Out of the 100 students, 3/4 (75 students) major in nursing. Since 1/3 of those students complete the program, 1/3 * 75 = 25 students will complete the program. Therefore, 25 students out of the 100 incoming class will complete the program, making choice C (15) the correct answer. Choices A, B, and D are incorrect as they do not reflect the correct calculation based on the given information.
3. If 1 inch on a map represents 60 ft, how many yards apart are two points if the distance between the points on the map is 10 inches?
- A. 1800
- B. 600
- C. 200
- D. 2
Correct answer: B
Rationale: If 1 inch on the map represents 60 ft, then for 10 inches on the map, the actual distance would be 10 inches x 60 ft = 600 ft. To convert this to yards, we know that 1 yard equals 3 feet. Therefore, the distance between the two points is 600 ft / 3 ft/yard = 200 yards. Choice A (1800) is incorrect because it incorrectly multiplies by 10 again instead of converting to yards. Choice C (200) is incorrect because it fails to adjust the measurement from feet to yards. Choice D (2) is incorrect as it does not consider the correct conversion factor from feet to yards.
4. To rent tablecloths from a rental vendor, there is an initial charge of $40. There is an additional charge of $5 per circular tablecloth (c) and $3.50 per rectangular tablecloth (r). Which of the following represents the total cost (T) to rent tablecloths?
- A. 5r + 3.5c - 40 = T
- B. 5c + 3.5r + 40 = T
- C. 5c + 3.5r - 40 = T
- D. 5r + 3.5c + 40 = T
Correct answer: B
Rationale: The total cost (T) consists of the initial charge of $40 plus the additional charges based on the number of tablecloths. The correct expression for T is T = 5c + 3.5r + 40. This accounts for the $5 per circular tablecloth (5c), $3.50 per rectangular tablecloth (3.5r), and the initial $40 charge. Choice A is incorrect as it subtracts the initial charge instead of adding it. Choice C is also incorrect as it subtracts the initial charge and has the coefficients in the wrong positions. Choice D adds the initial charge at the end instead of at the beginning, making it incorrect. Therefore, choice B is the correct representation of the total cost to rent tablecloths.
5. What is the product of 2/3 and 3/4?
- A. 1
- B. 2
- C. 3
- D. 4
Correct answer: A
Rationale: To multiply fractions, you multiply the numerators to get the new numerator and multiply the denominators to get the new denominator. Therefore, multiplying 2/3 by 3/4 results in (2*3) / (3*4) = 6/12. Simplifying 6/12 by dividing both the numerator and denominator by 6 gives 1. Hence, the correct answer is 1. Choices B, C, and D are incorrect as they do not represent the correct product of multiplying 2/3 by 3/4.
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