ATI TEAS 7
TEAS Practice Math Test
1. The table below shows the number of books checked out from a library over the course of 4 weeks. Which equation describes the relationship between the number of books (b) and weeks (w)?
- A. b = 10w + 2
- B. b = 5w + 10
- C. b = 8w + 12
- D. b = 4w + 20
Correct answer: B
Rationale: The relationship between the number of books and weeks is best described by the equation b = 5w + 10. This is because the initial value of books checked out is 10, which indicates that even with 0 weeks, there are already 10 books checked out. The rate at which books are checked out per week is 5, as indicated by the coefficient of w. Therefore, the correct equation should be b = 5w + 10. Choices A, C, and D are incorrect because they do not represent the correct initial value or rate of increase for the given scenario.
2. How many feet are in a mile?
- A. 1,000 ft
- B. 5,280 ft
- C. 2,000 ft
- D. 10,000 ft
Correct answer: B
Rationale: The correct answer is B: 5,280 feet in a mile. This is a standard conversion used in the Imperial system of measurement. Choice A, 1,000 ft, is incorrect as it is a common misconception and not the accurate conversion. Choice C, 2,000 ft, is also incorrect. Choice D, 10,000 ft, is significantly higher than the actual conversion and is incorrect. Remember, when converting miles to feet, the accurate value is 5,280 feet in a mile.
3. Complete the following equation: 5 + 3 × 4 - 6 / 2 = ?
- A. 5
- B. 9
- C. 11
- D. 7
Correct answer: B
Rationale: To solve this equation, follow the order of operations (PEMDAS/BODMAS): First, perform multiplication and division from left to right. 3 × 4 equals 12, and 6 / 2 equals 3. Then, carry out addition and subtraction from left to right. 5 + 12 - 3 equals 14, not 9. Therefore, the correct answer is 14, making choice B the correct answer. Choices A, C, and D can be eliminated as they do not match the correct result obtained by following the order of operations.
4. Calculate the sum of the numbers from 1 to 6:
- A. 30
- B. 21
- C. 15
- D. 13
Correct answer: B
Rationale: To find the sum of numbers from 1 to 6, we add them together: 1 + 2 + 3 + 4 + 5 + 6 = 21. Therefore, the correct answer is 21. Choice A (30) is incorrect because it is not the sum of the numbers 1 to 6. Choice C (15) is incorrect as it is the sum of numbers 1 to 5. Choice D (13) is incorrect as it is the sum of numbers 1 to 4, not 1 to 6.
5. A school has 15 teachers and 20 teaching assistants. They have 200 students. What is the ratio of faculty to students?
- A. 3:20
- B. 4:17
- C. 3:02
- D. 7:40
Correct answer: B
Rationale: The total number of faculty members is 15 teachers + 20 teaching assistants = 35. The ratio of faculty to students is then 35:200, which simplifies to 7:40. Further simplifying by dividing both numbers by 5 gives the ratio 4:20, which can be simplified to 4:17. Therefore, the correct ratio is 4:17. Choices A, C, and D are incorrect ratios and do not match the calculated ratio of faculty members to students in this scenario.
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