ATI TEAS 7
TEAS Test Sample Math Questions
1. What is the result of adding 1/6 and 1/2, expressed in reduced form?
- A. 9/7
- B. 1/3
- C. 31/36
- D. 3/5
Correct answer: B
Rationale: To add 1/6 and 1/2, you need a common denominator, which is 6. So, 1/6 + 3/6 = 4/6. Simplifying 4/6 gives 2/3, which is the correct answer (1/3). Choices A, C, and D are incorrect as they do not represent the correct sum of the fractions 1/6 and 1/2.
2. 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?
- A. $50,210
- B. $48,443
- C. $43,225
- D. $40,210
Correct answer: B
Rationale: To calculate the total price of Veronica's new car, you must sum the original price of the car with the additional costs. Veronica paid $3,015 for the surround sound system and $5,218 for the maintenance package, totaling $3,015 + $5,218 = $8,233 in additional costs. Adding this to the original price of the car, $40,210, gives $40,210 + $8,233 = $48,443. Therefore, the total price of Veronica's new car is $48,443. Choice A, $50,210, is incorrect as it does not factor in the correct additional costs. Choice C, $43,225, is incorrect because it does not include the additional costs. Choice D, $40,210, is incorrect as it only represents the original price of the car without the added expenses.
3. Given the histograms shown below, which of the following statements is true?
- A. Group A is negatively skewed and has a mean less than Group B.
- B. Group A is positively skewed and has a mean greater than Group B.
- C. Group B is negatively skewed and has a mean greater than Group A.
- D. Group B is positively skewed and has a mean less than Group A.
Correct answer: C
Rationale: The correct answer is C. Group B is negatively skewed, indicating more high scores, leading to a higher mean for Group B when compared to Group A. Choice A is incorrect because Group A is not negatively skewed and doesn't have a mean less than Group B. Choice B is incorrect as Group A is not positively skewed and its mean is not greater than Group B. Choice D is also incorrect because Group B having a mean less than Group A contradicts the fact that Group B has a higher mean due to being negatively skewed.
4. What defines a proper fraction versus an improper fraction?
- A. Proper: numerator < denominator; Improper: numerator > denominator
- B. Proper: numerator > denominator; Improper: numerator < denominator
- C. Proper: numerator = denominator; Improper: numerator < denominator
- D. Proper: numerator < denominator; Improper: numerator = denominator
Correct answer: A
Rationale: A proper fraction is characterized by having a numerator smaller than the denominator, while an improper fraction has a numerator larger than the denominator. Therefore, choice A is correct. Choice B is incorrect because it states the opposite relationship between the numerator and denominator for proper and improper fractions. Choice C is incorrect as it describes a fraction where the numerator is equal to the denominator, which is a different concept. Choice D is incorrect as it associates a numerator being smaller than the denominator with an improper fraction, which is inaccurate.
5. Tom needs to buy ink cartridges and printer paper. Each ink cartridge costs $30. Each ream of paper costs $5. He has $100 to spend. Which of the following inequalities may be used to find the combinations of ink cartridges and printer paper he may purchase?
- A. 30c + 5p ≤ 100
- B. 30c + 5p = 100
- C. 30c + 5p > 100
- D. 30c + 5p < 100
Correct answer: A
Rationale: The correct inequality is 30c + 5p ≤ 100. This represents the combinations of ink cartridges (c) and printer paper (p) that Tom may purchase, ensuring the total cost is less than or equal to $100. Choice B is incorrect because the total cost should be less than or equal to $100, not equal to. Choices C and D are also incorrect as they indicate the total cost being greater than $100, which is not the case given Tom's budget limit.
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