ATI TEAS 7
TEAS Math Questions
1. Complete the following equation: x + x * x - x / x = ?
- A. 5
- B. 3
- C. 2
- D. 1
Correct answer: B
Rationale: To solve the equation x + x * x - x / x, follow the order of operations (PEMDAS/BODMAS). First, perform the multiplication: x * x = x^2. Then, perform the division: x / x = 1. Substituting these back into the equation gives x + x^2 - 1. Therefore, the equation simplifies to x + x^2 - 1. By evaluating this further, the final result is 3. Choices A, C, and D are incorrect because they do not correctly apply the order of operations to solve the equation.
2. A new physician saw 841 clients during the first year of practice and 1072 clients during the second year of practice. Which of the following represents the approximate percentage increase in client volume?
- A. 22%
- B. 27%
- C. 127%
- D. 78%
Correct answer: B
Rationale: To calculate the percentage increase, subtract the initial value from the final value, then divide by the initial value and multiply by 100. In this case, the calculation is ((1072 - 841) / 841) x 100 ≈ 27%. Therefore, the correct answer is B. Choice A (22%) is incorrect as it does not match the calculated percentage increase. Choice C (127%) is incorrect as it represents an absolute increase, not a percentage increase. Choice D (78%) is incorrect as it is not close to the calculated percentage increase of 27%.
3. What is the average length of a human eyelash?
- A. 1 nanometer
- B. 1 centimeter
- C. 1 meter
- D. 1 kilometer
Correct answer: B
Rationale: The average length of a human eyelash is approximately one centimeter. A nanometer is too small to describe the length of an eyelash. A meter and a kilometer are much longer lengths and not suitable to describe the average human eyelash.
4. A lab technician took 500 milliliters of blood from a patient. The technician used 1/6 of the blood for further tests. How many milliliters of blood were used for further tests? Round your answer to the nearest hundredth.
- A. 83
- B. 83.3
- C. 83.33
- D. 83.34
Correct answer: C
Rationale: To find 1/6 of 500, multiply 500 by 1/6: (500)(1/6) = 500/6 = 83.33. Converting the fraction to a decimal gives 83.33. Rounding this to the nearest hundredth results in 83.33. Therefore, 83.33 milliliters of blood were used for further tests. Choice A is incorrect as it does not consider the decimal value of the fraction. Choice B is incorrect as it rounds to the tenths place, not the nearest hundredth. Choice D is incorrect as it rounds up unnecessarily, as the correct answer should be rounded to 83.33.
5. Which of the following lists is in order from least to greatest? 2−1 , −(4/3), (−1)3 , (2/5)
- A. 2−1 , −(4/3), (−1)3 , (2/5)
- B. −(4/3), (−1)3 , 2−1 , (2/5)
- C. −(4/3), (2/5), 2−1 , (−1)3
- D. −(4/3), (−1)3 , (2/5), 2−1
Correct answer: D
Rationale: To determine the correct order from least to greatest, start by simplifying the expressions. 2^(-1) = 1/2 and (-1)^3 = -1. Now, comparing the values, (-4/3) is the most negative, followed by -1, then (2/5), and finally 1/2. Therefore, the correct order is (-4/3), (-1)^3, (2/5), 2^(-1), making choice D the correct answer. Choices A, B, and C are incorrect because they do not follow the correct order from least to greatest as determined by comparing the values of the expressions after simplification.
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