ATI TEAS 7
TEAS Test Sample Math Questions
1. How should 0.80 be written as a percent?
- A. 40%
- B. 125%
- C. 90%
- D. 80%
Correct answer: D
Rationale: To convert a decimal to a percent, move the decimal point two places to the right. Therefore, 0.80 written as a percent is 80%. Choice A is incorrect as it represents 40%. Choice B is incorrect as it represents 125%. Choice C is incorrect as it represents 90%.
2. How do you convert pounds to kg and kg to pounds?
- A. Multiply by 2.2 for pounds; divide by 2.2 for kg
- B. Multiply by 2 for pounds; divide by 2 for kg
- C. Multiply by 1.8 for pounds; divide by 1.8 for kg
- D. Multiply by 1.5 for pounds; divide by 1.5 for kg
Correct answer: A
Rationale: To convert pounds to kg, you need to divide by 2.2, not multiply. Similarly, to convert kg to pounds, you should multiply by 2.2. Therefore, choice A is correct. Choices B, C, and D are incorrect because they provide incorrect conversion factors for pounds and kg, leading to inaccurate results.
3. Simplify (x^2 - y^2) / (x - y)
- A. x + y
- B. x - y
- C. 1
- D. (x + y)/(x - y)
Correct answer: A
Rationale: The expression ๐ฅ^2 - ๐ฆ^2 is a difference of squares, which follows the identity: ๐ฅ^2 - ๐ฆ^2 = (๐ฅ + ๐ฆ)(๐ฅ - ๐ฆ). Therefore, the given expression becomes: (๐ฅ^2 - ๐ฆ^2) / (๐ฅ - ๐ฆ) = (๐ฅ + ๐ฆ)(๐ฅ - ๐ฆ) / (๐ฅ - ๐ฆ). Since (๐ฅ - ๐ฆ) appears in both the numerator and the denominator, they cancel each other out, leaving ๐ฅ + ๐ฆ. Thus, the simplified form of (๐ฅ^2 - ๐ฆ^2) / (๐ฅ - ๐ฆ) is ๐ฅ + ๐ฆ. Therefore, the correct answer is A (x + y). Option B (x - y) is incorrect as it does not result from simplifying the given expression. Option C (1) is incorrect as it does not account for the variables x and y present in the expression. Option D ((x + y)/(x - y)) is incorrect as it presents the simplified form in a different format than the correct answer.
4. 67 miles is equivalent to how many kilometers to three significant digits?
- A. 107 km
- B. 106 km
- C. 33 km
- D. 85 km
Correct answer: A
Rationale: To convert miles to kilometers, the conversion factor is 1 mile โ 1.609 kilometers. Therefore, to convert 67 miles to kilometers, you would multiply: 67 miles ร 1.609 km/mile = 107.703 km. When rounded to three significant digits, this gives 108 km. Therefore, 67 miles is approximately 108 kilometers. Choice A is correct because it is the closest rounded value to three significant digits. Choices B, C, and D are incorrect as they do not match the calculated conversion of 108 km.
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?
- A. 7%
- B. 13%
- C. 65%
- D. 80%
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 ร 0.65 = 0.13, or 13%.
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