ATI TEAS 7
TEAS Test Math Questions
1. How many gallons are in 1,000 fluid ounces?
- A. 7.8125 gallons
- B. 15.625 gallons
- C. 31.25 gallons
- D. 62.5 gallons
Correct answer: A
Rationale: To convert fluid ounces to gallons, you need to divide the number of fluid ounces by the number of fluid ounces in a gallon. Since there are 128 fluid ounces in a gallon, to find out how many gallons are in 1,000 fluid ounces, you divide 1,000 by 128. The correct calculation is 1,000 / 128 = 7.8125 gallons. Therefore, the correct answer is A. Choices B, C, and D are incorrect as they do not accurately represent the conversion from fluid ounces to gallons.
2. Which of the following equations does not represent a function?
- A. y = x^2
- B. y = sqrt(x)
- C. x = y^2
- D. y = 2x + 1
Correct answer: C
Rationale: An equation represents a function if each input (x-value) corresponds to exactly one output (y-value). In the equation x = y^2, for a single x-value, there are two possible y-values (positive and negative square root), violating the definition of a function. This violates the vertical line test, where a vertical line intersects the graph in more than one point for non-functions. Choices A, B, and D all pass the vertical line test and represent functions, making them incorrect answers.
3. Jonathan pays a $65 monthly flat rate for his cell phone. He is charged $0.12 per minute for each minute used in a roaming area. Which of the following expressions represents his monthly bill for x roaming minutes?
- A. 65 + 0.12x
- B. 65x + 0.12
- C. 65.12x
- D. 65 + 0.12x
Correct answer: A
Rationale: The correct expression for Jonathan's monthly bill is 65 + 0.12x, where x represents the number of roaming minutes. The $65 monthly flat rate is added to the product of $0.12 per minute and the number of roaming minutes (x). Choice B is incorrect because it incorrectly multiplies the flat rate by x and adds the per-minute charge. Choice C is incorrect as it combines the flat rate and the per-minute charge into a single value. Choice D is incorrect as it incorrectly multiplies the flat rate by x and adds the per-minute charge separately.
4. Which is bigger, a mile or a kilometer? What's the conversion factor?
- A. Mile is bigger; 1 mile is 1.609 km
- B. Kilometer is bigger; 1 km is 1.609 miles
- C. Mile is bigger; 1 mile is 1.5 km
- D. Kilometer is bigger; 1 km is 2 miles
Correct answer: A
Rationale: A mile is bigger than a kilometer. The correct conversion factor is 1 mile = 1.609 km. This means that one mile is equivalent to approximately 1.609 kilometers. Choice B is incorrect because a mile is bigger than a kilometer, and the conversion is not 1 km = 1.609 miles. Choice C is incorrect as the conversion factor provided is inaccurate; 1 mile is not equal to 1.5 km. Choice D is incorrect as it states that a kilometer is bigger, which is not true according to the actual conversion factor.
5. Which of the following percentages is equivalent to 5 ¼?
- A. 525%
- B. 514%
- C. 5.25%
- D. 5.14%
Correct answer: A
Rationale: To convert a mixed number to a decimal, 5 ¼ becomes 5.25. To convert this decimal to a percentage, you multiply it by 100. Therefore, 5.25 × 100 = 525%. Choice A is correct. Choice B (514%) is incorrect as it does not match the equivalent of 5 ¼. Choice C (5.25%) is the decimal equivalent of 5 ¼, not the percentage. Choice D (5.14%) is a different value and does not represent the percentage equivalent of 5 ¼.
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