ATI TEAS 7
Practice Math TEAS TEST
1. How do you convert Fahrenheit to Celsius and Celsius to Fahrenheit?
- A. Fahrenheit to Celsius: Subtract 32, then divide by 1.8; Celsius to Fahrenheit: Multiply by 1.8, then add 32
- B. Fahrenheit to Celsius: Subtract 32, then divide by 2; Celsius to Fahrenheit: Multiply by 1.8, then add 20
- C. Fahrenheit to Celsius: Multiply by 2, then add 32; Celsius to Fahrenheit: Subtract 32, then divide by 1.8
- D. Fahrenheit to Celsius: Subtract 30, then divide by 1.8; Celsius to Fahrenheit: Multiply by 2, then add 32
Correct answer: A
Rationale: To convert Fahrenheit to Celsius, you start by subtracting 32 from the Fahrenheit temperature and then divide the result by 1.8. This formula accounts for the freezing point of water at 32°F and the conversion factor to Celsius. To convert Celsius to Fahrenheit, you multiply the Celsius temperature by 1.8 and then add 32. This process takes into consideration the conversion factor from Celsius to Fahrenheit and the freezing point of water. Choice B is incorrect as dividing by 2 instead of 1.8 would yield an inaccurate conversion. Choice C is incorrect as it involves incorrect operations for both conversions. Choice D is incorrect as subtracting 30 instead of 32 for Fahrenheit to Celsius and multiplying by 2 instead of 1.8 for Celsius to Fahrenheit would provide incorrect results.
2. Lauren must travel a distance of 1,480 miles to get to her destination. She plans to drive approximately the same number of miles per day for 5 days. Which of the following is a reasonable estimate of the number of miles she will drive per day?
- A. 240 miles
- B. 260 miles
- C. 300 miles
- D. 340 miles
Correct answer: C
Rationale: To estimate the number of miles Lauren will drive per day, the total distance can be rounded to 1,500 miles. Divide this by the number of days she plans to drive, which is 5. 1,500 miles / 5 days = 300 miles per day. Therefore, a reasonable estimate for the number of miles she will drive per day is 300. Choice A (240 miles) is too low, Choice B (260 miles) is slightly low, and Choice D (340 miles) is too high when considering the total distance and the number of days Lauren plans to drive.
3. Express 18/5 as a reduced mixed number.
- A. 3 3/5
- B. 3 1/15
- C. 3 1/18
- D. 3 1/54
Correct answer: A
Rationale: 18/5 = 3 with a remainder of 3, so it is 3 3/5. 3 1/15 is equivalent to 46/15 which is greater than 18/5 3 1/18 converts to 55/18 which is also greater than 18/5 3 1/54 converts to 163/54
4. Based on a favorable performance review at work, Matt receives a 3/20 increase in his hourly wage. If his original hourly wage is represented by w, which of the following represents his new wage?
- A. 0.15w
- B. 0.85w
- C. 1.12w
- D. 1.15w
Correct answer: D
Rationale: To calculate Matt's new wage after a 3/20 increase, we need to add this percentage increase to his original wage. The increase in decimal form is 3/20 = 0.15. Therefore, the new wage is w + w(0.15) = w(1 + 0.15) = 1.15w. This means the correct answer is D. Choices A, B, and C are incorrect because they do not account for the full 3/20 increase in the wage. Choice A (0.15w) represents only the increase percentage, not the total new wage. Choice B (0.85w) and Choice C (1.12w) do not accurately calculate the new wage after the increase, leading to incorrect representations of the final wage.
5. The phone bill is calculated each month using the equation C = 50 + 75D. The cost of the phone bill per month is represented by C, and D represents the gigabytes of data used that month. What is the value and interpretation of the slope of this equation?
- A. 75 dollars per gigabyte
- B. 75 gigabytes per day
- C. 50 dollars per day
- D. 50 dollars per gigabyte
Correct answer: A
Rationale: The slope of the equation C = 50 + 75D is 75. This means that for each additional gigabyte used (represented by D), the cost (represented by C) increases by 75 dollars. Therefore, the correct interpretation of the slope is that it is 75 dollars per gigabyte. Choice B, 75 gigabytes per day, is incorrect as the slope does not represent the rate of data usage per day. Choice C, 50 dollars per day, is incorrect as it does not reflect the relationship between gigabytes used and the cost. Choice D, 50 dollars per gigabyte, is incorrect as it does not match the slope value of 75 in the equation.
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