ATI TEAS 7
TEAS Test Practice Math
1. Sally wants to buy a used truck for her delivery business. Truck A is priced at $450 and gets 25 miles per gallon. Truck B costs $650 and gets 35 miles per gallon. If gasoline costs $4 per gallon, how many miles must Sally drive to make truck B the better buy?
- A. 500
- B. 7500
- C. 1750
- D. 4375
Correct answer: D
Rationale: To determine the breakeven point where Truck B becomes the better buy, we need to compare the total costs for both trucks. For Truck A: Total cost = $450 + (miles / 25) * $4. For Truck B: Total cost = $650 + (miles / 35) * $4. To find the point where Truck B is the better buy, set the two total cost equations equal to each other and solve for miles. By solving this equation, we find that Sally must drive 4375 miles for Truck B to be the better buy. Choice A (500) is too low, Choice B (7500) is too high, and Choice C (1750) does not represent the breakeven point where Truck B becomes more cost-effective.
2. The number of vacuum cleaners sold by a company per month during Year 1 is listed below: 18, 42, 29, 40, 24, 17, 29, 44, 19, 33, 46, 39. Which of the following is true?
- A. The mean is less than the median
- B. The mode is greater than the median
- C. The mode is less than the mean, median, and range
- D. The mode is equal to the range
Correct answer: D
Rationale: The mean number of vacuum cleaners sold per month is 31.7, the mode is 29, the median is 31, and the range is 29. The mode being equal to the range is the correct statement. Option A is incorrect because the mean (31.7) is greater than the median (31). Option B is incorrect as the mode (29) is not greater than the median (31). Option C is incorrect since the mode (29) is not less than the mean, median, or range.
3. What is the waxy or oily substance produced by sebaceous glands that helps lubricate the skin and hair?
- A. Keratin
- B. Melanin
- C. Sebum
- D. Sweat
Correct answer: C
Rationale: Sebum is the waxy or oily substance produced by sebaceous glands. It helps lubricate the skin and hair, keeping them moisturized and protected. Keratin is a protein that makes up hair, skin, and nails, providing structure and strength. Melanin is a pigment that gives color to the skin, hair, and eyes, providing protection against UV radiation. Sweat is a watery fluid produced by sweat glands to help regulate body temperature by cooling the body through evaporation.
4. Imagine you have an element with atomic number 20 and mass number 40. How many neutrons does it have?
- A. 20
- B. 40
- C. 10
- D. 20
Correct answer: C
Rationale: - The atomic number (Z) represents the number of protons in an atom. In this case, the atomic number is 20. - The mass number (A) represents the total number of protons and neutrons in an atom. In this case, the mass number is 40. - To find the number of neutrons, you subtract the atomic number from the mass number: Neutrons = Mass number - Atomic number. - Neutrons = 40 - 20 = 20. - Therefore, the element with atomic number 20 and mass number 40 has 20 neutrons.
5. Based on Gemma's preferences and limited time, which of the following travel guides will be best for her?
- A. Exploring the Hawaiian Islands: The Best Waterfalls on the Big Island and Maui
- B. Na Pali: The Two-Day Hike That Changes Everything
- C. Pineapples, Taro, and Roasted Pigs: A Dining Guide to Hawaii
- D. The Top Ten: Beaches, Restaurants, and Sightseeing in Honolulu and on Oahu
Correct answer: A
Rationale: Given Gemma's goal of seeing as much as possible in a short time while enjoying outdoor activities and nature, the best travel guide for her would be 'Exploring the Hawaiian Islands: The Best Waterfalls on the Big Island and Maui.' This guide aligns with her interest in outdoor activities and waterfalls, making it the ideal choice to enhance her trip experience. Choice B, 'Na Pali: The Two-Day Hike That Changes Everything,' focuses on a specific hike and may not cover a broad range of attractions Gemma wants to explore. Choice C, 'Pineapples, Taro, and Roasted Pigs: A Dining Guide to Hawaii,' is more food-oriented and doesn't cater to Gemma's interest in outdoor activities. Choice D, 'The Top Ten: Beaches, Restaurants, and Sightseeing in Honolulu and on Oahu,' while offering a variety of attractions, doesn't specifically target Gemma's interest in exploring waterfalls and the natural beauty of Hawaii as she desires.
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