ATI TEAS 7
TEAS Test Practice Math
1. A commuter survey counts the people riding in cars on a highway in the morning. Each car contains only one man, only one woman, or both one man and one woman. Out of 25 cars, 13 contain a woman and 20 contain a man. How many contain both a man and a woman?
- A. 4
- B. 7
- C. 8
- D. 13
Correct answer: C
Rationale: Let's denote the number of cars containing only a man as M, only a woman as W, and both a man and a woman as B. Given that there are 25 cars in total, we have: M + W + B = 25 From the information provided, we know that 13 cars contain a woman (W) and 20 cars contain a man (M). Since each car contains either one man, one woman, or both, the cars that contain both a man and a woman (B) are counted once in each of the M and W categories. Therefore, to find out how many cars contain both a man and a woman, we need to subtract the number of cars that contain only a man and only a woman from the total cars. M + B = 20 (as 20 cars contain a man) W + B = 13 (as 13 cars contain a woman) Solving the above two equations simultaneously, we get: M = 12, W = 5, B = 8 Therefore, 8 cars contain both a man and a woman. Hence, the correct answer is 8. Choice A, B, and D are incorrect as they do not reflect the correct calculation based on the information provided.
2. The length of a rectangle is 3 times its width. If the width is 4 inches, what is the perimeter of the rectangle?
- A. 28 inches
- B. 24 inches
- C. 30 inches
- D. 32 inches
Correct answer: A
Rationale: To find the perimeter of a rectangle, you add up all its sides. Given that the width is 4 inches and the length is 3 times the width (3 * 4 = 12 inches), the perimeter formula is 2 * (length + width). Substituting the values, we get 2 * (12 + 4) = 2 * 16 = 32 inches. Therefore, the correct answer is 32 inches. Choices B, C, and A are incorrect because they do not reflect the correct calculation of the rectangle's perimeter.
3. Which of the following components of the human integumentary system is the deepest?
- A. Stratum basale
- B. Epidermis
- C. Hypodermis
- D. Dermis
Correct answer: C
Rationale: The hypodermis is the deepest layer of the integumentary system, located below the dermis. It serves as a layer of fat that helps insulate the body, store energy, and provide cushioning. The stratum basale is the deepest layer of the epidermis, not the entire integumentary system. The epidermis is the outermost layer of the skin, followed by the dermis, and then the hypodermis. Therefore, the correct answer is the hypodermis (choice C). Choices A, B, and D are incorrect as they do not represent the deepest layer of the integumentary system.
4. Which of the following best defines the anatomical term medial?
- A. Being face down
- B. On the front of the body or limb
- C. Near to the midline of the body
- D. Above or on top of the lungs
Correct answer: C
Rationale: The correct definition of the anatomical term 'medial' is being close or near to the midline of the body. This term describes a position closer to the center or midline of the body, opposite to 'lateral' which refers to a position further away from the midline. Choice A, 'Being face down,' is incorrect as it describes the anatomical term 'prone.' Choice B, 'On the front of the body or limb,' is incorrect as it describes the anatomical term 'anterior.' Choice D, 'Above or on top of the lungs,' is incorrect as it does not relate to the term 'medial.'
5. Iron is a transition metal, which means it often forms a cation with a charge of what?
- A. 2- or 3-
- B. 1-
- C. 2+ or 3+
- D. 1+
Correct answer: C
Rationale: The correct answer is C: 2+ or 3+. Transition metals, like iron, are known for their ability to exhibit variable oxidation states. This characteristic allows them to form cations with charges such as 2+ or 3+. Specifically, iron can form cations with these charges due to the varying electron configurations in its d-orbitals. The other choices are incorrect because transition metals typically form positively charged cations, not negatively charged ones. Additionally, while iron can form cations with charges of 2+ or 3+, it does not commonly form cations with charges of 1- or 1+. Transition metal cations play a crucial role in forming coordination complexes with ligands, highlighting their importance in various chemical reactions.
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