at the beginning of the day xavier has 20 apples a 1472423
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ATI TEAS 7

TEAS Test Math Prep

1. At the beginning of the day, Xavier has 20 apples. At lunch, he meets his sister Emma and gives her half of his apples. After lunch, he stops by his neighbor Jim’s house and gives him 6 of his apples. He then uses ¾ of his remaining apples to make an apple pie for dessert at dinner. At the end of the day, how many apples does Xavier have left?

Correct answer: D

Rationale: Xavier starts with 20 apples. He gives half of his apples to his sister Emma, which is 20 ÷ 2 = 10 apples, leaving him with 10 apples. Then, he gives 6 apples to his neighbor Jim, leaving him with 10 - 6 = 4 apples. Using ¾ of his remaining 4 apples for the pie, he uses 3/4 x 4 = 3 apples. Therefore, he has 4 - 3 = 1 apple left at the end of the day. Choice D, 1 apple, is the correct answer. Choices A, B, and C are incorrect because Xavier ends up with 1 apple remaining, not 4, 6, or 2.

2. Simplify the following expression: (2/7) ÷ (5/6)

Correct answer: D

Rationale: To divide fractions, you multiply the first fraction by the reciprocal of the second fraction. In this case, (2/7) ÷ (5/6) becomes (2/7) × (6/5) = 12/35. Therefore, the correct answer is 12/35. Choice A (2/5), choice B (35/15), and choice C (5/21) are incorrect because they do not correctly simplify the given expression.

3. Which type of joint connects the bones of the skull?

Correct answer: B

Rationale: Fibrous joints connect the bones of the skull. These joints are immovable or provide very limited movement, providing stability and protection to the brain. Synovial joints (Choice A) are found in the limbs and allow for a wide range of movements. Cartilaginous joints (Choice C) are connected by cartilage and allow limited movement. Ball-and-socket joints (Choice D) allow for a wide range of motion, such as the hip and shoulder joints, but they do not connect the bones of the skull.

4. What is the purpose of a catalyst?

Correct answer: C

Rationale: The purpose of a catalyst is to increase a reaction's rate by decreasing the activation energy required for the reaction to occur. This allows the reaction to proceed more quickly without being consumed in the process. The catalyst provides an alternate mechanism with a lower activation energy, making it easier for the reactants to convert into products. Choice A is incorrect because a catalyst lowers, not increases, the activation energy. Choice B is incorrect because a catalyst does not affect the temperature directly but provides an alternative pathway for the reaction to occur more easily. Choice D is incorrect because a catalyst does not lower the temperature but facilitates the reaction by lowering the activation energy barrier. Therefore, the correct answer is C, 'To increase a reaction rate by decreasing the activation energy.'

5. What is the scientific term for a broken bone?

Correct answer: B

Rationale: The scientific term for a broken bone is a fracture. Osteoporosis is a condition characterized by weak and brittle bones, not a broken bone. A sprain involves an injury to a ligament, not a bone. Dislocation occurs when the ends of bones are forced out of their normal positions at a joint, which is different from a fracture.

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