4 122 24 8 12 simplify the expression which of the following is correct
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ATI TEAS 7

TEAS Exam Math Practice

1. 4 − 1/(22) + 24 ÷ (8 + 12). Simplify the expression. Which of the following is correct?

Correct answer: C

Rationale: First, complete the operations in parentheses: 4 − (1/22) + 24 ÷ 20. Next, simplify the exponents: 4 − (1/22) + 24 ÷ 20 = 4 − (1/4) + 24 ÷ 20. Then, complete multiplication and division operations: 4 − (1/4) + 24 ÷ 20 = 4 − 0.25 + 1.2. Finally, complete addition and subtraction operations: 4 − 0.25 + 1.2 = 4.95. Choice A, 1.39, is incorrect as it does not match the correct calculation. Choice B, 2.74, is incorrect as it is not the result of the given expression. Choice D, 15.28, is incorrect as it is not the correct simplification of the initial expression.

2. Which property of a substance refers to its ability to be stretched into thin wires?

Correct answer: C

Rationale: Ductility is the property of a substance that allows it to be stretched into thin wires without breaking. It is a crucial property for materials used in wire production. Conductivity refers to the ability of a substance to conduct electricity or heat, not to be stretched into wires. Viscosity is the measure of a fluid's resistance to flow, not its ability to be stretched. Malleability is the property of a substance that allows it to be hammered or rolled into thin sheets, not stretched into wires.

3. What is the instructor's main purpose in writing this email to his students?

Correct answer: C

Rationale: The instructor's main purpose in writing the email is to provide students with opportunities to improve their scores and avoid failing the course. The email outlines different options for extra credit projects that can help students make up for the low scores they received on the essay exam. This shows that the instructor is focused on helping students succeed rather than criticizing them (choice A), motivating them (choice B), or acknowledging the difficulty of the exam (choice D).

4. Which type of reasoning has the FBI agent used?

Correct answer: D

Rationale: The correct answer is D: Inductive Reasoning. Inductive reasoning involves drawing general conclusions from specific observations or instances. In this case, the FBI agent is creating a theory based on observations of specific cases rather than applying a general rule to a specific situation (which would be deductive reasoning). Conductive reasoning is not a recognized type of reasoning, and quantitative reasoning involves interpreting and analyzing quantitative information.

5. Which of the following prefixes means 'with'?

Correct answer: C

Rationale: The correct answer is C: 'con-'. The prefix 'con-' means 'with' or 'together,' as in words like 'convene' or 'connect.' Choice A, 'bio-', is a prefix that means 'life' or 'living organisms,' not 'with.' Choice B, 'per-', is a prefix that means 'through' or 'thoroughly,' not 'with.' Choice D, 'trans-', is a prefix that means 'across' or 'beyond,' not 'with.' Therefore, the correct choice that means 'with' is 'con-'.

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