simplify the expression which of the following is correct 3283 54
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ATI TEAS 7

TEAS Exam Math Practice

1. Simplify the expression. Which of the following is correct? (3/2)(8/3) ÷ (5/4)

Correct answer: B

Rationale: Using PEMDAS (Parentheses, Exponents, Multiplication and Division, Addition and Subtraction): (3/2)(8/3) ÷ (5/4) = (24/6) ÷ (5/4) = (4/1) ÷ (5/4). To divide fractions, the second fraction is flipped and then multiplied by the first fraction, resulting in (4/1)(4/5) = (16/5), which simplifies to 3(1/5) or 2.

2. If a car travels 150 miles in 3 hours, what is the car's average speed in miles per hour?

Correct answer: B

Rationale: To calculate the average speed, use the formula: Average speed = Total distance / Total time. In this case, Average speed = 150 miles / 3 hours = 50 mph. Therefore, the car's average speed is 50 miles per hour. Choice A (45 mph), Choice C (55 mph), and Choice D (60 mph) are incorrect as they do not match the correct calculation based on the given distance and time values.

3. Kyle has $950 in savings and wishes to donate one-fifth of it to 8 local charities. He estimates that he will donate around $30 to each charity. Which of the following correctly describes the reasonableness of his estimate?

Correct answer: C

Rationale: Kyle initially had $950 in savings, and one-fifth of that amount would be $190. Since he wishes to donate around $30 to each charity, the total amount he would donate to 8 local charities would be $30 x 8 = $240. This amount is more than one-fifth of $1,000, making the estimate not reasonable. Choice A is incorrect because $190 is the correct one-fifth of $950, not $900. Choice B is incorrect as it compares $190 to a different amount ($1,000) rather than the actual total. Choice D is incorrect as it states that $240 is one-fifth of $1,000, which is inaccurate.

4. Which term describes the most likely structure of an essay about the similarities and differences between World War I and World War II?

Correct answer: D

Rationale: The correct answer is 'Compare/contrast.' This structure is specifically designed to analyze and highlight the similarities and differences between two subjects, making it the most appropriate choice for an essay discussing the similarities and differences between World War I and World War II. Choice A, 'Technical,' typically involves detailed, specialized information rather than comparison. Choice B, 'Expository,' focuses on explaining or describing a topic without necessarily comparing or contrasting different subjects. Choice C, 'Cause/effect,' is used to examine the causes and consequences of events, which is different from directly comparing and contrasting two historical events like World War I and World War II.

5. Which of the following is the positively charged subatomic particle found in the nucleus of an atom?

Correct answer: B

Rationale: The correct answer is B: Proton. Protons are positively charged subatomic particles found in the nucleus of an atom. They have a mass of approximately 1 atomic mass unit (amu) and a charge of +1. The number of protons in an atom's nucleus determines the atomic number of the element, which is a unique identifier for each element. Choice A, Electron, is incorrect as electrons are negatively charged particles found outside the nucleus. Choice C, Neutron, is incorrect as neutrons are neutral particles found in the nucleus. Choice D, Quark, is incorrect as quarks are elementary particles that combine to form protons and neutrons, but they are not the positively charged particle found in the nucleus of an atom.

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