which of the following weights is equivalent to 3193 kilograms
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ATI TEAS 7

TEAS Practice Test Math

1. Which of the following weights is equivalent to 3.193 kilograms?

Correct answer: B

Rationale: To convert kilograms to grams, you need to remember that 1 kilogram is equal to 1,000 grams. Therefore, 3.193 kilograms is equivalent to 3,193 grams (3.193 kg * 1,000 g/kg = 3,193 g). Choice A (3,193,000 grams) incorrectly converts kilograms to milligrams, Choice C (319.3 grams) incorrectly moves the decimal point one place to the right, and Choice D (0.003193 grams) incorrectly converts kilograms to milligrams and then further to grams.

2. What percentage of the staff is certified and available to work in the neonatal unit during the holiday if 35% are on vacation and 20% of the remainder are certified?

Correct answer: A

Rationale: After 35% of the staff are on vacation, 65% remain. Since 20% of the remaining staff are certified, you multiply 0.20 by 65% (0.20 * 65% = 0.13 or 13%). Therefore, the correct answer is 0.13 or 13%. Choices C and D are incorrect as they do not represent the correct calculation for the percentage of certified staff available. Choice B is incorrect because it incorrectly states the calculated percentage as 0.13 instead of 0.07.

3. What is the simplified form of the expression (x^2 + 2x)/(x)?

Correct answer: A

Rationale: To simplify the expression (x^2 + 2x)/(x), we factor out x from the numerator to get x(x + 2) and then cancel the x in the denominator. This simplifies to x + 2, making choice A the correct answer. Choice B (x^2 + 2) is incorrect as it does not account for the division by x. Choice C (x(x + 2)) is also incorrect as it represents the factored form before cancellation. Choice D (1 + 2/x) is incorrect as it does not simplify the expression correctly.

4. What is the product of 2/3 and 3/4?

Correct answer: A

Rationale: To multiply fractions, you multiply the numerators to get the new numerator and multiply the denominators to get the new denominator. Therefore, multiplying 2/3 by 3/4 results in (2*3) / (3*4) = 6/12. Simplifying 6/12 by dividing both the numerator and denominator by 6 gives 1. Hence, the correct answer is 1. Choices B, C, and D are incorrect as they do not represent the correct product of multiplying 2/3 by 3/4.

5. Simplify the expression. Which of the following is the value of x? (5(4x – 5) = (3/2)(2x – 6))

Correct answer: C

Rationale: To solve the given proportion 5(4x – 5) = (3/2)(2x – 6), first distribute to get 20x - 25 = 3x - 9. Then, simplify the linear equation by isolating x: 20x - 3x = 25 - 9, which leads to 17x = 16. Finally, solving for x gives x = 16/17. Choice A is incorrect as it does not match the calculated value of x. Choice B is incorrect as it does not correspond to the correct solution for x. Choice D is incorrect as it does not align with the accurate value of x obtained from solving the equation.

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