Nursing Elites

1. Solve |x| = 10.

• A. -10, 10
• B. -11, 11
• C. -12, 12
• D. -13, 13

Correct answer: A

Rationale: The absolute value of x is equal to 10 when x is either -10 or 10. Therefore, the correct answer is A. Choices B, C, and D are incorrect because they do not satisfy the equation |x| = 10. For choice B, -11 and 11 do not satisfy the condition. Choices C and D also do not provide solutions that meet the equation's requirement.

2. Given that three vertices of a parallelogram are (1, 2), (3, 4), and (5, 6), what are the coordinates of the fourth vertex?

• A. (1, 6)
• B. (3, 2)
• C. (5, 2)
• D. (7, 8)

Correct answer: D

Rationale: To find the fourth vertex of a parallelogram, we can use the properties of a parallelogram. Opposite sides of a parallelogram are parallel and equal in length. Therefore, we can determine the fourth vertex by extending the line formed by the first two points. If we extend the line from (1, 2) to (3, 4), we find that it has a slope of 1. This means that extending the line from (3, 4) by the same slope will give us the fourth vertex. By adding 2 units to both x and y coordinates of (5, 6), we get (7, 8) as the coordinates of the fourth vertex. Therefore, the correct answer is (7, 8). Choices A, B, and C are incorrect as they do not satisfy the properties of a parallelogram and the given coordinate points.

3. What is the range in the number of flights made per month by the flight attendant?

• A. 20
• B. 25
• C. 29
• D. 32

Correct answer: C

Rationale: The range is calculated by finding the difference between the highest and lowest values. In this case, the highest number of flights made per month is 32, and the lowest is 3. Therefore, the range is 32 - 3 = 29. Choice C, '29', is the correct answer. Choice A, '20', Choice B, '25', and Choice D, '32', are incorrect as they are individual data points and do not represent the range, which is a measure of spread between the highest and lowest values.

4. The value of 6 x 12 is the same as:

• A. 2 x 4 x 4 x 2
• B. 7 x 4 x 3
• C. 6 x 6 x 3
• D. 3 x 3 x 4 x 2

Correct answer: A

Rationale: To find the value of 6 x 12, we multiply 6 by 12, which equals 72. A: 2 x 4 x 4 x 2 = 32 B: 7 x 4 x 3 = 84 C: 6 x 6 x 3 = 108 D: 3 x 3 x 4 x 2 = 72 Therefore, the correct answer is A, as the product of 2 x 4 x 4 x 2 equals 32, which is the same as 6 x 12.

5. What is a common denominator?

• A. A shared multiple of two denominators
• B. A shared factor of two numerators
• C. A number that is the same in all fractions
• D. A number that divides evenly into both fractions

Correct answer: A

Rationale: A common denominator is a shared multiple of the denominators in a set of fractions. It is necessary when adding or subtracting fractions to have a common denominator to ensure that the fractions can be combined accurately. Choice B is incorrect because the common denominator is related to the denominators, not the numerators. Choice C is incorrect because while the common denominator is the same in all fractions being added or subtracted, it is not necessarily a number that is the same in all fractions. Choice D is incorrect because a common denominator is a multiple of the denominators, not a number that divides evenly into both fractions.

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