Nursing Elites

1. Solve for x: 4(2x - 6) = 10x - 6

• A. x = 5
• B. x = -7
• C. x = -9
• D. x = 10

Correct answer: C

Rationale: To solve the equation 4(2x - 6) = 10x - 6, first distribute 4 into the parentheses: 8x - 24 = 10x - 6. Next, simplify the equation by rearranging terms: 8x - 10x = -6 + 24, which gives -2x = 18. Solving for x by dividing by -2 on both sides gives x = -9. Therefore, the correct answer is x = -9. Choice A (x = 5), Choice B (x = -7), and Choice D (x = 10) are incorrect solutions obtained by errors in solving the equation.

2. Joshua has to earn more than 92 points on a state test to qualify for a scholarship. Each question is worth 4 points, and the test has 30 questions. Which inequality can be solved to determine the number of questions Joshua must answer correctly?

• A. 4x < 30
• B. 4x < 92
• C. 4x > 30
• D. 4x > 92

Correct answer: D

Rationale: Joshua must answer more than 92 points' worth of questions. Since each question is worth 4 points, the inequality is 4x > 92. Choice A (4x < 30) is incorrect as it represents that Joshua must answer less than 30 questions correctly, not earning more than 92 points. Choice B (4x < 92) is incorrect as it signifies that Joshua must earn less than 92 points, which contradicts the requirement. Choice C (4x > 30) is incorrect as it implies that Joshua must answer more than 30 questions correctly, but the threshold is 92 points, not 30 points.

3. What is the mode of the set of numbers {4, 4, 5, 7, 8}?

• A. 4
• B. 5
• C. 7
• D. 8

Correct answer: A

Rationale: The mode of a set of numbers is the value that appears most frequently. In the given set {4, 4, 5, 7, 8}, the number 4 appears twice, which is more frequent than any other number. Therefore, the mode of this set is 4. Choice B, 5, is incorrect as it only appears once in the set. Choices C and D, 7 and 8 respectively, also appear only once each, making them less frequent than the number 4.

4. Jayden rides his bike for 5/8 miles. He takes a break and rides another 3/4 miles. How many miles does he ride?

• A. 1 3/8 miles
• B. 1 1/2 miles
• C. 1 7/8 miles
• D. 2 miles

Correct answer: A

Rationale: To find the total distance Jayden rides, you need to add the fractions 5/8 + 3/4. To add these fractions, you must ensure they have a common denominator. In this case, the common denominator is 8. So, 5/8 + 3/4 = 5/8 + 6/8 = 11/8. Since 11/8 can be simplified to 1 3/8, Jayden rides a total of 1 3/8 miles. Choice B (1 1/2 miles), Choice C (1 7/8 miles), and Choice D (2 miles) are incorrect as they do not accurately represent the total distance calculated by adding the two fractions, which is 1 3/8 miles.

5. A circle has an area of 121π in². Which of the following is the circumference of the circle in terms of pi (π)?

• A. 11Ï€ in
• B. 22Ï€ in
• C. 44Ï€ in
• D. 5.5Ï€ in

Correct answer: B

Rationale: To find the circumference of the circle, we first need to determine the radius. Given that the area of the circle is 121π in², we use the formula for the area of a circle (A = πr²) to find the radius squared. So, r² = 121, which means the radius (r) is 11 in. The circumference of a circle is calculated using the formula 2πr. Substituting the radius value of 11 in, we get 2π(11) = 22π in. Therefore, the correct answer is 22π in. Choice A (11π in), Choice C (44π in), and Choice D (5.5π in) are incorrect because they do not correctly calculate the circumference based on the given area of the circle.

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