Nursing Elites

1. What is the estimated total amount of money the roommates used to purchase the gift?

• A. $34
• B. $35
• C. $36
• D. $37

Correct answer: C

Rationale: To find the total amount spent by the roommates, you need to add up the individual amounts each roommate contributed. Anna contributed $18, Liz contributed $12, and Jane contributed $6. Adding these amounts together gives us $18 + $12 + $6 = $36. Therefore, the correct answer is $36. Option A ($34), Option B ($35), and Option D ($37) are incorrect as they do not match the correct calculation of the total amount spent by the roommates.

2. Arrange the following fractions from least to greatest: 2/3, 1/2, 5/8, 7/9.

• A. 7/9, 5/8, 2/3, 1/2
• B. 1/2, 2/3, 5/8, 7/9
• C. 1/2, 5/8, 2/3, 7/9
• D. 7/9, 2/3, 5/8, 1/2

Correct answer: C

Rationale: To compare the fractions, it is beneficial to convert them to decimals or find a common denominator. When converted to decimals: 1/2 = 0.50, 5/8 = 0.625, 2/3 ≈ 0.666, and 7/9 ≈ 0.778. Therefore, the correct order from least to greatest is 1/2, 5/8, 2/3, 7/9. Choice A is incorrect because it places 7/9 first, which is the greatest fraction. Choice B is incorrect as it incorrectly lists the fractions. Choice D is incorrect as it starts with 7/9, which is the largest fraction instead of the smallest.

3. Which proportion yields a different number for the unknown compared to the others?

• A. 2/3 = x/6
• B. 4/5 = x/10
• C. 3/4 = x/8
• D. 5/6 = x/12

Correct answer: D

Rationale: To find the value of x in each proportion, cross multiply. For proportion A, x = 4; for B, x = 8; for C, x = 6; and for D, x = 10. Hence, proportion D yields a different value for x compared to the others. Choices A, B, and C all result in unique values for x, but these values are distinct from the value obtained in proportion D.

4. Solve the equation 3(2x+5)=11x+5 for x. Which of the following is correct?

• A. 1
• B. 2
• C. -1
• D. -2

Correct answer: B

Rationale: To solve the equation, distribute 3 to both terms inside the parentheses: 6x + 15 = 11x + 5. Then, move 11x to the left side by subtracting it from both sides: 6x - 11x = 5 - 15. Simplify to get -5x = -10. Divide by -5 to isolate x: x = 2. Therefore, the correct answer is x = 2. Choices A, C, and D are incorrect because they do not match the correct solution obtained by solving the equation step by step.

5. If 5y - 7 = 13, what is y?

• A. 4
• B. 5
• C. 6
• D. 7

Correct answer: A

Rationale: To solve the equation 5y - 7 = 13, start by adding 7 to both sides to isolate the term with y: 5y = 20. Then, divide by 5 to solve for y, which gives y = 4. Therefore, the correct answer is A. Choice B, C, and D are incorrect as they do not yield the correct solution when substituted into the equation. It's important to follow the proper steps in solving linear equations to arrive at the correct answer.

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