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X/4 = 9/x, solve for x.
- A. x = 6
- B. x = 3
- C. x = 9
- D. x = 2
Correct Answer: A
Rationale: To solve X/4 = 9/x, cross multiply to get x^2 = 36. Taking the square root of both sides gives x = 6. Choice A is correct because x = 6 satisfies the equation x^2 = 36. Choices B, C, and D are incorrect as they do not satisfy the equation when substituted back into it.
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Solve: 2 - 8(24 · 2).
- A. -94
- B. -92
- C. -96
- D. -90
Correct Answer: A
Rationale: To solve the expression, we follow the order of operations (PEMDAS). First, we divide 24 by 2 to get 12. Then, we multiply 8 by 12, which equals 96. Finally, we subtract 96 from 2: 2 - 96 = -94. Therefore, the correct answer is A, '-94'. Choices B, C, and D are incorrect as they do not follow the correct order of operations or make errors during calculation.
A medication order is written as 3/4 of a tablet. If each tablet is 500mg, what is the equivalent dosage in milligrams?
- A. 375mg
- B. 425mg
- C. 450mg
- D. 475mg
Correct Answer: B
Rationale: Rationale:
- Each tablet is 500mg.
- The medication order is for 3/4 of a tablet.
- To find the equivalent dosage in milligrams, we need to calculate 3/4 of 500mg.
- 3/4 of 500mg = (3/4) * 500mg = 0.75 * 500mg = 375mg.
- Therefore, the equivalent dosage in milligrams is 375mg.
How many pints are in 56 ounces?
- A. 3
- B. 3.5
- C. 7
- D. 8
Correct Answer: B
Rationale: To find out how many pints are in 56 ounces, you need to divide 56 by 16 (as there are 16 ounces in a pint). This results in 3.5 pints, making choice B the correct answer. Choices A, C, and D are incorrect because they do not accurately calculate the conversion from ounces to pints.
Convert the decimal 0.98 to a percent.
- A. 98%
- B. 9%
- C. 98
- D. 99%
Correct Answer: A
Rationale: To convert a decimal to a percent, you multiply the decimal by 100. In this case, 0.98 100 = 98%. Therefore, the correct answer is A, which is 98%. Choice B (9%) is incorrect as it results from an error in calculation. Choice C (98) is incorrect as it lacks the percent symbol. Choice D (99%) is incorrect as it is not the equivalent percentage of 0.98.
Stewart has 56 acres of land. He wants to divide the land into plots of 0.25 acres. How many plots of land will Stewart have after he divides the 56 acres?
- A. 224 plots
- B. 220 plots
- C. 210 plots
- D. 230 plots
Correct Answer: A
Rationale: To find the number of plots, divide 56 acres by 0.25 acres per plot: 56 · 0.25 = 224 plots. Therefore, Stewart will have 224 plots of land after dividing the 56 acres. The correct answer is A because dividing 56 acres by 0.25 acres per plot gives 224 plots, not 220, 210, or 230 plots.