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If x = -2 and m = -3, evaluate: xm - 2m
- A. 12
- B. 6
- C. 8
- D. 10
Correct Answer: A
Rationale: Substitute x = -2 and m = -3 into the expression: (-2) * (-3) - 2 * (-3) = 6 + 6 = 12. Therefore, the correct answer is 12. The mistake in the other choices lies in the calculation. Choice B, 6, is the result of adding the two terms instead of subtracting the second term from the first. Choice C, 8, and Choice D, 10, are also incorrect as they do not follow the correct calculation process.
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How many gallons are in 576 fluid ounces?
- A. 4 gallons
- B. 5 gallons
- C. 6 gallons
- D. 3 gallons
Correct Answer: A
Rationale: To convert fluid ounces to gallons, you need to know that there are 128 fluid ounces in a gallon. To find how many gallons are in 576 fluid ounces, divide 576 by 128, which equals 4.5 gallons. Since we are looking for the closest whole number, the answer is 4 gallons. Choice A is correct. Choice B, C, and D are incorrect as they do not accurately represent the conversion from fluid ounces to gallons.
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.
An office manager makes photocopies for the entire staff each day. At the end of the week, she finds that the photocopy machine has made a total of 3,475 copies. If 6 people used the copier and each person made the same number of copies, how many copies did each person make?
- A. 579 copies
- B. 680 copies
- C. 670 copies
- D. 585 copies
Correct Answer: A
Rationale: To find out how many copies each person made, divide the total number of copies made (3,475) by the number of people who used the copier (6). This gives 579 copies per person (3,475 · 6 = 579). Therefore, each person made 579 copies. Choices B, C, and D are incorrect as they do not result from the correct division of the total number of copies by the number of people who used the copier.
Change the following percentage to a decimal: 58%
- A. 0.58
- B. 5
Correct Answer: A
Rationale: To convert a percentage to a decimal, move the decimal point two places to the left. Therefore, 58% as a decimal is 0.58. Choice B, 5, is incorrect as it does not represent the conversion of a percentage to a decimal. Choices C and D, both 0, are also incorrect as they do not reflect the correct conversion of 58% to a decimal.
7:5=91:x. Find x.
- A. x=65
- B. x=55
- C. x=75
- D. x=85
Correct Answer: A
Rationale: To solve the proportion 7:5=91:x, cross multiply to get 7x = 5 * 91. Then, solve for x by dividing both sides by 7, which gives x = 65. Therefore, the correct answer is x=65. Choice B, x=55, is incorrect because it does not satisfy the proportion equation. Choices C and D, x=75 and x=85, are also incorrect as they do not match the calculated value of x when the proportion is solved.