four more than a number x is 2 less than 13 of another number y which of the following algebraic equations correctly represents this sentence
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ATI TEAS 7

TEAS Practice Math Test

1. Which of the following algebraic equations correctly represents the sentence 'Four more than a number, x, is 2 less than 1/3 of another number, y'?

Correct answer: A

Rationale: To represent 'Four more than a number, x', we write x + 4. This is equal to '2 less than 1/3 of another number, y', which translates to 1/3y - 2. Therefore, the correct equation is x + 4 = (1/3)y - 2. Choice B is incorrect as it incorrectly combines the values of x and y. Choice C is incorrect as it doesn't properly relate x and y with the given conditions. Choice D is incorrect as it doesn't correctly represent the relationship between x and y according to the given statement.

2. What is the median of the data set below: 5, -3, 10, -2, 0?

Correct answer: B

Rationale: To find the median, we first need to arrange the data set in ascending order: -3, -2, 0, 5, 10. The median is the middle value in the ordered set. As there are 5 numbers, the middle value is the third number, which is 0. Therefore, the correct answer is 0. Choice A (10) and Choice D (2) are not correct because they are not the middle values once the data set is ordered. Choice C (5) is also incorrect as it is not the middle value in the ordered data set.

3. Approximately how many people voted for the proposition if 9.5% of the town's population of 51,623 voted for it in a municipal election?

Correct answer: B

Rationale: To find the approximate number of people who voted for the proposition, multiply the town's population by the percentage that voted for it. 9.5% of 51,623 is about 0.095 * 51,623 ≈ 4,904. Rounded to the nearest thousand, this gives an estimate of 5,000 people. Therefore, choice B, '5,000,' is the correct answer. Choices A, C, and D are incorrect as they do not align with the calculated estimation.

4. If Mom's car drove 72 miles in 90 minutes, how fast did she drive in feet per second?

Correct answer: D

Rationale: To convert miles per hour to feet per second, first convert time to hours: 90 minutes = 1.5 hours. Then, calculate the speed in miles per hour: 72 miles in 1.5 hours = 48 mph. Finally, convert mph to feet per second using the conversion factor 1 mph = 1.47 feet per second: 48 mph * 1.47 = 70.4 feet per second. Therefore, the correct answer is 70.4 feet per second. Choices A, B, and C are incorrect because they do not reflect the correct conversion from miles per hour to feet per second.

5. A study divides patients into 3 groups with fractions: 1/2, 1/3, and 1/6. Which group has the largest number of patients?

Correct answer: A

Rationale: Group Alpha has the largest number of patients because it represents 1/2 of the total population, which is the highest fraction among the groups. Group Beta represents 1/3 of the population, and Group Gamma represents 1/6 of the population, making them smaller fractions in comparison. Group Delta is not mentioned in the question and is therefore unrelated to the comparison of the groups.

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