is a mile or a km bigger whats the conversion factor
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ATI TEAS 7

Math Practice TEAS Test

1. Which is bigger, a mile or a kilometer? What's the conversion factor?

Correct answer: A

Rationale: A mile is bigger than a kilometer. The correct conversion factor is 1 mile = 1.609 km. This means that one mile is equivalent to approximately 1.609 kilometers. Choice B is incorrect because a mile is bigger than a kilometer, and the conversion is not 1 km = 1.609 miles. Choice C is incorrect as the conversion factor provided is inaccurate; 1 mile is not equal to 1.5 km. Choice D is incorrect as it states that a kilometer is bigger, which is not true according to the actual conversion factor.

2. What is the difference between two negative numbers?

Correct answer: B

Rationale: The correct answer is B: 'Positive number.' When you subtract one negative number from another negative number, the result can be a positive number. For example, the difference between -5 and -3 is 2, which is a positive number. Choice A, 'Negative number,' is incorrect because the result of subtracting two negative numbers can be positive. Choice C, 'Zero,' is incorrect because the difference between two negative numbers is not always zero. Choice D, 'Not enough information,' is incorrect because there is enough information to determine that the difference between two negative numbers can be a positive number.

3. A sandwich shop earns $4 for every sandwich (s) it sells, $2 for every drink (d), and $1 for every cookie (c). If this is all the shop sells, which of the following equations represents what the shop’s revenue (r) is over three days?

Correct answer: A

Rationale: Let s be the number of sandwiches sold. Each sandwich earns $4, so selling s sandwiches at $4 each results in revenue of $4s. Similarly, d drinks at $2 each give $2d of income, and cookies bring in $1c. Summing these values gives total revenue = 4s + 2d + 1c. Therefore, option A, r = 4s + 2d + 1c, correctly represents the shop's revenue. Choices B, C, and D are incorrect because they incorrectly multiply the prices of each item by more than one day's sales, which would overstate the total revenue for a three-day period.

4. What is the result of multiplying (3/5) by (5/8)?

Correct answer: A

Rationale: To multiply fractions, multiply the numerators together and the denominators together. For (3/5) * (5/8), you get (3*5) / (5*8) = 15 / 40, which simplifies to 3/8. Therefore, the correct answer is A. Choice B (3/5) is incorrect as it is one of the original fractions being multiplied. Choice C (15/40) is the result of the multiplication but not simplified to its lowest terms. Choice D (3/30) is incorrect as the numerator is not the result of multiplying 3 and 5 together.

5. Veronica decided to celebrate her promotion by purchasing a new car. The base price for the car was $40,210. She paid an additional $3,015 for a surround sound system and $5,218 for a maintenance package. What was the total price of Veronica’s new car?

Correct answer: B

Rationale: To find the total price of Veronica's new car, add the base price, the cost of the surround sound system, and the cost of the maintenance package. Calculation: $40,210 (base price) + $3,015 (sound system) + $5,218 (maintenance package) = $48,443. Therefore, the correct answer is $48,443. Choice A, $50,210, is incorrect as it does not include the maintenance package cost. Choice C, $43,225, is incorrect as it only considers the base price and the maintenance package but omits the sound system cost. Choice D, $40,210, is the base price alone and does not account for the additional costs of the sound system and maintenance package.

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