chan receives a bonus from his job he pays 30 in taxes gives 30 to charity and uses another 25 to pay off an old debt he has 600 remaining what was th
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ATI TEAS 7

TEAS Practice Math Test

1. Chan receives a bonus from his job. He pays 30% in taxes, donates 30% to charity, and uses another 25% to pay off an old debt. He has $600 remaining. What was the total amount of Chan's bonus?

Correct answer: D

Rationale: Chan has used 30% + 30% + 25% = 85% of his bonus, which leaves 15% remaining. Since 15% of his bonus is $600, you can find the total bonus amount by dividing $600 by 15% (or multiplying by 100/15), which equals $4,000. Therefore, the correct answer is $4,000. The other choices are incorrect because they do not accurately represent the total remaining amount after the specified deductions.

2. In a study measuring the average hours worked per week by different types of hospital staff (such as nurses and physicians), what are the dependent and independent variables?

Correct answer: D

Rationale: In this study, the dependent variable is the 'Average hours worked per week,' as it relies on the different types of 'Hospital Staff' (the independent variable). The amount of time worked per week varies based on the category of staff being considered. Therefore, the correct choice is D. Choices A and B incorrectly assign the dependent and independent variables to specific staff categories (Nurses and Physicians), which are actually different elements within the study. Choice C incorrectly defines the dependent variable as 'Hospital Staff,' when in fact, it is the 'Average hours worked per week' that is dependent on the type of staff.

3. 4.67 miles is equivalent to how many kilometers to three significant digits?

Correct answer: B

Rationale: To convert miles to kilometers, we use the conversion factor of 1 mile โ‰ˆ 1.60934 km. Therefore, 4.67 miles * 1.60934 km/mile = 7.514 km. When rounded to three significant digits, the answer is 7.51 km. Choice A of 7.514 km is the correct conversion, but the question asked for the answer to be rounded to three significant digits, making choice B, 7.51 km, the most precise and correct option. Choices C and D are incorrect conversions and do not match the correct conversion of 4.67 miles to kilometers.

4. Which of the following statements demonstrates a negative correlation between two variables?

Correct answer: C

Rationale: The correct answer is C. This statement demonstrates a negative correlation between two variables as it indicates that as tennis balls age, their bounce tends to decrease. In a negative correlation, as one variable increases, the other tends to decrease. Choices A, B, and D do not illustrate a negative correlation. Choice A describes a positive correlation, as playing baseball more is associated with having more hits. Choice B does not show a correlation but a general observation. Choice D also does not demonstrate a correlation; it simply states that older cars tend to have higher mileage, without implying a relationship between age and mileage.

5. Solve this equation: 2x+8=0

Correct answer: A

Rationale: To solve 2 ๐‘ฅ + 8 = 0 2x+8=0: Subtract 8 from both sides: 2 ๐‘ฅ = โˆ’ 8 2x=โˆ’8 Divide both sides by 2: ๐‘ฅ = โˆ’ 8 2 = โˆ’ 4 x= 2 โˆ’8 โ€‹ =โˆ’4 Therefore, the solution is ๐‘ฅ = โˆ’ 4 x=โˆ’4.

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