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. How many feet are in a mile?

Correct answer: B

Rationale: The correct answer is B: 5,280 feet in a mile. This is a standard conversion used in the Imperial system of measurement. Choice A, 1,000 ft, is incorrect as it is a common misconception and not the accurate conversion. Choice C, 2,000 ft, is also incorrect. Choice D, 10,000 ft, is significantly higher than the actual conversion and is incorrect. Remember, when converting miles to feet, the accurate value is 5,280 feet in a mile.

3. 3(x-2)=12. Solve the equation above for x. Which of the following is the correct answer?

Correct answer: A

Rationale: To solve the equation 3(x-2)=12, first distribute the 3: 3x - 6 = 12. Next, isolate x by adding 6 to both sides: 3x = 18. Finally, divide by 3 to find x: x = 6. Therefore, the correct answer is A (6). Choice B (-2) is incorrect as it does not satisfy the equation. Choice C (-4) is also incorrect as it does not satisfy the equation. Choice D (2) is incorrect as it does not satisfy the equation either.

4. What is the GCF (greatest common factor)?

Correct answer: A

Rationale: The greatest common factor (GCF) of a set of numbers is the largest factor that all the numbers share. This factor represents the highest number that can evenly divide each of the numbers in the set without any remainder. Choice B, 'The smallest factor that all the numbers share,' is incorrect because the GCF is the greatest, not the smallest, factor. Choices C and D, 'The largest multiple that all the numbers share' and 'The smallest multiple that all the numbers share,' are also incorrect as the GCF refers to factors, not multiples.

5. Which statement about multiplication and division is true?

Correct answer: C

Rationale: In division, the dividend is the number being divided, the divisor is the number you are dividing by, and the quotient is the result. Multiplying the quotient by the divisor gives the original dividend. This is the reverse of the division operation. Therefore, the correct statement is that the product of the quotient and the divisor equals the dividend, making option C correct. Choices A and B provide incorrect relationships between the terms dividend, divisor, quotient, and product, making them inaccurate. Option D is a general statement that does not provide the correct relationship between multiplication and division terms.

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