add and express in reduced form
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Nursing Elites

ATI TEAS 7

TEAS Test Sample Math Questions

1. What is the result of adding 1/6 and 1/2, expressed in reduced form?

Correct answer: B

Rationale: To add 1/6 and 1/2, you need a common denominator, which is 6. So, 1/6 + 3/6 = 4/6. Simplifying 4/6 gives 2/3, which is the correct answer (1/3). Choices A, C, and D are incorrect as they do not represent the correct sum of the fractions 1/6 and 1/2.

2. Robert is planning to drive 1,800 miles on a cross-country trip. If his car gets 30 miles per gallon and his tank holds 12 gallons of gas, how many tanks of gas will he need to complete the trip?

Correct answer: B

Rationale: To find out how many tanks of gas Robert needs for the 1,800-mile trip, first, we calculate the distance his car can travel on a full tank: 30 miles per gallon × 12 gallons = 360 miles per tank. Next, divide the total trip distance by the distance per tank: 1,800 miles ÷ 360 miles per tank = 5 tanks. Therefore, Robert will need 5 tanks of gas to complete the cross-country trip. Choices A, C, and D are incorrect as they do not accurately calculate the number of tanks needed based on the given information.

3. Andy has already saved $15. He plans to save $28 per month. Which of the following equations represents the amount of money he will have saved?

Correct answer: A

Rationale: The correct equation to represent the amount of money Andy will have saved is y = 15 + 28x. This is because Andy has already saved $15 and plans to save an additional $28 per month. Therefore, the total amount he will have saved can be calculated by adding the initial $15 to the monthly savings of $28 (28x), resulting in y = 15 + 28x. Choices B, C, and D do not correctly account for the initial $15 that Andy has saved and therefore do not represent the total amount correctly.

4. Which statement about the following set is true? {60, 5, 18, 20, 37, 37, 11, 90, 72}

Correct answer: D

Rationale: To find the median, we first need to arrange the set in ascending order: {5, 11, 18, 20, 37, 37, 60, 72, 90}. The median is the middle value, which is 37 in this case. The mean is calculated by adding all numbers and dividing by the total count, which gives a mean greater than 37. Therefore, the statement that the median is less than the mean is correct. Choice A is incorrect because the median and mean are not equal in this set. Choice B is incorrect as the mean is greater than the mode in this set. Choice C is incorrect as the mode is 37, which is equal to the median, not greater.

5. A couple dining at a restaurant receives a bill for $28.40. They wish to leave a 10% tip. Which of the following is the estimated gratuity?

Correct answer: D

Rationale: To calculate a 10% tip on a bill of $28.40, you would first find 10% of $28.40, which is $2.84. Since you typically round up when leaving a tip, the estimated gratuity would be $3.00. Option A is incorrect as it is too high for a 10% tip. Option B is incorrect as it is too high. Option C is incorrect as it is too low for a 10% tip. Therefore, the correct answer is $3.00.

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