6428 04 simplify the expression which of the following is correct
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ATI TEAS 7

TEAS Exam Math Practice

1. What is the result of (6.4)(2.8) รท 0.4? Which of the following is correct?

Correct answer: D

Rationale: To simplify the expression, first multiply 6.4 by 2.8 to get 17.92. Then, divide the result by 0.4 to find the final answer. Therefore, (6.4)(2.8) รท 0.4 equals 44.8. Choices A, B, and C are incorrect because they do not represent the correct result of the given expression.

2. A book has a width of 2.5 decimeters. What is the width of the book in centimeters?

Correct answer: B

Rationale: To convert decimeters to centimeters, we use the conversion factor that 1 decimeter is equal to 10 centimeters. Setting up the proportion: 1/0.1 = x/2.5. Solving for x gives 2.5 = 0.1x, x = 25. Therefore, the width of the book in centimeters is 25. Choices A, C, and D are incorrect because they do not correctly convert decimeters to centimeters. A and D have decimal placement errors, and C has an incorrect magnitude of centimeters.

3. 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 ร— 12 gallons = 360 miles per tank. Next, divide the total trip distance by the distance per tank: 1,800 miles รท 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.

4. How do you find the least common multiple?

Correct answer: A

Rationale: The correct way to find the least common multiple is to list all the multiples of each number and then identify the smallest common multiple. Choice A is correct because it describes the correct process. Listing factors, as suggested in choice B, helps in finding the greatest common factor, not the least common multiple. Dividing the largest number by the smallest, as mentioned in choice C, does not help find the least common multiple. Multiplying the two numbers together, as stated in choice D, results in their least common multiple when the numbers have no common factors.

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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