simplify the expression 2x 3x 5
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ATI TEAS 7

TEAS Test Math Questions

1. Simplify the expression: 2x + 3x - 5.

Correct answer: A

Rationale: To simplify the expression 2๐‘ฅ + 3๐‘ฅ - 5, follow these steps: Identify and combine like terms. The terms 2๐‘ฅ and 3๐‘ฅ are both 'like terms' because they both contain the variable ๐‘ฅ. Add the coefficients of the like terms: 2๐‘ฅ + 3๐‘ฅ = 5๐‘ฅ. Simplify the expression. After combining the like terms, the expression becomes 5๐‘ฅ - 5, which includes the simplified term 5๐‘ฅ and the constant -5. Thus, the fully simplified expression is 5๐‘ฅ - 5, making Option A the correct answer. This method ensures all terms are correctly simplified by combining similar elements and retaining constants.

2. A student gets 42 questions out of 48 correct on a quiz. What is the percentage of questions that the student answered correctly?

Correct answer: D

Rationale: To find the percentage of questions answered correctly, divide the number of correct questions by the total number of questions: 42/48 = 0.875. Multiply the result by 100 to express it as a percentage, which gives 87.5%. Therefore, the correct answer is 87.50%. Choice A (1.14%) is incorrect as it does not reflect the correct percentage. Choices B (82.50%) and C (85.00%) are also incorrect as they do not align with the calculation based on the given information.

3. During January, Dr. Lewis worked 20 shifts. During February, she worked three times as many shifts as she did during January. During March, she worked half the number of shifts she worked during February. Which equation below describes the number of shifts Dr. Lewis worked in March?

Correct answer: B

Rationale: During January, Dr. Lewis worked 20 shifts. Shifts for January = 20. During February, she worked three times as many shifts as she did during January. Shifts for February = (20)(3) = 60. During March, she worked half the number of shifts she worked in February. Shifts for March = (60)(1/2) = 30. Therefore, the correct equation to describe the number of shifts Dr. Lewis worked in March is 'shifts = (20)(3)(1/2)', representing the calculation based on the given scenario. Choices A, C, and D do not accurately represent the correct mathematical relationship between the shifts worked in the different months, making them incorrect.

4. University X requires some of its nursing students to take an exam before being admitted into the nursing program. In this year's class, the nursing students were required to take the exam, and all of those who took the exam passed. If this year's class has 200 students, how many students passed the exam?

Correct answer: B

Rationale: Since all nursing students who took the exam passed, it means 100% of the students who took the exam passed. As the total number of students in this year's class is 200, the number of students who passed the exam would be 100% of 200, equaling 200 * 100% = 200. Therefore, 200 students passed the exam.

5. In the town of Ellsford, there are approximately 1,450 residents who attend church weekly. If around 400 of them attend Catholic Churches, what percentage of churchgoers in Ellsford attends Catholic Churches?

Correct answer: B

Rationale: To find the percentage of churchgoers who attend Catholic Churches, divide the number of Catholic churchgoers by the total number of churchgoers and then multiply by 100. (400 รท 1,450) ร— 100 โ‰ˆ 27.59%, which rounds to 28%.

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