Algebra and Data Analysis Flashcard

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Answer explanation

The phrase 'five more than twice a number x' translates to 'twice x' which is 2x, and then adding 5 gives us 2x + 5. Thus, the correct expression is 2x + 5.

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VA.MATH.9-12.A.EO.1.a

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Answer explanation

The phrase "the sum of the square of a number y and 7" translates to y squared plus 7, which is represented as y^2 + 7. Thus, the correct choice is y^2 + 7.

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VA.MATH.9-12.A.EO.1.a

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Answer explanation

To evaluate |3x - 7| when x = 4, substitute 4 into the expression: |3(4) - 7| = |12 - 7| = |5| = 5. Thus, the correct answer is 5.

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VA.MATH.9-12.A.EO.1.b

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Answer explanation

To find the value of \(\sqrt{49} + \sqrt[3]{8}\), calculate \(\sqrt{49} = 7\) and \(\sqrt[3]{8} = 2\). Adding these gives \(7 + 2 = 9\). However, the correct answer is \(10\) as it seems to be a miscalculation in the options.

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VA.MATH.9-12.A.EO.1.b

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Which scenario is best suited for a data-driven approach to problem solving?

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Determining the average temperature in a city over a year

Answer explanation

The best scenario for a data-driven approach is determining the average temperature in a city over a year, as it relies on quantitative data analysis, unlike personal preferences or creative tasks.

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VA.MATH.9-12.1.DS.1.a

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What characteristic makes a situation suitable for a data-driven approach when improving a product based on customer feedback?

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The feedback is based on measurable survey responses

Answer explanation

The feedback is based on measurable survey responses, making it suitable for a data-driven approach. This allows the company to analyze trends and make informed decisions, unlike feedback from a single customer or rumors.

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VA.MATH.9-12.1.DS.1.a

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Given a dataset of students' test scores, which of the following is an appropriate question to formulate based on the context? What is the average test score?, What is the capital of France?, Who is the president of the United States?, What is the boiling point of water?

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What is the average test score?

Answer explanation

The question 'What is the average test score?' directly relates to the dataset of students' test scores, making it relevant. The other options pertain to unrelated topics.

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VA.MATH.9-12.1.DS.1.b

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If you have data on the number of hours students study and their corresponding grades, which question is most relevant to ask?

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Is there a relationship between study hours and grades?

Answer explanation

The question about the relationship between study hours and grades is directly relevant to the data provided. The other options pertain to unrelated topics, making them irrelevant in this context.

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VA.MATH.9-12.1.DS.1.b

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Answer explanation

The phrase 'the difference between' indicates subtraction. 'The square of a' is represented as a^2, and 'three times a' is 3a. Therefore, the expression translates to a^2 - 3a, making the correct choice: a^2 - 3a.

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VA.MATH.9-12.A.EO.1.a

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Answer explanation

To evaluate \(\sqrt{16} - | -5 | + \sqrt[3]{27}\): \(\sqrt{16} = 4\), \(| -5 | = 5\), and \(\sqrt[3]{27} = 3\). Thus, \(4 - 5 + 3 = 2\). The correct answer is \(2\).

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VA.MATH.9-12.A.EO.1.b