Final Exam Study Guide Show Work to Receive Full Credit

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What does the inequality -2x + 3 < 7 represent graphically?

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The inequality -2x + 3 < 7 represents a region on the number line where the values of x satisfy the condition. To graph it, first solve for x: -2x < 4, which gives x > -2. The graph will be a number line with an open circle at -2 and shading to the right.

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What is the difference between discrete and continuous data?

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Discrete data consists of distinct, separate values (e.g., number of students), while continuous data can take any value within a range (e.g., height, weight).

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How do you simplify the expression 2x^6y^12?

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To simplify, you combine like terms. The expression is already in its simplest form as it has no like terms to combine.

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What is an inequality?

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An inequality is a mathematical statement that compares two expressions, showing that one is less than, greater than, less than or equal to, or greater than or equal to the other.

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What does it mean for a function to be continuous?

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A function is continuous if there are no breaks, jumps, or holes in its graph. This means that for every point in the domain, the function has a corresponding value.

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What is the process for solving a linear inequality?

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To solve a linear inequality, isolate the variable on one side of the inequality sign, similar to solving an equation, and remember to reverse the inequality sign if you multiply or divide by a negative number.

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What is the significance of an open circle on a number line?

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An open circle indicates that the number at that point is not included in the solution set of an inequality.

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What is the difference between a term and a coefficient in algebra?

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A term is a single mathematical expression, which can be a number, variable, or the product of numbers and variables. A coefficient is a number that multiplies a variable in a term.