8HMath Unit 1 Study Guide Review

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No Solution

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How do you model the cost of 3 concert tickets that should be no more than $6 above or below $75?

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What does it mean if an equation has no solution?

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It means that there are no values for the variable that can satisfy the equation.

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What is an inequality?

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An inequality is a mathematical statement that compares two expressions and shows that one is greater than, less than, or not equal to the other.

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What is the absolute value function?

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The absolute value function, denoted as |x|, represents the distance of x from 0 on the number line, always yielding a non-negative result.

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What is the graphical representation of an absolute value inequality?

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It typically results in a V-shaped graph, where the vertex is at the point of equality.

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What does the term 'no solution' indicate in a system of equations?

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It indicates that the lines represented by the equations are parallel and do not intersect.

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What is the difference between a solution and a root in mathematics?

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A solution refers to the value(s) that satisfy an equation, while a root specifically refers to the value(s) that make a polynomial equal to zero.

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It represents the target amount TJ wants to spend on concert tickets.