6.6C - Algebraic Representations

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What are independent values in a function?

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Independent values are the input values (often represented as x) that determine the output values (y) in a function.

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CCSS.8.F.A.1

CCSS.HSF.IF.A.1

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What is the equation to find the cost of purchasing 12 CDs if each CD costs $8?

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CCSS.6.EE.C.9

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This equation represents a linear relationship where for every unit increase in x, y increases by 40.

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CCSS.8.EE.B.5

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You can create a table of values by substituting different x values into the equation to find corresponding y values.

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CCSS.8.F.A.1

CCSS.HSF.IF.A.1

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Which equation represents a direct variation?

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The slope is 5, indicating that for every 1 unit increase in x, y increases by 5 units.

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CCSS.8.EE.B.5

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What does the term 'dependent variable' mean?

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The dependent variable is the output value (often represented as y) that depends on the independent variable (x).

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CCSS.6.EE.C.9

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How can you determine the cost of tickets if adult tickets cost $10 and children's tickets cost $5?

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CCSS.6.EE.C.9

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What is a linear equation?

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CCSS.8.F.B.4

CCSS.HSF.LE.A.2

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What does the y-intercept represent in a linear equation?

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The y-intercept is the point where the line crosses the y-axis, representing the value of y when x is 0.