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Direct variation worksheet pdf

Direct variation worksheet 2026

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The document is a worksheet focused on direct variation, asking students to determine if given equations represent direct variations and to find the constant of variation (k) when applicable. It includes exercises for solving equations, identifying points and tables that exemplify direct variation, and writing equations based on provided points. Additionally, it presents real-world scenarios involving weight and force that vary directly with mass.

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Click ‘Get Form’ to open the direct variation worksheet in the editor.
Begin by reviewing each equation provided. For equations like '2y = 5x + -1', determine if they fit the form y = kx. If they do, identify the constant of variation (k).
For equations that do not represent direct variation, provide a brief explanation as to why they fail to meet the criteria.
In the section for identifying points of direct variation, list four additional points that align with Point A's relationship.
Evaluate the tables and graphs presented. Confirm if they exemplify direct variation by checking if y/x remains consistent across all points.
When writing equations based on given points, calculate k by dividing y by x and substitute it back into y = kx.

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How do you calculate direct variation?

Direct Variation Formula: y = kx If x is not equal to zero then the value of the constant of proportionality can be given as k = y/x. Thus, the ratio of these two variables is always a constant number. Another way of expressing the direct variation equation is x = y / k.

Is 8x 9y 10 a direct variation?

No. In the equation 8x + 9y = 10, y does not vary directly with x.

Is 5x =- 3y a direct variation?

Yes, the equation 5x = -3y represents a direct variation. Hence, the constant of variation for the given equation is -0.6.

Is 3y + 7 + 10x a direct variation?

No. In order to be a direct variation, the line must go through the origin, (0,0) . Convert 3y7=10x to slope-intercept form. Subtract 7 from both sides.

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Direct variation worksheet 2026

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How do you calculate direct variation?

Is 8x 9y 10 a direct variation?

Is 5x =- 3y a direct variation?

Is 3y + 7 + 10x a direct variation?

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