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Direct variation worksheet pdf

Direct variation worksheet 2025

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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 data. Additionally, it presents real-world scenarios involving weight and force in relation to mass, requiring students to formulate equations based on direct variation principles.

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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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