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# Direct and Inverse Variation Questions - All Grades

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Grade 10 Direct and Inverse Variation
When the ratio of two variables is constant, their relationship can be described as
1. inversely proportional
2. interdependent
3. directly proportional
4. parallel
Grade 10 Direct and Inverse Variation
Grade 10 Direct and Inverse Variation CCSS: HSA-CED.A.2
Grade 9 Direct and Inverse Variation
Grade 9 Direct and Inverse Variation
Which equation is a direct variation?
1. $y = -0.7x$
2. $y = 21/x$
3. $y - x = 4$
4. $y = 3x + 2$
Grade 9 Direct and Inverse Variation
Grade 9 Direct and Inverse Variation CCSS: HSA-CED.A.2
Suppose y varies inversely with x and x = 12 when y = 3. What is the equation of the inverse variation?
1. $y/x = 36$
2. $y = 12/3$
3. $y = 36/x$
4. $12 = 3/y$
Grade 9 Direct and Inverse Variation
Grade 9 Direct and Inverse Variation CCSS: HSA-CED.A.2
Choose the equation that describes the variation: v varies directly with t; v = 16 when t = 2.
1. $v=kt$
2. $v=k/t$
3. $v=8t$
4. $v=8/t$
Grade 10 Direct and Inverse Variation
Grade 10 Direct and Inverse Variation CCSS: HSA-CED.A.2
The amount $x$ varies inversely to $y$. Which equation expresses the given statement?
1. $y=kx$
2. $x=ky$
3. $y=k/x$
4. $-x=k/y$
Grade 10 Direct and Inverse Variation CCSS: HSA-CED.A.2
Write the equation to describe the variation: L varies jointly with the square of x and the fourth root of y; L = 9 when x = 3 and y = 1.
1. $L=x^2 root4y$
2. $L=x^2 y^4$
3. $L=root2x root4y$
4. $x=L^2 root4y$
Grade 10 Direct and Inverse Variation CCSS: HSA-CED.A.2
y varies inversely as the cube of x. If y = 5 when x = 2, find y when x = 6.
1. $5/27$
2. $10/54$
3. $20/108$
4. $1 1/9$
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