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Tenth Grade (Grade 10) Direct and Inverse Variation Questions

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Grade 10 Direct and Inverse Variation
Classify this equation as direct variation, inverse variation, or neither.
y=13x
  1. Direct variation
  2. Inverse variation
  3. Neither
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 CCSS: HSA-CED.A.2
If y varies inversely with x, and y = 40 when x = 16, find x when y = -5.
  1. 127
  2. 128
  3. -128
  4. -127
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=kx
  4. -x=ky
Grade 10 Direct and Inverse Variation
If x and y vary inversely, as y increases, what happens to the value of x?
  1. Increases
  2. Decreases
  3. Stays the same
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. 527
  2. 1054
  3. 20108
  4. 119
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=x24√y
  2. L=x2y4
  3. L=2√x4√y
  4. x=L24√y