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Direct and Inverse Variation Questions - All Grades

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Grade 9 Direct and Inverse Variation
If y varies directly as x and y = 32 when x = 8, find y when x = 12.
  1. y = 48
  2. y = 3.2
  3. y = 21.3
  4. y = 4
Grade 9 Direct and Inverse Variation
Which relationship is a direct variation?
  1. x = 1, 2, 3, 4 and y = -1, 0, 1, 2
  2. x = 1, 2, 3, 4 and y = 0, -1, -2, -3
  3. x = 1, 2, 3, 4 and y = 3, 5, 7, 9
  4. x = 1, 2, 3, 4 and y = 3, 6, 9, 12
Grade 9 Direct and Inverse Variation
Which of the following equations is an example of direct variation?
  1. 3y = 6x + 1
  2. 2y = 12x
  3. 2y + x = 7
  4. All of the above represent direct variation.
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 9 Direct and Inverse Variation
Which equation is a direct variation?
  1. y=-0.7x
  2. y=21x
  3. y-x=4
  4. y=3x+2
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=kt
  3. v=8t
  4. v=8t
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. yx=36
  2. y=123
  3. y=36x
  4. 12=3y
Grade 9 Direct and Inverse Variation
This equation represents a direct variation.
2x=y
  1. True
  2. False
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 11 Direct and Inverse Variation
If y∝x and y = 2 when x = 4, find y when x = 16.
  1. 0.5
  2. 4
  3. 6
  4. 8
Grade 9 Direct and Inverse Variation
The equation represents a direct variation.
6x+4=y
  1. True
  2. False
Grade 9 Direct and Inverse Variation
This equation represents a direct variation.
y8=x
  1. True
  2. False
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
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