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Direct and Inverse Variation (Grade 10)

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Direct and Inverse Variation

1. 
If x and y vary inversely, as y increases, what happens to the value of x?
  1. Increases
  2. Decreases
  3. Stays the same
2. 
Classify this equation as direct variation, inverse variation, or neither.
[math]y = 1/3 x[/math]
  1. Direct variation
  2. Inverse variation
  3. Neither
3. 
This equation represents a direct variation.
[math]2x=y[/math]
  1. True
  2. False
4. 
The equation represents a direct variation.
[math]6x+4=y[/math]
  1. True
  2. False
5. 
Which equation is a direct variation?
  1. [math]y = -0.7x[/math]
  2. [math]y = 21/x[/math]
  3. [math]y - x = 4[/math]
  4. [math]y = 3x + 2[/math]
6. 
The amount [math]x[/math] varies inversely to [math]y[/math]. Which equation expresses the given statement?
  1. [math]y=kx[/math]
  2. [math]x=ky[/math]
  3. [math]y=k/x[/math]
  4. [math]-x=k/y[/math]
7. 
Suppose y varies inversely with x and x = 12 when y = 3. What is the equation of the inverse variation?
  1. [math]y/x = 36[/math]
  2. [math]y = 12/3[/math]
  3. [math]y = 36/x[/math]
  4. [math]12 = 3/y[/math]
8. 
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
9. 
Suppose x varies inversely as y and x = 16 when y = 5. Find x when y = 20.
  1. 4
  2. 32
  3. 20
  4. 1
10. 
If y varies inversely as x and y = 8 when x = 3, find the value of x when y = 12.
  1. 8
  2. -8
  3. 2
  4. -2
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