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?
- Increases
- Decreases
- Stays the same
2.
Classify this equation as direct variation, inverse variation, or neither.
[math]y = 1/3 x[/math]
[math]y = 1/3 x[/math]
- Direct variation
- Inverse variation
- Neither
3.
This equation represents a direct variation.
[math]2x=y[/math]
[math]2x=y[/math]
- True
- False
4.
The equation represents a direct variation.
[math]6x+4=y[/math]
[math]6x+4=y[/math]
- True
- False
5.
Which equation is a direct variation?
- [math]y = -0.7x[/math]
- [math]y = 21/x[/math]
- [math]y - x = 4[/math]
- [math]y = 3x + 2[/math]
6.
The amount [math]x[/math] varies inversely to [math]y[/math]. Which equation expresses the given statement?
- [math]y=kx[/math]
- [math]x=ky[/math]
- [math]y=k/x[/math]
- [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?
- [math]y/x = 36[/math]
- [math]y = 12/3[/math]
- [math]y = 36/x[/math]
- [math]12 = 3/y[/math]
8.
If y varies inversely with x, and y = 40 when x = 16, find x when y = -5.
- 127
- 128
- -128
- -127
9.
Suppose x varies inversely as y and x = 16 when y = 5. Find x when y = 20.
- 4
- 32
- 20
- 1
10.
If y varies inversely as x and y = 8 when x = 3, find the value of x when y = 12.
- 8
- -8
- 2
- -2
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