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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.
$y = 1/3 x$
1. Direct variation
2. Inverse variation
3. Neither
3.
This equation represents a direct variation.
$2x=y$
1. True
2. False
4.
The equation represents a direct variation.
$6x+4=y$
1. True
2. False
5.
Which equation is a direct variation?
1. $y = -0.7x$
2. $y = 21/x$
3. $y - x = 4$
4. $y = 3x + 2$
6.
The amount $x$ varies inversely to $y$. Which equation expresses the given statement?
1. $y=kx$
2. $x=ky$
3. $y=k/x$
4. $-x=k/y$
7.
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. $12 = 3/y$
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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