Direct and Inverse Variation - Kuta Software
[Pages:4]Kuta Software - Infinite Algebra 2
Name___________________________________
Direct and Inverse Variation
Date________________ Period____
Determine whether the given equation represents a direct or inverse variation.
1) xy = 15
9 2) y =
x
13 3) y =
12x
4) y = 13x
5) -5x + y = 0
6) y = 4x
Find the constant of variation. 7) y = 3x
8) xy = 7
y 9) = 5
x
1 10) y =
9x
3 11) y = x
5
15 12) y =
x
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Worksheet by Kuta Software LLC
Solve each problem involving direct or inverse variation.
13) If y varies directly as x, and y = 6 when x = 15, find y when x = 2.
14) If y varies inversely as x, and y = 8 when x = 5, find y when x = 4.
15) If y varies directly as x, and y = 5 when x = 4, find y when x = 8.
16) If y varies directly as x2, and y = 10 when x = 2, find y when x = 3.
17) If y varies inversely as x, and y = 9 when x = 10, find y when x = 5.
18) If y varies inversely as x, and y = 4 when x = 12, find y when x = 2.
19) If y varies inversely as x, and y = 3 when x = 21, find y when x = 9.
20) If y varies inversely as x2, and y = 11 4
when x = 4, find y when x = 2.
21) If y varies directly as x, and y = 10 when x = 20, find y when x = 3.
22) If y varies directly as x, and y = 4 when x = 6, find y when x = 5.
Worksheet by Kuta Software LLC ?Q p2L0\2v2B FKiuktkaA NSroEfztjwFaMr^eH uLrLMCO.N t mA^lMlC IrziTgthntHsl krzeqsQeDrAvRezdj.D q aMoaBdKen iwsiTtDhW XISnNfxidnHiBtAeU FAklqgSeFbMr_ax c2L.
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Kuta Software - Infinite Algebra 2
Name___________________________________
Direct and Inverse Variation
Date________________ Period____
Determine whether the given equation represents a direct or inverse variation.
1) xy = 15 Inverse
9 2) y =
x Inverse
13 3) y =
12x Inverse
4) y = 13x Direct
5) -5x + y = 0 Direct
6) y = 4x Direct
Find the constant of variation. 7) y = 3x
3
8) xy = 7 7
y 9) = 5
x 5
3 11) y = x
5 3 5
1 10) y =
9x 1 9
15 12) y =
x 15
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-1-
Worksheet by Kuta Software LLC
Solve each problem involving direct or inverse variation.
13) If y varies directly as x, and y = 6 when x = 15, find y when x = 2.
14) If y varies inversely as x, and y = 8 when x = 5, find y when x = 4.
4
10
5
15) If y varies directly as x, and y = 5 when x = 4, find y when x = 8.
10
16) If y varies directly as x2, and y = 10 when x = 2, find y when x = 3.
45 2
17) If y varies inversely as x, and y = 9 when x = 10, find y when x = 5.
18
18) If y varies inversely as x, and y = 4 when x = 12, find y when x = 2.
24
19) If y varies inversely as x, and y = 3 when x = 21, find y when x = 9.
7
20) If y varies inversely as x2, and y = 11 4
when x = 4, find y when x = 2.
11
21) If y varies directly as x, and y = 10 when x = 20, find y when x = 3.
3 2
22) If y varies directly as x, and y = 4 when x = 6, find y when x = 5.
10 3
Create your own worksheets like this one with Infinite Algebra 2. Free trial available at Worksheet by Kuta Software LLC ?u ^2]0i2X2w bKqujtdak YSlotfgtkw_akryer rLFLFCZ.` P QAMlQlD er`iHgDhlt`sV frNeOsnerreviexds.J r EMOaZdkee DwOiKtuhC YIDnhfsiRnRictdef HAwlbgXeQb]rlav o2`.
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