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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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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