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Understanding Inverse Variation in Algebra: Practice Problems and Solutions

This homework assignment focuses on inverse variation problems, guiding students through essential concepts. Students are required to review for their quiz, complete specific workbook pages, and solve various problems related to inverse variation equations. These include determining if the provided scenarios exemplify inverse variation and finding equations based on given values of x and y. Completing these tasks will enhance their comprehension and mastery of inverse relationships in mathematics, setting a solid foundation for future concepts.

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Understanding Inverse Variation in Algebra: Practice Problems and Solutions

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  1. February 23, 2012 1) Write your homework in your agenda: Review for your Quiz 2) Take out your homework and leave it on your desk. 3) Open your CRCT wkbk to p. 57 and complete # 14 -19.

  2. Is this an inverse variation?

  3. Find an equation of inverse variation. y is -3 when x is -0.4 y = 1.2/x

  4. Is this an inverse variation?

  5. Find an equation of inverse variation. y is 2/3 when x is 3 y = 2/x

  6. Is this an inverse variation?

  7. Solve the variation problem X varies inversely with y. If x = 1/6 when y = 8, what is the value of y when x = 12? y = 16

  8. Find an equation of inverse variation. y is 1/4 when x is 76 y = 19/x

  9. Is this an inverse variation?

  10. Solve the variation problem X varies inversely with y. If x = 8 when y = 12, what is the value of y when x = 4? y = 24

  11. Find an equation of inverse variation. y is ½ when x is 18 y = 9/x

  12. Solve the variation problem X varies inversely with y. If x = 2 when y = 3, what is the value of y when x = 8? y = 3/4

  13. Is this an inverse variation?

  14. Solve the variation problem X varies inversely with y. If x = 16 when y = -4, what is the value of y when x = 8? y = -8

  15. Is this an inverse variation?

  16. Find an equation of inverse variation. y is 7 when x is 8 y = 56/x

  17. Is this an inverse variation?

  18. Find an equation of inverse variation. y is 0.8 when x is 4 y = 3.2/x

  19. Solve the variation problem X varies inversely with y. If x = ½ when y = 6, what is the value of y when x = 2? y = 3/2

  20. Is this an inverse variation?

  21. Is this an inverse variation?

  22. Find an equation of inverse variation. y is -2 when x is 4 y = -8/x

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