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Mrs. Williams created the Unit 9 Test.  Some of the questions are worth 3 points and other questions are worth 2 points.  The test is worth a total of 36 points.  Write an equation to model this situation if x represents the questions worth 3 points and y represents the questions worth 2 points.

Question

Mrs. Williams created the Unit 9 Test.  Some of the questions are worth 3 points and other questions are worth 2 points.  The test is worth a total of 36 points.  Write an equation to model this situation if x represents the questions worth 3 points and y represents the questions worth 2 points.

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Solution

The equation to model this situation would be:

3x + 2y = 36

This equation represents the total points of the test (36 points), where x is the number of questions worth 3 points each and y is the number of questions worth 2 points each.

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