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Sample edHelper.com - LinearEquations Worksheet
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down 1. Solve each system of equations using any method. 8x + 15y = -296
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down 2. Find the minimum and maximum values of the objective quantity. 4x - 5y ![]() 13x - 2y ![]() 2x + 5y ![]() x + y ![]() f(x,y) = 10x - 4y Answer:
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down 3. Solve each system of equations using the elimination method. 13x + 11y = 259 19x + 4y = 137 Answer:
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down 4. Solve each system of equations using the elimination method. x + 8y = 196 9x - 4y = -288 Answer:
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down 5. Solve each system of equations. -5x + 2y + 4z = 25 -6x - 3y - 3z = -3 -x + 2y - z = -14 Answer:
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down 6. Solve each system by graphing. Find the vertices of the graph. 4x - y ![]() 3x - 4y ![]() 5x + 2y ![]() Answer:
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down 7. Solve each system of equations using any method. 17x - 4y = -99 4x + 7y = 207 Answer:
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down 8. Solve each system by graphing. Find the vertices of the graph. 3x - 5y ![]() 3x - y ![]() x - y ![]() Answer:
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down 9. Find the minimum and maximum values of the objective quantity. 3x + 2y ![]() 5x + 4y ![]() 2x - 5y ![]() 3x - 5y ![]() f(x,y) = -3x + 6y Answer:
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down 10. Solve each system of equations using the elimination method. 9x + 2y = 126
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down 11. Solve each system of equations. -5z = 10 x + y - 2z = -8 -8x - y - 10z = 60 Answer:
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down 12. Solve each system of equations using any method. 18y = 624 - 32x
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across 1. Find the minimum and maximum values of the objective quantity. x + y ![]() x + y ![]() 9x - 5y ![]() 5x - 2y ![]() f(x,y) = -4x - 4y Answer:
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across 2. Find the minimum and maximum values of the objective quantity. 2x + 5y ![]() 3x - 2y ![]() x - 7y ![]() f(x,y) = x - 3y Answer:
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across 4. Solve each system of equations using the elimination method.
15x + 7y = -318 Answer:
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across 6. Solve each system of equations. 4z = -4 3x + y - 6z = -20 5x + y - 8z = -32 Answer:
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across 7. Solve each system of equations using the substitution method.
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across 8. Solve each system of equations using any method. 13x - 9y = -167 8x + 5y = 245 Answer:
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across 9. Solve each system of equations using the substitution method.
x + 2y = -88 Answer:
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across 11. Solve each system of equations using the substitution method. 2x + y = -3 5x - 4y = -157 Answer:
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across 13. Solve each system by graphing. Find the vertices of the graph. x + 5y ![]() x - 2y ![]() 3x + y ![]() 2x + 3y ![]() Answer:
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across 14. Solve each system of equations. -7x + 7y - 12z = -110 -2x - 2y - 5z = -36 6x - y = 2 Answer:
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across 15. Find the minimum and maximum values of the objective quantity. 7x ![]() 2x - y ![]() 3x + 2y ![]() f(x,y) = -11x - y Answer:
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across 16. Solve each system by graphing. Find the vertices of the graph. 13x - 4y ![]() 4x + 3y ![]() 13x - 5y ![]() x + y ![]() Answer:
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across 17. Solve each system of equations using the substitution method. 9x + 2y = 229 18x - y = 583 Answer:
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across 18. Find the minimum and maximum values of the objective quantity. 2x - y ![]() x - y ![]() 5x + y ![]() f(x,y) = -11x - 3y Answer:
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Answer Key
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Sample edHelper.com - LinearEquations Worksheet
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