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What are systems of equations?
Remember what you learned in Life Science about organ systems.
Systems of equations are when you have a problem that involves 2 or more equations.
The solution must work for all the equations.
Remember what you learned in Life Science about organ systems.
Systems of equations are when you have a problem that involves 2 or more equations.
The solution must work for all the equations.
What kind of solutions can systems of equations have?
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Review of changing from Standard Form to Slope Intercept Form.
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Solving Systems of equations by Graphing
This video is on solving systems of equation by graphing. Can be a quick way to solve if you have graph paper. Here are a couple more resources also. Copy and paste it to your browser. http://www.shmoop.com/video/solving-systems-of-equations-by-graphing https://learnzillion.com/lesson_plans/9008-solve-systems-of-equations-graphing-1 |
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Solving by substitution.
Very good method if you know what one of the variables is. Must have variable= The second video shows how you can get rid of fractions in the problem if you want. Here are a couple more resources also. Copy and paste it to your browser. http://www.purplemath.com/modules/systlin4.htm http://www.regentsprep.org/regents/math/algebra/ae3/algsys.htm http://www.coolmath.com/algebra/12-2x2-systems-of-equations/02-solving-by-substitution-01 Additional practice with answer key http://www.kutasoftware.com/FreeWorksheets/Alg1Worksheets/Systems%20of%20Equations%20Substitution.pdf http://www.math-aids.com/Algebra/Pre-Algebra/Systems/Solve_Equations.html http://www.mathworksheets4kids.com/equations/systems.html |
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Solving Systems by Elimination
Very good method if both equations are in standard form. Remember EVERYTHING must be lined up. Here are a couple more resources also. Copy and paste it to your browser. http://www.coolmath.com/algebra/12-2x2-systems-of-equations/03-solving-by-elimination-addition-01 http://www.purplemath.com/modules/systlin5.htm Additional Practice with answers http://cdn.kutasoftware.com/Worksheets/Alg1/Systems%20of%20Equations%20Elimination.pdf http://www.math-aids.com/Algebra/Pre-Algebra/Systems/Solve_Equations.html http://www.mathworksheets4kids.com/equations/systems.html |
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Checking to see if a point is a solution to a system of equations.
Remember, to be a solution to a system of equations, it must work for all equations. This is how you check to see if an ordered pair is a solution. |
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Word Problems
Several things to remember when writing word problems.
-Define the variables, be specific -Solve by any method you choose -Write your answer in sentence form -Make sure your answer makes sense with the word problem Additional Resources https://learnzillion.com/lesson_plans/5532-solving-word-problems-by-using-systems-of-equations |
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Unit 6 Study guide
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