Algebra 2 3-2 Guided Practice: Solving Systems Algebraically
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by Matthew Richardson
| 12 Questions
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Solve It! What whole dollar amount of one-day sales would make it more worthwhile to work at Store B?
Any amount over $215
Any amount over $511
Any amount over $171
Any amount over $313
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Take Note: Solving a system of linear equations by graphing does not always provide exact solutions. Sometimes the lines do not intersect nicely at integer values.
Solving systems algebraically, including using the substitution method, provides precise solutions.
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Take Note: Place the following steps for solving a system of linear equations using the substitution method in the correct chronological order.
  1. Substitute the value of the second variable into one of the original equations to find the value of the first variable.
  2. Check your final solution by substituting it into both of the original equations.
  3. Substitute the expression for that variable in the other equation and then solve for the second variable.
  4. Isolate a variable in one of the equations.
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Problem 1 Got It?
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Problem 2 Got It?
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Problem 3 Got It?
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Take Note: Define equivalent systems.
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Problem 4 Got It? What is the solution of this system of equations?

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(5, 2)
(3, -5)
(-2, 3)
(-3, 2)
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Take Note: Describe how, when solving a system, you can recognize that the system is always true and has infinitely many solutions.
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Take Note: Describe how, when solving a system, you can recognize that the system is always false and has no solutions.
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Problem 5 Got It?
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Problem 5 Got It?
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Take Note: Summarize the mathematical content of this lesson. What topics, ideas, and vocabulary were introduced?
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