Algebra 1 6-3 Complete Lesson: Solving Systems Using Elimination

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by Matthew Richardson

| 29 QuestionsNote from the author:

A complete formative lesson with embedded slideshow, mini lecture screencasts, checks for understanding, practice items, mixed review, and reflection. I create these assignments to supplement each lesson of Pearson's Common Core Edition Algebra 1, Algebra 2, and Geometry courses. See also mathquest.net and twitter.com/mathquestEDU.

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Solve It! A cafeteria sells fresh fruit by weight. All apples weigh the same, and all oranges weigh the same. What is the weight of an apple? Enter your response using the same format shown on the scales, with a space between the measurement and oz.

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Solve It! In this same scenario, what is the weight of an orange? Enter your response using the same format shown on the scales, with a space between the measurement and oz.

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Problem 1 Got It?

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Problem 1 Got It?

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Problem 2 Got It?

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Problem 3 Got It? Revise and solve the system using elimination. Show your work on the canvas.

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Problem 3 Got It? Is the solution of the revised system also the solution of the original system? If not, consider checking your work.

No, the solution only applies to the revised system.

Yes, the solution applies to both systems.

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Problem 4 Got It? How can you use the Multiplication Property of Equality to change an equation in the system below in order to solve it using elimination?

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Problem 4 Got It? Revise and solve the system using elimination. Show your work on the canvas.

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Problem 4 Got It? Is the solution of the revised system also the solution of the original system? If not, consider checking your work.

No, the solution only applies to the revised system.

Yes, the solution applies to both systems.

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Problem 5 Got It?

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Directions: Solve each system using elimination before checking your work by graphing using the embedded Desmos graphing calculator below.

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Vocabulary: If you add two equations in two variables and the sum is an equation in one variable, what method are you using to solve the system? Explain.

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Reasoning: Explain how the Addition Property of Equality allows you to add equations.

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Writing: Explain how you would solve a system of equations using elimination.

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Review Lesson 6-2: Solve the system using substitution.

(3, 2)

(-1, 16)

(7, 3.5)

(10, 5)

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Review Lesson 6-2: Solve the system using substitution.

Enter your response in this format: (5, 3)

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Review Lesson 3-4: Solve the inequality. Show your work on the canvas.

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Review Lesson 3-4: Solve the inequality. Show your work on the canvas.

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Review Lesson 2-4: Two trains run on two sets of parallel tracks. The first train leaves a city 1/2 h before the second train. The first train travels at 55 mi/h. The second train travels at 65 mi/h. How long does it take for the second train to pass the first train? Round your answer to the nearest whole hour and enter only a number.

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Vocabulary Review: Which of the following does NOT describe a formula?

a fixed method for doing something

a constant

a rule or principle

a recipe or prescription

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Use Your Vocabulary: Complete the sentence with the word elimination or one of its other word forms. Enter only 1 word as your response.

The city council will not __?__ funding for the public library.

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Use Your Vocabulary: Complete the sentence with the word elimination or one of its other word forms. Enter only 1 word as your response.

The __?__ of the dance portion of the contest was disappointing.

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Use Your Vocabulary: Complete the sentence with the word elimination or one of its other word forms. Enter only 1 word as your response.

The new floor cleaner is great for __?__ dirt.

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Notes: Take a clear picture or screenshot of your Cornell notes for this lesson. Upload it to the canvas. Zoom and pan as needed.

For a refresher on the Cornell note-taking system, click here.

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Reflection: Math Success

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