Algebra 1 6-3 Complete Lesson: Solving Systems Using Elimination
By Matt Richardson
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Last updated almost 3 years ago
29 Questions
Note 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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Question 1
1.
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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Question 2
2.
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.
A.REI.5
A.REI.6
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Question 3
3.
Problem 1 Got It?
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Question 4
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Problem 1 Got It?
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Question 5
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Problem 2 Got It?
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Question 7
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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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Question 8
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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.
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Question 9
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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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Question 10
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Problem 4 Got It? Revise and solve the system using elimination. Show your work on the canvas.
A.REI.5
A.REI.6
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Question 11
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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.
A.REI.5
A.REI.6
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Question 12
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Problem 5 Got It?
Directions: Solve each system using elimination before checking your work by graphing using the embedded Desmos graphing calculator below.
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Question 13
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Question 14
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Question 15
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Question 16
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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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Question 17
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Reasoning: Explain how the Addition Property of Equality allows you to add equations.
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Question 18
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Writing: Explain how you would solve a system of equations using elimination.
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Question 19
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Review Lesson 6-2: Solve the system using substitution.
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Question 20
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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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Question 21
21.
Review Lesson 3-4: Solve the inequality. Show your work on the canvas.
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Question 22
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Review Lesson 3-4: Solve the inequality. Show your work on the canvas.
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Question 23
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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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Question 24
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Vocabulary Review: Which of the following does NOT describe a formula?
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Question 25
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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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Question 26
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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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Question 27
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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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Question 28
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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.
