Algebra 1 6-4 Complete Lesson: Applications of Linear Systems

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22 questions

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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.

A.REI.6

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A.REI.6

Algebra 1 6-4 Complete Lesson: Applications of Linear Systems

Algebra 1 6-4 Complete Lesson: Applications of Linear Systems

Solve It! The taller candle burns at a rate of 1.15 in. per hour. The shorter candle burns at a rate of 0.75 in. per hour. After how many hours will they be the same height?

Problem 1 Got It? A puzzle expert wrote a new sudoku puzzle book. His initial costs are $864. Binding and packaging each book costs $.80. The price of the book is $2. How many copies must be sold to break even?

Problem 2 Got It? The zoo has two water tanks that are leaking. One tank contains 10 gal of water and is leaking at a constant rate of 2 gal/h. The second tank contains 6 gal of water and is leaking at a constant rate of 4 gal/h. When will the tanks have the same amount of water? Explain.

Problem 3 Got It?

Problem 3 Got It?

Vocabulary: What is the relationship between income and expenses before a break-even point is reached? What is the relationship between income and expenses after a breakeven point is reached?

Which method would you use to solve the following system?

Reasoning: One brand of cranberry-apple drink is 15% cranberry juice. Another brand is 40% cranberry juice. You would like to combine the brands to make a drink that is 25% cranberry juice. Without calculating, which brand of juice will you need more of to make your drink? Explain.

Review Lesson 6-3: Solve the system using elimination. Show your work on the canvas.

Review Lesson 6-3: Check your work. Graph the system you solved using elimination in the previous item. Use the graph to check the solution you found.

Review Lesson 3-4: Solve and graph the inequality. Show your work on the canvas and check your solution.

Review Lesson 3-4: Solve and graph the inequality. Show your work on the canvas and check your solution.

Use Your Vocabulary: Write the ordered pair for the point of intersection in this format: (-2, 7). If there is no point of intersection, write none.

Use Your Vocabulary: Write the ordered pair for the point of intersection in this format: (-2, 7). If there is no point of intersection, write none.

Use Your Vocabulary: Write the ordered pair for the point of intersection in this format: (-2, 7). If there is no point of intersection, write none.

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.

Reflection: Math Success

Solve It! The taller candle burns at a rate of 1.15 in. per hour. The shorter candle burns at a rate of 0.75 in. per hour. After how many hours will they be the same height?

Problem 1 Got It? A puzzle expert wrote a new sudoku puzzle book. His initial costs are $864. Binding and packaging each book costs $.80. The price of the book is $2. How many copies must be sold to break even?

Problem 2 Got It? The zoo has two water tanks that are leaking. One tank contains 10 gal of water and is leaking at a constant rate of 2 gal/h. The second tank contains 6 gal of water and is leaking at a constant rate of 4 gal/h. When will the tanks have the same amount of water? Explain.

Problem 3 Got It?

Problem 3 Got It?

Vocabulary: What is the relationship between income and expenses before a break-even point is reached? What is the relationship between income and expenses after a breakeven point is reached?

Which method would you use to solve the following system?

Reasoning: One brand of cranberry-apple drink is 15% cranberry juice. Another brand is 40% cranberry juice. You would like to combine the brands to make a drink that is 25% cranberry juice. Without calculating, which brand of juice will you need more of to make your drink? Explain.

Review Lesson 6-3: Solve the system using elimination. Show your work on the canvas.

Review Lesson 6-3: Check your work. Graph the system you solved using elimination in the previous item. Use the graph to check the solution you found.

Review Lesson 3-4: Solve and graph the inequality. Show your work on the canvas and check your solution.

Review Lesson 3-4: Solve and graph the inequality. Show your work on the canvas and check your solution.

Use Your Vocabulary: Write the ordered pair for the point of intersection in this format: (-2, 7). If there is no point of intersection, write none.

Use Your Vocabulary: Write the ordered pair for the point of intersection in this format: (-2, 7). If there is no point of intersection, write none.

Use Your Vocabulary: Write the ordered pair for the point of intersection in this format: (-2, 7). If there is no point of intersection, write none.

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.

Reflection: Math Success

Algebra 1 6-4 Complete Lesson: Applications of Linear Systems

Algebra 1 6-4 Complete Lesson: Applications of Linear Systems

Solve It! The taller candle burns at a rate of 1.15 in. per hour. The shorter candle burns at a rate of 0.75 in. per hour. After how many hours will they be the same height?

Problem 1 Got It? A puzzle expert wrote a new sudoku puzzle book. His initial costs are $864. Binding and packaging each book costs $.80. The price of the book is $2. How many copies must be sold to break even?

Problem 2 Got It? The zoo has two water tanks that are leaking. One tank contains 10 gal of water and is leaking at a constant rate of 2 gal/h. The second tank contains 6 gal of water and is leaking at a constant rate of 4 gal/h. When will the tanks have the same amount of water? Explain.

Problem 3 Got It?

Problem 3 Got It?

Vocabulary: What is the relationship between income and expenses before a break-even point is reached? What is the relationship between income and expenses after a breakeven point is reached?

Which method would you use to solve the following system?

Reasoning: One brand of cranberry-apple drink is 15% cranberry juice. Another brand is 40% cranberry juice. You would like to combine the brands to make a drink that is 25% cranberry juice. Without calculating, which brand of juice will you need more of to make your drink? Explain.

Review Lesson 6-3: Solve the system using elimination. Show your work on the canvas.

Review Lesson 6-3: Check your work. Graph the system you solved using elimination in the previous item. Use the graph to check the solution you found.

Review Lesson 3-4: Solve and graph the inequality. Show your work on the canvas and check your solution.

Review Lesson 3-4: Solve and graph the inequality. Show your work on the canvas and check your solution.

Use Your Vocabulary: Write the ordered pair for the point of intersection in this format: (-2, 7). If there is no point of intersection, write none.

Use Your Vocabulary: Write the ordered pair for the point of intersection in this format: (-2, 7). If there is no point of intersection, write none.

Use Your Vocabulary: Write the ordered pair for the point of intersection in this format: (-2, 7). If there is no point of intersection, write none.

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.

Reflection: Math Success

Solve It! The taller candle burns at a rate of 1.15 in. per hour. The shorter candle burns at a rate of 0.75 in. per hour. After how many hours will they be the same height?

Problem 1 Got It? A puzzle expert wrote a new sudoku puzzle book. His initial costs are $864. Binding and packaging each book costs $.80. The price of the book is $2. How many copies must be sold to break even?

Problem 2 Got It? The zoo has two water tanks that are leaking. One tank contains 10 gal of water and is leaking at a constant rate of 2 gal/h. The second tank contains 6 gal of water and is leaking at a constant rate of 4 gal/h. When will the tanks have the same amount of water? Explain.

Problem 3 Got It?

Problem 3 Got It?

Vocabulary: What is the relationship between income and expenses before a break-even point is reached? What is the relationship between income and expenses after a breakeven point is reached?

Which method would you use to solve the following system?

Reasoning: One brand of cranberry-apple drink is 15% cranberry juice. Another brand is 40% cranberry juice. You would like to combine the brands to make a drink that is 25% cranberry juice. Without calculating, which brand of juice will you need more of to make your drink? Explain.

Review Lesson 6-3: Solve the system using elimination. Show your work on the canvas.

Review Lesson 6-3: Check your work. Graph the system you solved using elimination in the previous item. Use the graph to check the solution you found.

Review Lesson 3-4: Solve and graph the inequality. Show your work on the canvas and check your solution.

Review Lesson 3-4: Solve and graph the inequality. Show your work on the canvas and check your solution.

Use Your Vocabulary: Write the ordered pair for the point of intersection in this format: (-2, 7). If there is no point of intersection, write none.

Use Your Vocabulary: Write the ordered pair for the point of intersection in this format: (-2, 7). If there is no point of intersection, write none.

Use Your Vocabulary: Write the ordered pair for the point of intersection in this format: (-2, 7). If there is no point of intersection, write none.

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.

Reflection: Math Success

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.

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.