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Algebra 1 7-4 Complete Lesson: Division Properties of Exponents

By Matt Richardson
Last updated over 2 years ago
28 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.
1.

Solve It! A machine makes wooden dowels by removing material from a block of wood as shown in the diagram. What percent of the wood does the maching remove from the original piece of wood to form the dowel?

2.

Problem 1 Got It?

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3.

Problem 1 Got It?

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4.

Problem 1 Got It?

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5.

Problem 1 Got It?

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6.

Problem 1 Got It?

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7.

Problem 2 Got It?

8.

Problem 3 Got It? What is the simplified form of the expression?

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9.

Problem 3 Got It? Reasoning: Describe two different ways to simplify the expression.
Which method do you prefer?

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10.

Problem 4 Got It?

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11.
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17.

Reasoning: Ross simplifies the expression as shown. Explain why Ross' method works.

18.

Open-Ended: Write a quotient of powers and use Ross' method from the previous item to simplify it.

Show your work on the canvas.

19.

Review Lesson 7-3: Simplify the expression.

20.

Review Lesson 7-3: Simplify the expression.

21.

Review Lesson 7-3: Simplify the expression.

22.

Review Lesson 6-1: Solve each system by graphing. You may use the embedded Desmos graphing utility above.

  • No solution
  • Infinitely many solutions
  • (3, 5)
  • (0, 0)
  • (-4, -7)
  • y = 3x
    y = -2x
  • y = 2x + 1
    y = x - 3
  • y = 5
    x = 3
  • y = 7
    y = 8
23.

Review Lesson 4-4: Graph the functions on the same coordinate plane using the indicated colors.
Be sure to include all relevant graph detail.

24.

Vocabulary Review: Which expression(s) show a quotient? Select all that apply.

25.

Vocabulary Review: Complete each sentence with positive or negative.

  • positive
  • negative
  • The quotient of two negative integers is always __?__.
  • The quotient of two positive integers is always __?__.
  • The quotient of a negative integer and a positive integer is always __?__.
26.

Use Your Vocabulary: Match each equation on the left with the property it illustrates on the right.

  • raising a power to a power
  • identity property of addition
  • associative property of multiplication
27.

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.

28.

Reflection: Math Success

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