Algebra 1 7-4 Complete Lesson: Division Properties of Exponents
By Matthew Richardson
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Last updated over 3 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.
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Question 1
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?
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Question 2
2.
Problem 1 Got It?
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Question 3
3.
Problem 1 Got It?
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Question 4
4.
Problem 1 Got It?
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Question 5
5.
Problem 1 Got It?
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Question 6
6.
Problem 1 Got It?
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Question 7
7.
Problem 2 Got It?
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Question 8
8.
Problem 3 Got It? What is the simplified form of the expression?
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Question 9
9.
Problem 3 Got It? Reasoning: Describe two different ways to simplify the expression.
Which method do you prefer?
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Question 10
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Problem 4 Got It?
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Question 11
11.
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Question 12
12.
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Question 13
13.
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Question 14
14.
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Question 15
15.
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Question 17
17.
Reasoning: Ross simplifies the expression as shown. Explain why Ross' method works.
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Question 18
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.
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Question 19
19.
Review Lesson 7-3: Simplify the expression.
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Question 20
20.
Review Lesson 7-3: Simplify the expression.
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Question 21
21.
Review Lesson 7-3: Simplify the expression.
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Question 22
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
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Question 23
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.
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Question 24
24.
Vocabulary Review: Which expression(s) show a quotient? Select all that apply.
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Question 25
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 __?__.
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Question 26
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
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Question 27
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.
