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Algebra 1 7-5 Complete Lesson: Rational Exponents and Radicals

By Matt Richardson
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Last updated about 2 years ago
45 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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Solve It! The figure is made up of squares. The side of a larger square is bisected by the vertices of the square that is one size smaller. What are the values of a, b, and c? Hint: The hypotenuse of an isosceles right triangle equals the smaller side times the square root of 2.
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Problem 1 Got It?
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Problem 1 Got It?
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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 2 Got It?
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Problem 2 Got It?
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Problem 3 Got It?
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Problem 3 Got It?
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Problem 3 Got It?
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Problem 3 Got It?
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Problem 4 Got It?
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Error Analysis: What is the error in the problem shown?
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What is the correct simplified form?
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Reasoning: Write a rule for multiplying two radicals with the same radicand. Justify why your rule works.
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Reasoning: Is this equation true?
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Review Lesson 7-3: Simplify the expression.
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Review Lesson 7-3: Simplify the expression.
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Review Lesson 7-3: Simplify the expression.
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Review Lesson 7-3: Simplify the expression.
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Review Lesson 7-3: Simplify the expression.
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Review Lesson 5-5: Identify the form of each equation.
  • slope-intercept form
  • point-slope form
  • standard form
  • none of these
  • 5x + 3y = 21
  • y = -7x + 1
  • x = 5 + 3y
  • y = -9(x + 2)
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Review Lesson 5-5: Is the equation in standard form? Explain.
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Review Lesson 5-5: Match each equation from the left column with its equivalent standard form equation in the right column.
  • y = 4x + 7
  • y + 3 = 2(x - 5)
  • x = 6y + 3
  • 2y + 4x = 8
  • -2x + y = -13
  • x - 6y = 3
  • -4x + y = 7
  • 4x + 2y = 8
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Vocabulary Review: Simplify the square root expression.
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Vocabulary Review: Simplify the square root expression.
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Vocabulary Review: Simplify the square root expression.
Enter only a number.
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Vocabulary Review: Identify the base and exponent in the exponential expression.
  • 2
  • 3
  • Exponent
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Use Your Vocabulary: What is the index of the radical expression?
Enter only a number.
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Use Your Vocabulary: What is the index of the radical expression?
Enter only a number.
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Use Your Vocabulary: Find the cube of the number.
Enter only a number.
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Use Your Vocabulary: Find the cube of the number.
Enter only a number.
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Use Your Vocabulary: Find the cube of the number.
Enter only a number.
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Use Your Vocabulary: Find the cube of the number.
Enter only a number.
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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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