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Algebra 2 8-6 Complete Lesson: Solving Rational Equations

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Last updated over 4 years ago
21 Nsɛmmisa
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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.

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1.

Solve It! You normally walk the sidewalk from home to school in 25 minutes. If you walk the shortcut at your normal constant rate, how much time would you save?

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2.

Problem 1 Got It?

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3.

Problem 1 Got It?

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4.

Problem 2 Got It? You ride your bike to a store, 4 mi away, to pick up things for dinner. When there is no wind, you ride at 10 mi/h. Today your trip to the store and back took 1 hour. What was the speed of the wind today?

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5.

Problem 3 Got It?

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6.
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8.
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9.
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10.

Error Analysis: Describe and correct the error made in solving the equation.

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11.

Open-Ended: Write a rational equation including at least two rational expressions that have different denominators and the following LCD.

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13.

Review Lesson 8-5: Match each difference on the left with its simplified form on the right.

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14.

Review Lesson 7-5: Solve the equation. Enter only a number.

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15.

Review Lesson 7-5: Solve the equation. Enter only a number.

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16.

Review Lesson 1-1: Identify the pattern on the right and identify the next three terms by dragging them from the left. In this item, the order of the next three terms does not matter.

  • 11

  • 625

  • 15,625

  • 13

  • 30

  • 9

  • 3125

  • 20

  • 25

  • 1, 3, 5, 7,...

  • 0.2, 1, 5, 25, 125,...

  • 50, 45, 40, 35,...

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17.

Vocabulary Review: Which phrase best describes a rational expression?

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18.

Vocabulary Review: Identify the rational expressions below. Select all that apply.

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19.

Use Your Vocabulary: Drag the appropriate term from the left to fill in the blank and complete the sentence on the right.

  • numerator

  • denominator

  • A possible extraneous solution may be any value that makes a __?__ in the original equation equal to 0.

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20.

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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21.

Reflection: Math Success