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Algebra 2 5-7 Complete Lesson: The Binomial Theorem

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Last updated about 4 years ago
21 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! How many unique letter combinations are possible using each of the following?
The same letters in different orders are one combination.

a. 2 of 5 letters b. 3 of 5 letters c. 2 of 6 letters d. 4 of 6 letters e. 3 of 6 letters

HINT: Use the diagram below, a previous response, or both.


Match each scenario on the left with its number of possible letter combinations on the right. Some categories may remain empty.

  • a. 2 of 5 letters
  • b. 3 of 5 letters
  • c. 2 of 6 letters
  • d. 4 of 6 letters
  • e. 3 of 6 letters
  • 5 letter combinations are possible
  • 10 letter combinations are possible
  • 15 letter combinations are possible
  • 20 letter combinations are possible
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Question 2
2.

Problem 1 Got It?

Question 3
3.

Problem 2 Got It? What is the expansion of the expression? Use the Binomial Theorem.

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Question 4
4.
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Question 5
5.
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Question 6
6.
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Question 7
7.
Question 8
8.

Vocabulary: Tell whether the expression can be expanded using the Binomial Theorem.

Question 9
9.

Vocabulary: Tell whether the expression can be expanded using the Binomial Theorem.

Question 11
11.

Reasoning: Using Pascal's Triangle, determine the number of terms in the expansion of the expression below.

Question 12
12.

Reasoning: How many terms are there in the expansion of the expression below?

Question 13
13.

Review Lesson 5-6: Identify all of the roots of the polynomial equation.

  • 0
  • -1
  • 3
  • -3
Question 14
14.

Review Lesson 4-8: Simplify the expression.

Question 15
15.

Review Lesson 4-8: Simplify the expression.

Question 16
16.

Review Lesson 4-8: Simplify the expression.

Question 17
17.

Vocabulary Review: Identify the next number in each pattern.

  • 1
  • 40
  • 13
  • 50
  • 70
  • 9
  • 11
  • 2
  • 1, 2, 1, 2, 1,...
  • 1, 3, 5, 7, 9,...
  • 100, 90, 80, 70, 60,...
Question 18
18.

Use Your Vocabulary: Identify whether each sentence shows the correct use of expand.

  • The writer expanded the short story into a novel.
  • Heat expands most metals.
  • The balloon expanded as all of its air was let out.
  • The expanded form of (3x² - 4)² is
  • Correct use of expand
  • Not a correct use of expand
Question 19
19.

Use Your Vocabulary: The expression is the expansion of which power of a binomial?

Question 20
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.

Question 21
21.

Reflection: Math Success