Understanding the Binomial Theorem Chapter Exam

Exam Instructions:

Choose your answers to the questions and click 'Next' to see the next set of questions. You can skip questions if you would like and come back to them later with the yellow "Go To First Skipped Question" button. When you have completed the practice exam, a green submit button will appear. Click it to see your results. Good luck!

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Question 1 1. Expand (a + b)^5.

Question 2 2. Evaluate 8 choose 4, or...

Question 3 3. Consider: 3ab + 4b. Name the Terms.

Question 4 4. What does 'Binomial Theorem' mean?

Question 5 5. If the binomial (x + y) is raised to the 6th power, what will just the variable portion of the expansion look like?

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Question 6 6. The Binomial Theorem helps you solve which of the following problems?

Question 7 7.

Use Binomial Approximation to expand this binomial:

(1 + x)23

The absolute value of x is less than 1.

Question 8 8.

Which of the following is the Binomial Theorem formula you need to use to expand this binomial?

(3x - 7y)7

Question 9 9. For which of the following binomials will the Binomial Theorem give you an infinite series?

Question 10 10. Expand this binomial.
  • (x + y)5

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Question 11 11. What is the last term of the answer?

Question 12 12. What are the coefficients when n = 4 for example as in the problem (a + b)^4?

Question 13 13. What pattern does the exponents of the first term in the binomial follow according to the Binomial Theorem when expanded?

Question 14 14. For this binomial problem, what is the exponent of the b in the second term of the answer?

Question 15 15. For which of the following can you use the Binomial Theorem?

Understanding the Binomial Theorem Chapter Exam Instructions

Choose your answers to the questions and click 'Next' to see the next set of questions. You can skip questions if you would like and come back to them later with the yellow "Go To First Skipped Question" button. When you have completed the practice exam, a green submit button will appear. Click it to see your results. Good luck!

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