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Binomial Theorem Overview 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!

Page 1

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

Question 2 2. Consider: 3ab + 4b. Name the Terms.

Question 3 3. If the binomial (x + y) is raised to the 6th power, what will just the variable portion of the expansion look like?

Question 4 4. When the successful outcome can take on more than one exact value, then we are looking for the probability called:

Question 5 5. Which of the following is NOT a criteria of binomial distributions?

Page 2

Question 6 6. Which of the following situations model the need for a binomial distribution?

Question 7 7. Multiply out (2x+5y)^2

Question 8 8. 81x^2+18xy+y^2 is:

Question 9 9. Factor x^2+4xy+4y^2.

Question 10 10.

Multiply.

(t+4)(t-4)

Page 3

Question 11 11. Can a binomial have a negative exponent?

Question 12 12.

Will these two binomials give you a binomial as an answer when you add them?

(y+4) and (3y+9)

Question 13 13. What do we call an experiment that contains a fixed number of trials that results in only one of two outcomes: success or failure?

Question 14 14. When the probability is a combination of the possible successes that are less than or equal to the trial number, to what are we referring?

Question 15 15. Using the table below, find the probability that there are 3 successes out of 10 trials, with a probability of .2.

Page 4

Question 16 16. Use the binomial theorem to fill in your skeleton and find the expanded binomial of (3x + 1)^4.

Question 17 17. What does Step 2 of the binomial theorem tell us to do with the first term of the binomial?

Question 18 18. What is the fourth term of the expanded polynomial of (5x - 4)^7?

Question 19 19. Which of the following is the correct expansion of the expression below?

Question 20 20. Which of the following is the correct expansion of the expression below?

Page 5

Question 21 21. Which of the following lists of numbers shows the coefficients for (x + 1)4 using Pascal's triangle?

Question 22 22. For this binomial problem, what is the exponent of the b in the second term of the answer?

Question 23 23. What pattern does the exponents of the first term in the binomial follow according to the Binomial Theorem when expanded?

Question 24 24. For which of the following can you use the Binomial Theorem?

Question 25 25. What do the letters in FOIL stand for?

Page 6

Question 26 26. Use the area method to multiply the binomial (3x + 2)(2x - 4). Do not forget to combine like terms for your final answer!

Question 27 27. Using the FOIL method, what four terms do you have after multiplying the binomial (x-2)(4x+1)?

Question 28 28. Evaluate 8 choose 4, or...

Question 29 29. What is a probability distribution?

Question 30 30. What is the formula for perfect square binomials?

Binomial Theorem Overview 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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