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Algebra 2 Unit 8 Review Answers

Explore various algebraic problems involving permutations, combinations, and probability, such as fabric and committee selections, card games, and experimental design analysis. Test your skills and understanding of these concepts.

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Algebra 2 Unit 8 Review Answers

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  1. Algebra 2 Unit 8 Review Answers 1) C 2) A 3) B 4) C 5) B 6) D 7) A 8) B 9) D 10) A 11) D 12) C 13) B 14) C 15) D 16) D 17) D 18) B 19) C 20) A 21) D 22) C 23) A 24) B 25) A 26) C 27) A 28) D 29) B 30) D 31) C 32) D 33) A

  2. Algebra 2 Unit 8 Review

  3. 1. You are choosing fabrics for a quilt. The fabric shop offers 4 yellow prints, 5 brown prints, 3 russet prints, and 7 beige prints. You wish to combine one print of each color in your quilt. How many different quilts can you make?

  4. 2. A math club has 23 members. How many ways are there to choose a president, vice-president, secretary, and treasurer of the club?

  5. 3. Determine how many different 5-digit postal zip codes are possible given the following conditions: Begins with a 7 or a 9 and ends with an even number…if (a) digits can be repeated (b) digits cannot be repeated,

  6. 4. Your history teacher gives you a list of 10 questions. 3 of the 10 questions will be on the next test. In how many different ways can your teacher choose 3 of the 10 questions?

  7. 5. In how many ways can a club with 12 members choose a 3-person committee?

  8. 6. Permutation or Combination? 9 members of a school choir are auditioning for 2 solos in the musical.

  9. 7. Permutation or Combination? The 13 member student council committee needs to vote on a president and vice-president.

  10. 8. Permutation or Combination? There were 120 entries for an essay contest that awards prizes for first through fourth place.

  11. Permutation or Combination? Students need to choose 3 out of 7 foreign language classes to meet graduation requirements.

  12. 10. Find the number of possible 5-card hands that contain 3 aces, 1 king, and 1 nine.

  13. 11. A restaurant offers 10 pizza toppings. On a deluxe pizza, you can have up to 3 toppings. How many different combinations of toppings can you have?

  14. 12. A card is randomly selected from a standard deck of 52 cards. What is the probability that it is a king or a red card?

  15. 13. What is the probability of rolling a 4 on a dice 3 times in a row?

  16. 14. A human resources director of a large company is interested in how often employees use their computers during breaks. She watches a selected group of employees at their desks during the break times. This study would best be described as: • a survey • an observational study • an experiment

  17. 15. A company wants to compare two washing detergents (Brands A and B) to see which best keeps colors from fading. Twenty new, identical red t-shirts will be used in the trials. Ten t-shirts are washed 15 times with Brand A in warm water. The other 10 t-shirts are washed with Brand B in cold water. The amount of fading is rated on a 0 to 100 scale, and the mean for the t-shirts washed in Brand A is compared to the mean for the others. Is this a good experimental design? (A) No, because the means are not the proper statistics for comparison. (B) No, because more than two brands of detergent should be used. (C) No, because more temperatures of water should be used. (D) No, because the same water temperature should be used. (E) Yes.

  18. 16. Students were asked about the number of hours they spent studying and how they did on their test. Data is in the table to the right. Which conclusion is supported by the data? A) All students who studied for 3 hours will score 77 or better. B) All students who studied for 5 hours will do better than those that studied for 3 hours. C) The range of scores of students who studied for 3 hours was 5 less than the range of the scores of students who studied for 5 hours. D) The mean score of students who studied for 5 hours is more than 10 points higher than the mean score of students who studied for 3 hours.

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