Algebra 1 Ch. 12 Study Guide September 12, 2012 Name: Actual test on Friday, Actual Test will be mostly multiple choice.


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1 Algebra 1 Ch. 12 Study Guide September 12, 2012 Name:_ Actual test on Friday, Actual Test will be mostly multiple choice. Multiple Choice Identify the choice that best completes the statement or answers the question. 1. A rational number is a real number. a. always b. sometimes c. never 2. Name the set(s) of numbers to which 1.68 belongs. a. rational numbers b. natural numbers, whole numbers, integers, rational numbers c. rational numbers, irrational numbers d. none of the above 3. The opposite of a negative number is negative. a. always b. sometimes c. never 4. The probability of the complement of an event is less than the probability of the event itself. a. sometimes b. always c. never 5. If you roll a number cube 60 times and use the results to calculate the experimental probability of rolling a 1, the experimental probability of rolling a 1 will be less than the theoretical probability of rolling a 1. a. sometimes b. always c. never Short Answer Write an algebraic expression for the phrase. 6. the product of g and times the sum of q and p 8. The total cost to rent a row boat is $18 times the number of hours the boat is used. Write an equation to model this situation if c = total cost and h = number of hours. 9. What equation models the data in the table if d = number of days and c = cost? Days Cost
2 10. An equilateral triangle has three sides of equal length. What is the equation for the perimeter of an equilateral triangle if P = perimeter and s = length of a side? 11. Write the number 2.4 in the form, using integers, to show that it is a rational number. 12. Order the numbers from least to greatest.,, Over the first five years of owning her car, Gina drove about 12,700 miles the first year, 15,478 miles the second year, 12,675 the third year, 11,850 the fourth year, and 13,075 the fifth year. a. Find the mean, median, and mode of this data. b. Explain which measure of central tendency will best predict how many miles Gina will drive in the sixth year. 15. Angela s average for six math tests is 87. On her first four tests she had scores of 93, 87, 82, and 86. On her last test, she scored 4 points lower than she did on her fifth test. What scores did Angela receive on her fifth and sixth tests? Write and solve an equation to find the value of the variable , 137, 154, 131, x; mean = 130 Find the range
3 18. Make a stemandleaf plot for the following set of data. 1.1, 1.3, 1.8, 2.2, 2.6, 2.8, 3.1, Determine whether the following statement is sometimes, always, or never true. If two sets of data have the same range and the same mean then they have the same mode. 20. You roll a standard number cube. Find P(number greater than 1) Refer to the spinner below. 21. Find P(even and not shaded). 22. Find the odds of the spinner landing on a dark section. 23. Teesha is in the French club. There are 26 students in the club. The French teacher will pick 3 students at random to guide visiting students from France. What is the probability that Teesha will not be picked as a guide? 24. In a batch of 960 calculators, 8 were found to be defective. What is the probability that a calculator chosen at random will be defective? Write the probability as a percent. Round to the nearest tenth of a percent if necessary. 25. Suppose you choose a marble from a bag containing 2 red marbles, 5 white marbles, and 3 blue marbles. You return the first marble to the bag and then choose again. Find P(red and blue). 3
4 26. In a word game, you choose a tile from a bag, replace it, and then choose another. If there are 21 vowels and 15 consonants, what is the probability you will choose a consonant and then a vowel? 27. A small software company has three customer service representatives. After a week of observation, the supervisor of the customer service department determines that there is an 85% probability that a customer service representative will be on the phone with a customer at any given time. What is the probability of all three representatives being on the phone at the same time? Round to the nearest percent if necessary. 28. A basket contains 11 pieces of fruit: 4 apples, 5 oranges, and 2 bananas. Jonas takes a piece of fruit at random from the basket, and then Beth takes a piece at random. What is the probability that Jonas will get an orange and Beth will get an apple? 29. Bob and Nancy recorded their last ten rounds of golf scores in the stemandleaf plot below. Use measures of central tendency to justify your answers. a. Who is the better golfer? (A player with a lower score beats a player with a higher score.) b. Is one golfer more consistent than the other? Explain. Nancy Stem Bob = 75 Other 30. Is the statement below true or false? If the statement is false, give a counterexample. All real numbers are rational. 31. Is the following statement true or false for all values of a and b? If false, give a counterexample. 32. Are the two events dependent or independent? Explain. a. Toss a dime, and then toss a quarter. b. Pick a card from a deck of cards. Keep the card and pick another. 4
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