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## Let’s Get Ready

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**Let’s Get Ready**To Play Some . . .**J**E O P A R D Y JEOPARDY JEOPARDY JEOPARDY JEOPARDY JEOPARDY**Jeopardy Board**Final Jeopardy**Probability of Compound Events 100**At Reyna High School 50% of the students eat lunch in the school cafeteria. In the same school 10% of the students participate in sports. What is the probability that a student selected at random eats in the school cafeteria and participates in sports? F H G J Board Answer**Probability of Compound Events 100**At Reyna High School 50% of the students eat lunch in the school cafeteria. In the same school 10% of the students participate in sports. What is the probability that a student selected at random eats in the school cafeteria and participates in sports? F H G J Board**Probability of Compound Events 200**Jared has a white cube and a red cube. The surfaces of each cube are numbered with a unique number from 1 to 6. If Jared tosses the cubes, what is the probability he will get a 4 on the white cube and an odd number on the red cube? A C B D Board Answer**Probability of Compound Events 200**Jared has a white cube and a red cube. The surfaces of each cube are numbered with a unique number from 1 to 6. If Jared tosses the cubes, what is the probability he will get a 4 on the white cube and an odd number on the red cube? A C B D Board**Probability of Compound Events 300**In a high school auditorium, 1 junior and 2 sophomores are seated randomly together in a row. List all of the possible ways these three people can sit in the row Board Answer**Probability of Compound Events 300**In a high school auditorium, 1 junior and 2 sophomores are seated randomly together in a row. List all of the possible ways these three people can sit in the row One possibility: They could sit junior, sophomore, sophomore Second possibility: They could sit junior, sophomore, sophomore The sophomores are two different people Why are these different? I will write the first answer J, S1, S2 I will write the second answer J, S2, S1 S1, S2, J; S2, S1, J S2, J, S1; S1, J, S2; How many more? There are six ways to sit these three people Board 3 2 1 = 6**Probability of Compound Events 400**In a high school auditorium, 1 junior and 2 sophomores are seated randomly together in a row. What is the probability that the 2 sophomores are seated next to each other? F H G J Board Answer**Probability of Compound Events 400**In a high school auditorium, 1 junior and 2 sophomores are seated randomly together in a row. What is the probability that the 2 sophomores are seated next to each other? F H G J J, S1, S2 S2, J, S1 S1, S2, J J, S2, S1 S1, J, S2 S2, S1, J 4 out of 6 times two sophomores sat next to each other Board**Probability of Compound Events 500**Jamal has a game with 2 groups of tiles. The first group of 26 tiles is labeled with all the letters of the alphabet. The second group of 10 tiles is numbered 0 through 9. If Jamal draws 1 letter tile and 1 number tile at random, what is the probability that he will draw a letter in his name and an odd number? F H G J Board Answer**Probability of Compound Events 500**Jamal has a game with 2 groups of tiles. The first group of 26 tiles is labeled with all the letters of the alphabet. The second group of 10 tiles is numbered 0 through 9. If Jamal draws 1 letter tile and 1 number tile at random, what is the probability that he will draw a letter in his name and an odd number? F H G J Trick Question, how many different letters in his name? 1, 3, 5, 7, OR, 9 Board**Percents and Proportions 100**Two race cars travel at constant speeds in the same direction around a track. The faster car travels 186 miles per hour and completes 50 laps each time the slower car completes 47.6 laps. Which is a reasonable estimate of the slower driver’s speed? Board Answer**Percents and Proportions 100**Two race cars travel at constant speeds in the same direction around a track. The faster car travels 186 miles per hour and completes 50 laps each time the slower car completes 47.6 laps. Which is a reasonable estimate of the slower driver’s speed? A Between 180 mph and 185 mph B Between 175 mph and 180 mph C Between 145 mph and 150 mph D Between 135 mph and 140 mph 50x = 8853.6 50 50 x = 177.072 x 47.6 Board**Percents and Proportions 200**Antonio works 40 hours per week at Electronics Warehouse. He earns $6.50 per hour plus a 3% commission on the total dollar value of the service contracts he sells. If Antonio’s hourly rate were increased by $0.15 and his commission were raised to 5%, how much would he earn if he sold $4000 worth of service contracts for the week? Board Answer**Percents and Proportions 200**Antonio works 40 hours per week at Electronics Warehouse. He earns $6.50 per hour plus a 3% commission on the total dollar value of the service contracts he sells. If Antonio’s hourly rate were increased by $0.15 and his commission were raised to 5%, how much would he earn if he sold $4000 worth of service contracts for the week? A $126.50 B $206.65 C $466.00 D $580.00 Earns $6.65 per hour for 40 hours 5% commission on $4000 Total? Board**Percents and Proportions 300**Of the 32 students in Mrs. Zane’s class, 25% have brown hair. Of the remaining students, 12.5% have red hair. How many students in Mrs. Zane’s class have red hair? Board Answer**Percents and Proportions 300**Of the 32 students in Mrs. Zane’s class, 25% have brown hair. Of the remaining students, 12.5% have red hair. How many students in Mrs. Zane’s class have red hair? A 3 B 4 C 21 D Not here 25% of 32 students have brown hair Remaining students (don’t have brown hair) 12.5% of 24 student have red hair Board**Percents and Proportions 400**Mr. Salinas, a real estate agent, received a 5% commission on the selling price of a house. If his commission was $6,975, what was the selling price of the house? Board Answer**Percents and Proportions 400**Mr. Salinas, a real estate agent, received a 5% commission on the selling price of a house. If his commission was $6,975, what was the selling price of the house? 5% commission on $10,000 = _____________ F $7,342 G $34,875 H $139,500 J $662,625 5% commission on $25,000 = _____________ 5% commission on $140,000 = _____________ 5% commission on _________ = $6975 .05x = $6975 Board .05 .05 x = 139,500**Percents and Proportions 500**Olivero is choosing between two brands of AAA batteries for his graphing calculator. A package of three Brand M batteries costs $5.50, and a package of three Brand P batteries costs $3.85. What percent of the cost of Brand M batteries did Olivero save by buying a package of Brand P batteries? Board Answer**Percents and Proportions 500**Olivero is choosing between two brands of AAA batteries for his graphing calculator. A package of three Brand M batteries costs $5.50, and a package of three Brand P batteries costs $3.85. What percent of the cost of Brand M batteries did Olivero save by buying a package of Brand P batteries? To find a percent think of the words “out of” F 17% G 30% H 43% J 70% $1.65 Saved _______ “out of” __________ $5.50 Board**Misuse of Graphs 100**The table shows the results of a survey given to 450 graduating seniors about their educational plans after high school. Based on these data, which of the following statements is true? A 63 students have no future educational plans. B More students plan to attend a community college or technical school than plan to attend a university. C 44 students plan to attend a university. D Fewer than one-fourth of the students plan to attend a community college. Board Answer**** Misuse of Graphs 100 The table shows the results of a survey given to 450 graduating seniors about their educational plans after high school. Based on these data, which of the following statements is true? 14%450 0.14450 = 63 A 63 students have no future educational plans. B More students plan to attend a community college or technical school than plan to attend a university. C 44 students plan to attend a university. D Fewer than one-fourth of the students plan to attend a community college. 26% + 16% = 42% 42% < 44% 44 % plan to attend Fewer than one-fourth means fewer than 25% Board**Misuse of Graphs 200**The graph below shows the amount of time Dennis spent studying over a 2-week period in October. Which of the following statements would be an invalid conclusion for these data? F Dennis spent a total of 660 minutes studying. G Dennis studied for an average of about 47 minutes/day. H Dennis studied for an average of 330 minutes per week. J Dennis earned good grades during this 2-week period. Board Answer**Misuse of Graphs 200**The graph below shows the amount of time Dennis spent studying over a 2-week period in October. Which of the following statements would be an invalid conclusion for these data? F Dennis spent a total of 660 minutes studying. G Dennis studied for an average of about 47 minutes/day. H Dennis studied for an average of 330 minutes per week. J Dennis earned good grades during this 2-week period. Board**Misuse of Graphs 300**The table below shows the population and the area in square miles of some U.S. states. Which statement best describes the relationship between the population and the area of a state? A The larger a state’s area, the larger its population is. B No relationship can be determined from the data in the table. C New Jersey has the smallest population of the states in the table because it has the smallest area. D Texas is the largest U.S. state. Board Answer**Misuse of Graphs 300**The table below shows the population and the area in square miles of some U.S. states. Which statement best describes the relationship between the population and the area of a state? A The larger a state’s area, the larger its population is. B No relationship can be determined from the data in the table. C New Jersey has the smallest population of the states in the table because it has the smallest area. D Texas is the largest U.S. state. Board**Misuse of Graphs 400**The table below shows the cost of fertilizer, depending on the amount purchased. Which conclusion can be made based on information in the table? A The cost of 10 pounds of fertilizer would be more than $4.00. B The cost of 200 pounds of fertilizer would be less than $57.00. C The cost of fertilizer is always more than $0.35 per pound. D The cost of fertilizer is always less than $0.30 per pound. Board Answer**Misuse of Graphs 400**The table below shows the cost of fertilizer, depending on the amount purchased. Which conclusion can be made based on information in the table? A The cost of 10 pounds of fertilizer would be more than $4.00. B The cost of 200 pounds of fertilizer would be less than $57.00. C The cost of fertilizer is always more than $0.35 per pound. D The cost of fertilizer is always less than $0.30 per pound. Board**Misuse of Graphs 500**The table below shows the yearly unemployment rates of a city over a 5-year period. Which conclusion can be made from the table? A The unemployment rate continuously increased over these 5 years. B The unemployment rate for the sixth year is 4.1%. C Employers hired the most people in the third year. D The unemployment rate averaged more than 4% over these 5 years. Board Answer**Misuse of Graphs 500**The table below shows the yearly unemployment rates of a city over a 5-year period. Which conclusion can be made from the table? A The unemployment rate continuously increased over these 5 years. B The unemployment rate for the sixth year is 4.1%. C Employers hired the most people in the third year. D The unemployment rate averaged more than 4% over these 5 years. Board**Problem Solving 100**Sean is an Algebra I student who believes that xy2 = (xy)2. Rudy informs Sean that this theory is not always true. Which pair of values for x and y could Rudy use to disprove Sean’s theory? F x = 0 and y = 2 G x = 1 and y = 2 H x = 2 and y = 0 Jx = 2 and y = 1 Board Answer**Problem Solving 100**Sean is an Algebra I student who believes that xy2 = (xy)2. Rudy informs Sean that this theory is not always true. Which pair of values for x and y could Rudy use to disprove Sean’s theory? F x = 0 and y = 2 G x = 1 and y = 2 H x = 2 and y = 0 Jx = 2 and y = 1 0 22 = (0 2)2 0 = 0 1 22 = (1 2)2 4 = 4 2 02 = (2 0)2 0 = 0 2 12≠ (2 1)2 2 ≠ 4 Board Test the answers, which one is wrong?**Problem Solving 200**Which statement about the triangles below is true? F All the triangles are scalene. G All the triangles are equiangular. H All the triangles are equilateral. J All the triangles are isosceles. Board Answer**Problem Solving 200**Which statement about the triangles below is true? F All the triangles are scalene. G All the triangles are equiangular. H All the triangles are equilateral. J All the triangles are isosceles. No sides equal All angles equal All sides equal Has to be equiangular At least two sides equal Board**Problem Solving 300**Given: Two angles are supplementary. The measure of one angle is 20° more than the measure of the other angle. Conclusion: The measures of the angles are 70° and 90°. This conclusion — F is contradicted by the first statement given G is verified by the first statement given H invalidates itself because a 90° angle cannot be supplementary to another J verifies itself because 90° is 20° more than 70° Board Answer**Problem Solving 300**Given: Two angles are supplementary. The measure of one angle is 20° more than the measure of the other angle. Conclusion: The measures of the angles are 70° and 90°. This conclusion — F is contradicted by the first statement given G is verified by the first statement given H invalidates itself because a 90° angle cannot be supplementary to another J verifies itself because 90° is 20° more than 70° Board Supplementary angles add up to 180°**Problem Solving 400**Lisa has a circular piece of cardboard (CB) with a 10-inch diameter. She wants to cut a 10-inch-by-2-inch rectangle from the circle. She also wants to cut 10 square pieces that are 1 inch on each side. Which information makes this scenario impossible? F There will be no CB left after the rect. has been cut. G A 10-inch-long rect. can’t be cut from the round CB H Squares cannot be cut from the circle. J There will not be enough CB to cut all the 1-inch-square pieces indicated. Board Answer**Problem Solving 400**Lisa has a circular piece of cardboard (CB) with a 10-inch diameter. She wants to cut a 10-inch-by-2-inch rectangle from the circle. She also wants to cut 10 square pieces that are 1 inch on each side. Which information makes this scenario impossible? F There will be no CB left after the rect. has been cut. G A 10-inch-long rect. can’t be cut from the round CB H Squares cannot be cut from the circle. J There will not be enough CB to cut all the 1-inch-square pieces indicated. 10 in diameter 10 in by 2 in rectangle Board**Problem Solving 500**andintersect at a point Q that is between F and G and between J and K. Which statement must be true? F Points F, G, J, and K are collinear. G H J Board Answer**Problem Solving 500**andintersect at a point Q that is between F and G and between J and K. Which statement must be true? F Points F, G, J, and K are collinear. G H J All on same line Perpendicular - 90° angle KQF > 90° while FQJ < 90° J G Vertical angles ARE equal Q K Board F**Final Jeopardy Category**Percent and Proportions Board**Final Jeopardy Question**Amber is making a patchwork quilt using 3 different types of fabric. Each type of fabric is cut into rectangles. The first fabric is cut into pieces measuring 3 inches by 5 inches. The dimensions of the rectangles of the second type of fabric are 125% those of the first type, and the dimensions of the third type of fabric are 125% those of the second. What are the approximate dimensions of the third type of fabric? Answer**Final Jeopardy Answer**Amber is making a patchwork quilt using 3 different types of fabric. Each type of fabric is cut into rectangles. The first fabric is cut into pieces measuring 3 inches by 5 inches. The dimensions of the rectangles of the second type of fabric are 125% those of the first type, and the dimensions of the third type of fabric are 125% those of the second. What are the approximate dimensions of the third type of fabric? 7.81 in 1.25 6.25 in A 3.75 in. by 6.25 in. B 4.69 in. by 7.81 in. C 5.50 in. by 7.50 in. D 4.25 in. by 6.25 in. 5 in 1.25 3 in 1.25 3.75 in 1.25 4.69 in Board