1. Write an expression of the third degree that is written with a leading coefficient of five and a constant of ten., find C D.

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Vernon Beasley
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1 1. Write an expression of the third degree that is written with a leading coefficient of five and a constant of ten If C = 4x 7x 9 and D = 5x 7x 3, find C D. 3. At an ice cream shop, the profit,, is modeled by the function, where c represents the number of ice cream cones sold. An appropriate domain for this function is 1) an integer 3) a rational number 2) an integer 4) a rational number 4. Solve for x: y x 2 5. In a sequence, the first term is 10 and the common difference is 6. Determine the 7 th term of the sequence. Page 1

2 6. Here are the test scores from a ninth grade math class: 65, 78, 100, 87, 76, 55, 98, 96, 91, 91, 95, 86, 70, 69 a. If 10 points were added to every score, how does that impact the mean and the median? b. If every score was doubled, how does that impact the mean and the median? c. If an additional score of 100 was added to the list, how does that impact the mean and the median? 7. Describe the correlation seen in the graph to the right. Page 2

3 8. Multiply: 12a 2 b 5 c 2abc 7 9. Given the following inequality: x a. Solve the inequality for x: 5 2 2x 25 b. Determine the largest integer x can be. 10. A poll was taken from 450 students a school about their favorite superpower. The results are show below: a. What is the marginal relative frequency for males and females that chose super strength? b. What is the conditional relative frequency of the males that chose telepathy? Page 3

11. Analyze the graph below and answer the following questions. a. Is the point (2,0) in the solution set? Why or why not? b. Is the point (0,-1) in the solution set?

4 11. Analyze the graph below and answer the following questions. a. Is the point (2,0) in the solution set? Why or why not? b. Is the point (0,-1) in the solution set? Why or why not? c. How many ordered pairs satisfy this system of inequalities? d. Write the two inequalities that would be represented by the graph above. Page 4

5 12. For each of the following, write the property or properties that allow all real values of x to be solutions to each identity. a. 4(x -3) = 4x -12 b. 5x 2 +9x = 9x + 5x 2 c. 10x +(9x + 7x) = (10x +9x)+ 7x d. 2(x - 5) = x 13. On the set of axes below, draw the graph of the equation 4x 3y 12. Also determine if the point 5,7 is in the solution set. 14. Create a box plot (box and whiskers) for the following data: 65, 90, 100, 72, 88, 55, 73, 60, 88, 76, 75. Indicate the five necessary points. Page 5

6 15. Determine if the model used is a good fit for the data given the following residual plot. Explain. 16. The cost of joining a movie club can be modeled by c m 10m 25, where c m is the total cost for m months of membership. State the meaning of the slope and y-intercept of this function with respect to the costs associated with the movie club. 17. Determine the fifth term of the geometric sequence for which a 1 = 3 and r = 4. Page 6

7 18. Graph the solution set to the following system of inequalities. 2y ³ -2x +12 4y -12 > 3x Is the point (5,1) in the solution set? Page 7

8 19. The current student population of the Brentwood Student Center is 2,000. The enrollment at the center increases at a rate of 4% each year. To the nearest whole number, what will the student population be closest to in 3 years? 20. James received a $30 gift card to Dunkin Donuts. He decided to only use this gift card to purchase his morning coffee. After his first coffee from Dunkin Donuts he had $28 remaining. After his second coffee he had $26 remaining. a. Assuming the pattern continues, create an equation D n to represent how much money is left on the gift card after n coffees. b. How many coffees can James buy before running out of money on the gift card. Page 8

9 21. The cost of 3 markers and 2 pencils is $1.80. The cost of 4 markers and 6 pencils is $2.90. What is the cost of each item? Include appropriate units in your answer. 22. On the grid below, solve the system of equations graphically for x and y. 4x 2y 10 y 2x 1 Page 9

10 23. When Gina bought a new car, she decided to keep a record of how much gas she uses. Each time she puts gas in the car, she records the number of gallons of gas purchased and the number of miles driven since the last fill-up. Her record for the first 2 months is as follows: a. Using the calculator, determine the line of best fit for the data values given. Round values to the nearest hundredth. b. Find the correlation coefficient to the nearest thousandth. Explain the meaning of this value. c. Based on the line of best fit, determine the number of miles driven if 50 gallons of gas was used, to the nearest tenth. d. Does your answer in part (c) represent extrapolation or interpolation? Explain your answer. e. Based on the line of best fit, determine the number of gallons of gas used if 300 miles was driven, to the nearest tenth. f. Does your answer in part (e) represent extrapolation or interpolation? Explain your answer. Page 10

11 PARTNER PRACTICE: 24. Write an expression of the seventh degree that is written with a leading coefficient of ten and a constant of twenty If E = 7x 17x 3 and F = 2x 7x 9, find E F. 26. The daily cost of production in a factory is calculated using, where x is the number of complete products manufactured. Which set of numbers best defines the domain of? 1) integers 3) positive rational numbers 2) positive real numbers 4) whole numbers 27. Solve for x: d 1 wx In a sequence, the first term is 33 and the common difference is -7. Determine the 12 th term of the sequence. Page 11

12 29. Here are the test scores from a ninth grade math class: 100, 87, 76, 91, 91, 95, 86, 70, 69, 64, 78 a. Find the mean, median, mode, and the standard deviation. b. If a score of a 53 is added to the data, how does that impact the mean and the median? 30. Sketch the graphs of what a scatterplot would like based on their correlation. a. Strong Positive d. Weak Negative b. Weak Positive e. Strong Negative c. No Correlation Page 12

13 31. Multiply: 4 23a b 2 c 3a 2 b 5 c Given the following inequality: x a. Solve the inequality for x: 8 4 6x 80 b. Determine the largest integer x can be. 33. A poll was taken from 450 students a school about their favorite superpower. The results are show below: a. What percentage of males and females that chose to fly? b. Of those that chose invisibility, what percentage were males? Page 13

34. Analyze the graph below and answer the following questions. a. Is the point (3,3) in the solution set? Why or why not? b. Is the point (5,4) in the solution set?

14 34. Analyze the graph below and answer the following questions. a. Is the point (3,3) in the solution set? Why or why not? b. Is the point (5,4) in the solution set? Why or why not? c. How many ordered pairs satisfy this system of inequalities? d. Write the two inequalities that would be represented by the graph above. Page 14

15 35. Create an example of the following types of properties: (answers will vary) a. Commutative Property b. Distributive Property c. Associative Property d. Addition Property of Equality e. Subtraction Property of Equality 36. On the set of axes below, draw the graph of the equation 2x 6y 12. Also determine if the point 3,1 is in the solution set. 37. Create a box plot (box and whiskers) for the following data: 5, 10, 12, 8, 11, 20, 25, 18, 20, 7, 16, 21, 9. Indicate the five necessary points. Page 15

16 38. Which of the following residual plots are a good fit for the data and why? Explain why the other two are not. 39. The cost of joining a dance club can be modeled by c m 25m 99, where c m is the total cost for m months of membership. State the meaning of the slope and y-intercept of this function with respect to the costs associated with the dance club. 40. Determine the eighth term of the geometric sequence for which a 1 = 5 and r = 3. Page 16

17 41. Graph the solution set to the following system of inequalities. 2x - y < 3 4x +3y ³ 0 Is the point (-2,7) in the solution set? Page 17

18 42. The current student population of the Math Town Student Center is 5,500. The enrollment at the center increases at a rate of 2.5% each year. To the nearest whole number, what will the student population be closest to in 6 years? 43. Jimmy received a $100 gift card to Smith Street Deli. He decided to only use this gift card to purchase his daily morning breakfast sandwich. After his first breakfast sandwich from Dunkin Donuts he had $96 remaining. After his second coffee he had $92 remaining. a. Assuming the pattern continues, create an equation S n to represent how much money is left on the gift card after n breakfast sandwiches. b. How many breakfast sandwiches can Jimmy buy before running out of money on the gift card. Page 18

19 44. Nicole and Rachel had lunch at the mall. Nicole ordered three slices of pizza and two colas. Rachel ordered two slices of pizza and three colas. Nicole's bill was $6.00, and Rachel's bill was $5.25. What was the price of one slice of pizza? What was the price of one cola? 45. On the grid below, solve the system of equations graphically for x and y. 2y 8x 2 x y 4 Page 19

20 46. Kendra likes to watch crime scene investigation shows on television. She watched a show where investigators used a shoe print to help identify a suspect in a case. She questioned how possible it is to predict someone s height is from his shoe print. To investigate, she collected data on shoe length (in inches) and height (in inches) from 10 adult men. Her data appears in the following table and scatter plot below. a. Using your calculator, determine the linear regression for this set of data. Round to the nearest hundredth. b. Determine the correlation coefficient and explain its meaning. Round to the nearest hundredth. c. Using this equation, predict the height of a man that has a size 12 shoe. Is this interpolation or extrapolation? d. If someone is 79 inches tall (6 7 ), what does your line predict their shoe size to be? Is this interpolation or extrapolation? Page 20

a. Write what the survey would look like (Hint: there should be 2 questions and options to select for an answer!).

a. Write what the survey would look like (Hint: there should be 2 questions and options to select for an answer!). HW 13-1 1. Several students at Rufus King High School were debating whether males or females were more involved in afterschool activities. There are three organized activities in the afterschool program