Math 1 Semester 1 Final Review

Transcription

1 Math Semester Final Review 0-0. Solve the equation (x + ) = 9. Write a justification for each step. Using these possible reasons: Substitution, Division, Subtraction, Addition, and Reflexive Properties of Equalit. Solve PV = nrt for R.. Solve for.. A professional cclist is training for the Tour de France. What was his average speed in kilometers per hour if he rode the 9 kilometers from Laval to Blois in. hours? Use the formula, and round our answer to the nearest tenth.. Solve F = (h + k)(a) for k.. Determine whether the graph represents a function and explain wh. x 7. Write different points in the form {(x, ), (x,), (x,)}. Make this relation not a function and explain wh it is not a function. 8. Give the domain and range of the relation. x For, what is the value of x for which?

2 0. Evaluate f(x) =.x 7 when x = -. What is the value of when x=?. Evaluate the function f(x) = -x + when x = -. For the function = -x, what is the input when the output is -0?. Check if (-, ) is an ordered pair on function : -x + =. Wh or wh not?. Use the graph of the function x + to find the value of when. x. For, evaluate. 7. Princess Leia pas $. a month for cable TV, plus $.7 for each movie she orders on pa-per-view. Write an equation in Slope Intercept form representing the total cost a month () and the number of movies she orders (x). Then also convert it into Standard Form.

3 8. The cost of a school banquet is $70 plus $ for each person attending. Write an equation that gives total cost as a function of the number of people attending. What is the cost for people? a. = x 70; $ c. = 70x + ; $ b. = x + 70; $7 d. = 70x ; $9 9. Hans pas $07 in advance on his account at the athletic club. Each time he uses the club, $ is deducted from the account. Write an equation that represents the value remaining in his account after x visits to the club. Find the value remaining in the account after 9 visits. a. V = 07x; $ c. V = 07 x; $ b. V = 07 x; $8 d. V = 07 x; $87 0. What is an equation of the line shown?. Graph the function. a. c. x x b. d. x x

4 . Which of the following is not a solution of the equation represented b the graph? a. (,) b. (-, -) c. (0, ) d. (, ). Graph the inequalit x. a. c. x x b. d. x x

5 . A store is selling mugs and magnets. The store profits $.00 from each mug sold and $.00 from each magnet sold. The store needs to make an average profit of $00 per hour from the sales. Using x as the number of mugs sold and as the number of magnets sold, write and graph an inequalit for the number of each item the store needs to sell. If mugs are sold, how man magnets must be sold?. Joan creates a budget for her monthl expenses. The graph shows how much mone is in the account at different times. Find the slope of the line. Then tell what rate the slope represents.. The table shows the height of a pine tree at each of two ages. What was the tree s average rate of growth during this time period? Age (ears) Height (meters) 9 7. Graph = x.

6 8. Graph the linear equation b finding the x- and -intercepts. a. c x 0 0 x 0 0 b. 0 d x 0 0 x What are the intercepts of the linear function shown?

7 a. 0. The number of pieces of cand in randoml selected jars are, 0,, 0,, 8, 0,, 9, 8,. Displa the data using a histogram. a. Pieces of Cand in Jars c. Pieces of Cand in Jars Frequenc Frequenc Pieces of cand b. Pieces of Cand in Jars Pieces of cand d. Pieces of Cand in Jars Frequenc Frequenc Pieces of cand Pieces of cand. Which equation is the better line of best fit for the data? Justif our answer. x 7 7. Displa the data using a histogram with bars. The numbers of students in different classes at South Pasadena High School:,, 7,,, 9,,,,, 8, 9, 0, 8,

8 . The number of laps around a track for five runners are, 9,,,. Displa the data using a box-and-whisker plot.. The number of calls answered b a dog rescue organization over an 8-da period are given. Use the data to make a box-and-whisker plot.,, 9,,, 7,, 0. The numbers of points scored b Jessica in 8 basketball games are listed below. Create a Box and Whiskers Plot. 0,,,, 0,,,. The number of runs Claudia s baseball team scored in 9 games is shown below. Write out the possible data points for these 9 games. 7. The box-and-whisker plot shows the dail low temperatures, of two different cities. Which data set has a greater median? About how much greater is the median of that data set? Cit A Cit B 8. What is the difference between the interquartile range of the data set represented b the upper box plot and the interquartile range of the data set represented b the lower box plot?

9 9. Group A and Group B were polled about whether the go to the gm regularl. Yes No Total Group A x 7 Group B 7 Total 0 a.) What are the values of x and and what do the represent? b.) What is the joint relative frequenc that a member of Group A goes to the gm regularl? c.) What is the marginal frequenc that a person goes to the gm regularl? d.) What is the conditional relative frequenc that a person goes to the gm regularl given that the are from Group B? 0. At a wedding reception, the guests have a choice of chicken or steak for dinner. Do more people prefer chicken or steak? Do more people under 0 prefer chicken or steak?. A surve of 0 students about which sport, baseball, basketball, football, hocke, or other, the prefer to watch on TV ielded the following two-wa frequenc table. Baseball Basketball Football Hocke Other Total Bos Girls 0 Total 0 a.) How man students prefer watching Football? b.) What is the conditional relative frequenc that a student prefers to watch Football, given that the student is a bo? Write our answer as a decimal rounded to the nearest hundredth.. Describe the strength and direction (positive, negative, none) of the scatter plots below and estimate the value of r. a. b. c.

10 . Ramond opens a carwash and keeps track of his weekl earnings, as shown on the scatter plot below. a. Use the line of best fit that best approximates the data to predict how man weeks after opening he will make $,000. b. Based on this relationship, predict how much Ramond s weekl revenue will be 0 weeks after opening.. Estimate the value of the correlation coefficient (for example: -0., 0.9, 0.78) for the scatter plots below. a. b.. The scatter plot shows the relationship between the weekl total sales ($) and the number of different rug designs a rug store has. Based on this relationship, predict what the total sales will be when the store has 70 different rug designs Total Sales ($) Number of Designs

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