b g b g 1. Use the following graph to solve the proportion. [A] 8 [B] 6 [C] 9 [D] 7 2. Find the slope of the line. [B] slope = 9 7 [C] slope = 9 7

Transcription

1 . Use the following graph to solve the proportion. [A] [B] [C] = a. Find the slope of the line. [A] slope = 7 9 [B] slope = 9 7 [C] slope = 9 7 slope = What is the slope of the line passing through the points A, and B 9,? [A] [B] [C] 7 7

2 . Frankel bought tickets to a puppet show for $5. He bought some children s tickets for $ each and some adults tickets for $5 each. Danina spent $9 and she bought some children s tickets for $ each and some adults tickets for $9 each. Justin bought some children s tickets for $3 each and some adults tickets for $7 each. The sstem of equations represents how much each person spent on tickets. How much did Justin pa? C + 5A = 5 R S T C + 9 A = 9 3C + 7 A = J [A] $7 [B] $30 [C] $ $ 5. Solve. 3 5 = + 7 [A] = [B] = [C] = =. Read the requirements and each applicant s qualifications for obtaining a $0,000 loan, then identif which of the applicants would qualif for the loan. To qualif for a loan of $0,000 an applicant must have an income of $,000 if single ($7,000 combined income if married) and assets of at least $7,000. John Dawson is a bachelor and works at two jobs. He makes $,000 on one job and $,000 on the other; he owns a car worth $,000. Mr. Kerr is married with two children and makes $,000 on his job. His wife does not work. Mrs. Via and her husband have assets of $,000. One makes $,000; the other makes $,000. [A] Mrs. Via [B] Mr. Kerr [C] John Dawson No one Use units to find the missing information. 7. What is the equivalent of a speed of 0 miles per hour in terms of meters per second, to the nearest tenth of a meter per second? (There are 09 meters in mile and 300 seconds in hour.) [A] 7.9 meters per second [C] 7. meters per second [B] 9.5 meters per second. meters per second

3 Use units to find the missing information.. The densit of seawater is approimatel 5 kilograms per cubic meterckg m 3 h. What is that densit in pounds per cubic footclb ft 3 h? ( meter is about 3. feet and kilogram is about.0 pounds.) [A] lb ft 3 [B] lb ft 3 [C] lb ft 3, lb ft 3 9. Given that u =, u =, and u = 5u u where n 3, what is the fifth term of the sequence? n n [A] 7 [B] 3 [C] Which is the correct recursive formula for the sequence, 7, 0, 7,.... F H K =, n = 7F H n K where n [A] u =, un = u 7 where n [B] u = 7, un = 7 un where n [C] u = 7, u = u 7 where n u u u n. Which is the correct recursive formula for the sequence,,,,.... [A] u = un = F Hu, K where n [B] u =, un = F Hu K where n [C] u = un = F Hu, K where n u =, un = F Hu K where n. f the pattern shown is continued, what will be the total number of triangles in Stage 5 of the pattern? Stage + = Stage + + = Stage 3 [A] 0 [B] 0 [C] 0

4 3. A population of 390 animals decreases at an annual rate of %. Write a recursive formula to model the population. [A] u = 353, u = + 0. u where n [B] u = 390, u = 0. u where n [C] u = 390, u = + 0. u where n u = 353, u = 0. u where n. A population of 350 animals decreases at an annual rate of %. Write a recursive formula to model the population. [A] u = 350, u = u where n [B] u = 350, u = 0. u where n [C] u = 303, u = 0. u where n u = 303, u = u where n 5. Sonia drinks cups of coffee each morning. Each cup contains 50 milligrams of caffeine. The human bod can metabolize about % of an caffeine remaining in the blood stream each hour. To the nearest tenth, how man hours does it take until less than half the caffeine remains in Sonia s bloodstream? [A] 3.0 h [B].0 h [C] 5.9 h.5 h. The average price of a loaf of bread n ears after 000 is approimated b the sequence u0 = 3., un = 0. 0un + 3. where n. Use the sequence to predict the average price of a loaf of bread in 00. [A] $.35 [B] $0.03 [C] $.7 $ The average price of a loaf of bread n ears after 000 is approimated b the sequence u0 = 3., un = 0. 05un + 3. where n. Use the sequence to predict the average price of a loaf of bread in 00. [A] $.3 [B] $.33 [C] $.3 $0.03. A factor cuts down about.5% of the products it manufactures each ear. Currentl, the factor manufactures 35 products. The factor also introduces 7 new products each ear. Approimatel how man products will the factor manufacture in 5 ears? [A] 370 [B] 350 [C] 3 30

5 9. A countr s population from 95 through 99 is shown in the table. Year Population (in millions) Determine whether the population is increasing geometricall. f it is, give the common ratio rounded to the nearest hundredth, and write a recursive formula modeling the population. Let n = 0 represent 95. [A] r =.; u =., u = 7. 30u where n [B] r = 7.30; u =. 5, u =. u where n [C] r =.; u = 7. 30, u =. u where n The population is not increasing geometricall. 0. Which is the graph of the first four terms of the sequence u =, un un 3 = + 3 where n? [A] [B] [C] You take out a loan for $,000, with an annual interest rate of.5% for a 5-ear term. Find the monthl pament for this loan. [A] $350. [B] $35. [C] $35. $35.

6 . An investment earns 5.5% simple interest annuall. f $900 is invested, what is the balance after months? [A] $9.50 [B] $9.00 [C] $99.50 $ Which set of numbers has mean 39? l q [B] l7,,,, 9, 3q l q l, 3,,,, 50q [A],, 55, 50, 35, [C] 35, 3, 53, 53,,. Which is a bo plot for the following data? 35, 3,, 3, 35, 30,,, 33, 3, 9, 3, 33, 33, 33 l [A] [B] q [C] Find the lower quartile, median, and upper quartile of the data set., 5,, 9, 0, 7, 3, 3, 5, 7, l [A] 9, 3, 7 [B], 7, 5 [C] 9, 7, 5, 0, 3. Find the mean and standard deviation for the set of data. 0,,,,,,, 7, 5 l q [A] mean: ; standard deviation:.9 [B] mean: 0; standard deviation:.5 [C] mean: ; standard deviation:.5 mean: 0; standard deviation:.9 q

7 7. dentif the bo plot that represents the data. Use the 5. QR definition to name an numbers that are outliers. 7, 35, 9, 7,, 3,,, l [A] q No outliers [B] Outlier: [C] Outlier: No outliers

8 . Test results for the 5 members of the advanced math class are given below. l5, 93,, 7, 75, 9, 7, 9, 5, 5, 5,, 7,, 79, 5, 7, 3, 7,, 9, 7, 7, 5, 77q One of the bars below for a histogram with a bin width of is not correct. Which bar is it? [A] Distribution of Test Results [B] Distribution of Test Results Frequenc Frequenc Results Results [C] Distribution of Test Results Distribution of Test Results Frequenc Frequenc Results Results 9. The following are the scores of 9 students on a recent algebra test. f Martha got a 9 on the test, what percentile would that score represent? [A] [B] [C]

9 30. The histogram shows the number of minutes students at Montrose Junior High tpicall spend on household chores each da. a. How man minutes are included in each interval? b. About how man students spend 7-90 minutes on chores? c. s the number of students who spend more than one hour on chores greater than, equal to, or less than the number of students who spend less than one hour on chores? 0 Number of Minutes Students Spent on Chores Frequenc or Time (min) more [A] a. 5 b. 9 c. Less than [B] a. 9 b. 5 c. equal to [C] a. 5 b. 9 c. Greater than a. 9 b. 5 c. Less than 3. Consider the sequence u = 5 0 u = u + where n n n Which is the equation of the line that contains these points? [A] = 5+ [B] = 5+ [C] = 5+ = Determine the slope of the line that passes through the pair of points. Round to the nearest hundredth. 3., 57.,.9, 7. [A]. [B]. 3 [C] Which of the related quantities, weight of a package or postage required, is the independent variable? [A] Postage required [B] Weight of a package [C] Both Neither

10 3. dentif a graph that shows a reasonable line of fit for the following data [A] [B] 0 0 [C] 0 0

11 35. The table shows the relationship between the cost of renting a car from the Wrecko Car Rental Compan and the number of das for the rental. Draw a scatter plot and find an equation for the line of fit. Use the equation to determine the cost of renting a car for das. Das 3 7 Rental cost $ 5 $ 7 $ 90 $ $ $ [A] $3 [B] $70 [C] $ $5