VIEWS: 20 PAGES: 5 POSTED ON: 6/19/2011
A.7 Linear Functions: The student formulates equations and inequalities based on linear functions, uses a variety of methods to solve them, and analyzes the solutions in terms of the situation. (C) For given contexts, the student interprets and determines the reasonableness of solutions to linear equations and inequalities. 2003 9th Grade 40) The cost of renting a DVD at a certain store is described by the function f(x) = 4x + 3 in which f(x) is the cost and x is the time in days. If Lupe has $12 to spend, what is the maximum number of days that she can rent a single DVD if tax is not considered? F 1 G 2 H 3 J 7 2004 9th Grade 5) A recycling center pays $0.35 per pound of glass that it receives. If students at Falcon High School want to raise $500 in a glass-recycling project, what is a reasonable number of pounds of glass they must collect? A 750 lb B 175 lb C 500 lb D 1500 lb 2006 9th Grade 27) Harris has $20.92 to spend on video-game rentals at a local video store. The store charges $3.95 per video- game rental plus an 8.125% tax. What is the maximum number of video games that Harris can rent? A 5 B 4 C 6 D 3 2006 9th Grade 52) A florist plans to sell bouquets for $25 each. He wants to use only roses and carnations in each bouquet and needs to charge the following amount for each type of flower. $1.50 per rose $1.25 per carnation Which of these combinations of roses and carnations will result in bouquets that the florist can sell for exactly $25 each? I. 18 roses and 2 carnations II. 6 roses and 10 carnations III. 10 roses and 8 carnations IV. 5 roses and 14 carnations F I and II only G II and III only H III and IV only J I and IV only A.7.C For given contexts, the student interprets and determines the reasonableness of solutions to linear equations and inequalities. 2009 9th Grade 9) Josh earns money by washing cars in his neighborhood. He spent $215 on supplies and charges $15 for each car washed. Josh’s profit, p, can be represented by the function p = 15n − 215, where n represents the number of cars that Josh washes. What is the minimum number of cars Josh must wash to make a profit? A 14 B 29 C 15 D Not here 2009 9th Grade 31) There are 8 sixth-grade classes and 195 sixth grade students at Edison Middle School. The equation 8s = 195 can be used to determines, the mean number of students per class. Based on the solution s = 24.375, which of the following statements could be true? A There are 5 sixth-grade classes with 24 students each and 3 sixth-grade classes with 25 students each. B There are 7 sixth-grade classes with 24 students each and 1 sixth-grade class with 25 students. C There are 8 sixth-grade classes with 25 students each. D There are 8 sixth-grade classes with 24 students each. 2004 10th Grade 46) In 1998 the enrollment at a community college was approximately 2500 students. In 2002 the enrollment had increased to 3250 students. If the enrollment continues to increase at this rate, what is a reasonable projection of enrollment for 2010? F 4750 G 5750 H 6250 J 9000 2006 10th Grade 20) In 2004 a married couple could have calculated their estimated income tax, t, for that year using the equation t = 0.25c − 6525, in which c represents their combined taxable income. If a married couple had a combined taxable income between $60,000 and $64,000, which of the following is a reasonable amount for their income tax? F $6,525 G $8,975 H $13,869 J $15,500 2008 Released 10th Grade 12) The state of Texas has a sales tax rate of 6.25% for all taxable items. Cities in Texas can collect up to an additional 2% sales tax on taxable items. If a customer purchased $1080 in merchandise, $225 of which is not taxable, what is a reasonable range for the combined state and city taxes for this purchase? A $14 to $19 B $17 to $53 C $53 to $71 D $67 to $90 A.7.C For given contexts, the student interprets and determines the reasonableness of solutions to linear equations and inequalities. 2009 10th Grade 22) The formula below can be used to convert temperatures in degrees Fahrenheit, F, to temperatures in 5 degrees Celsius, C. C = (F − 32) On a certain day temperatures at the North Pole were between 9 −20°F and −15°F. Which of these is a reasonable temperature in degrees Celsius for that day at the North Pole? F −30°C G −22°C H −27°C J −11°C 2003 Exit 23) Valerie purchased x tubes of lipstick at $4 each and y bottles of nail polish at $2 each. She spent less than $12, not including tax. Use the grid below to graph the inequality 4x + 2y < 12. Which point represents a reasonable number of lipsticks and bottles of nail polish that Valerie purchased? A (1, 5) B (2, 3) C (1, 3) D (2, 2) A.7.C For given contexts, the student interprets and determines the reasonableness of solutions to linear equations and inequalities. 2004 Exit 48) The amount of an employee’s weekly pay, p, including a bonus, can be represented by the inequality 6.00h + 100 < p < 6.50h + 125, where h represents the number of hours worked by the employee. If an employee worked 25 hours, which of the following is a reasonable amount for that week’s pay? F $118.75 G $250.00 H $272.50 J $290.25 2004 Summer Exit 58) A waitress at a restaurant calculated her daily pay, p, using the equation p = 0.15f + 17.60, where f is the total amount of food purchased by customers. If the waitress sold between $600.00 and $720.00 in food, then the amount of her daily pay should be between — F $40.00 and $48.00 G $57.60 and $65.60 H $90.00 and $108.00 J $107.60 and $125.60 2005 October Exit 59) The Future Teachers of America club sold cookies for $0.25 each and cupcakes for $0.50 each to raise money to attend the state convention. If the club raised $24.75 from selling cookies and cupcakes during lunchtime, which of the following is a reasonable combination of the number of cupcakes and cookies that were sold? A 24 cookies and 51 cupcakes B 50 cookies and 25 cupcakes C 51 cookies and 24 cupcakes D 35 cookies and 30 cupcakes 2006 February Exit 39) Hoaung went to a doughnut shop where jelly-filled doughnuts cost $0.50 including tax and glazed doughnuts cost $0.30 including tax. If Hoaung has $2 to spend and wants to purchase at least one of each of these two kinds of doughnuts, which of the following does not represent a reasonable combination of doughnuts that he could purchase? A 2 jelly-filled doughnuts and 2 glazed doughnuts B 2 jelly-filled doughnuts and 3 glazed doughnuts C 3 jelly-filled doughnuts and 2 glazed doughnuts D 1 jelly-filled doughnut and 5 glazed doughnuts 2006 Exit 55) Lisa wants to make a long-distance telephone call to her friend. She does not want to spend more than $5.00 on the telephone call. If there is a $0.50 connection fee and a charge of $0.11 per minute, which best represents the number of minutes that Lisa can talk to her friend? 2006 Summer Exit 59) Ms. Collins’s car traveled between 25 and 29 miles per gallon of gasoline on a recent road trip. If the road trip was 614 miles, which could be the number of gallons of gasoline that Ms. Collins used during this road trip? A 23 gal B 29 gal C 21 gal D 25 gal 2008 Released Exit 11) Mr. Benítez wants to buy a carton of oranges for $32.50. Each orange weighs about 4.6 ounces and will be packed into a carton that holds between 18 and 22 pounds. What is the greatest number of oranges that the carton can hold without its weight limit being exceeded? A 76 B 62 C 82 D 101 2009 Exit 13) Ms. Rodríguez plans to order from 20 to 26 books for her class. The prices of the books she plans to order range from $4.95 to $12.95 each. If the publisher charges a shipping fee of $0.50 per book ordered, which of the following is not a reasonable price for the books, including shipping? A $145 B $245 C $345 D $445