Thursday, July 18, 2019
Generate Expressions 1. If a cocoa society purchases paper cups at a toll of x cents for a bundle of ten and lids at a toll of y cents per dozen, which of the sideline represents its material represent, in cents, of c cups of coffee? 2. If a machine lease go with charges $100 for to separately(prenominal) single rental, a dollars per mile, and b dollars per bit, which of the adjacent represents the f altogether damage to rent a automobile for 6 hrs and strike 250 miles? 100 + 250a + 6b 3. In a library there be currently B bookshelves, to each bingle with 40 books.C new bookshelves be added, hencece 5 books ar added to every bookshelf in the library. How umteen books have been added to the library? 45C + 5B 4. A boat drifts down a 200-mile river at a rate of 6 miles per hour for the commencement exercise h hours. In call of h, where h 30, how more miles remain to be traveled? 200-6h 5. If Sarah earns d dollars per hour for babysitting, and t dollars per hour of travel sentence, which of the side by side(p) represents her earnings afterward babysitting for 4 hours and traveling unitary hour to the familys house? 4d+t 6. The follow of a pair of shoes is S dollars.If the shoes go on trade for P per centum off of their pilot program harm, and Joey buys them with a verifier for an superfluous C percent off of the cut-rate sale price, then what price does Joey pay? 7. If Peter trick mow the front lawn in 15 minutes slight(prenominal) than twice the beat it takes Amanda to mow the lawn, and Amanda screw mow the lawn in h hours, which of the following feels represents the time in hours it takes Peter to mow the lawn? 8h 1 4 8. Joe apprise ride his bike M miles in 1 hour. If he lives 3 miles from groom and it takes him N minutes to crap there, which of the following represents M in foot give way of N? 80 N 9. If each guard cable can support p pounds, and the number weight of an face lifting is m pounds, wh ich of the following represents the number of cables compulsory to support the elevator? m/p 10. If Kat is four years more(prenominal) than(prenominal) than twice as old as Andrew, and Kat is a years old, which of the following expressions represents the age of Andrew? 11. If Rick takes 10 seconds more than twain- thirdlys the time it takes Ted to run the 400 measure crush, and Rick runs the 400 meter twinkle in s seconds, which of the following expressions represents the time it takes Ted to run the 400 meter dash? 2. The original price of for a meal is p dollars. During lunch, however, the restaurant offers a throw out of x percent. Janet also uses a coupon that offers y dollars off the discounted price. Which of the following represents the price, in dollars, that Janet give for the meal? 13. A range pole twelve feet large casts a tincture two feet long. If Jill is wearing next to the flagpole and casts a shadow that is x inches long, how tall is Jill, in feet? 14 . A repairman charges f for the startle hour of work and d dollars for each sp are hour.If he earns $445 operative one job, and he is there for more than one hour, which of the following expressions represents the time he spent at the job? 15. If the medium (arithmetic mean) of the 3 numbers above is 3y, what is x in hurt of y? y 16. An apple orchard has n trees, and each tree typically produces a apples in a season. If the orchard plants m supernumerary trees, in terms of a, n and m, what pass on be the expected essential behave of apples? am + an 17. If the add up (arithmetic mean) of w + 2 and 3w is y and the average of 3w 4 and w is x, what is the average of x and y? 2w ? 8. A laptop stamp battery, when fully charged, can cause a computer for h hours. The battery takes j minutes to fully charge. If the battery charged for k minutes, and k j, which of the following represents the amount of time, in hours, the battery can power the computer? 19. Susan is paid m do llars per hour for the f hours she kit and boodle at the local anaesthetic record store. If she works more than f hours a hebdomad, Susan is paid an supererogatory k dollars per hour for each additional hour. If Susan works a total of h hours in a week, and h f, in terms of m, f, k and h, what is Susan paid for the week? m + hk kf 20. Derek and Pete are all paid hourly for their work at the local coffee shop. Derek is paid 10 dollars per hour, which is a dollars per hour more than Pete. Derek also works 37 hours each week, which is b hours slight(prenominal) than Pete. If Pete earns c dollars in a week, what is a in terms of b and c? 21. The average (arithmetic mean) of terce numbers is 2x. If one of the numbers is y + 3, what is the average of the remain two numbers in terms of x and y? 22. An auditorium originally has 30 chairs per row and a total of 25 rows.The auditorium undergoes renovations so that each of the rows is extended by c chairs, and an additional r rows are added. In terms of r and c, how legion(predicate) additional chairs have been added? (30 + c)(25 + r) 750 23. If Lisas phone company charges ten cents per minute for phone calls and 15 cents for each text message, which of the following represents the total bill (in dollars) due to the phone company if Lisa talked for m minutes and sent t texts? 0. 10m + 0. 15t 24. A revenue enhancementi service charges a base nutriment of d dollars, and then an additional b dollars per quarter-mile. If the total fare was $11. 5, which of the following represents the total distance traveled? 25. Each box of cupcakes appeals f dollars to produce and contains c cupcakes. Each cupcake is exchange for d dollars. What is the profit from selling a box of cupcakes? Cd-f 26. A new hybrid railroad car can travel t miles per gallon, and the gas tank can hold g gallons of gas. If gas costs $2 per gallon, which of the following represents the cost, in dollars, required to travel one mile? 2/t 27. If To m is seven years less than twice as old as Rick, and Rick is n years old, which of the following expressions represents the age of Tom? n 7 28. Which of the following represents the total cost, in dollars, if crack cocaine bought 8 apples which cost n dollars each and 6 oranges which each cost fractional as much as an apple? 11n 29. The original price of a CD was d dollars, but it was discounted x percent during a seasonal sale. If the sales tax of y percent was applied to the sale price, which of the following represents the price, in dollars, of the CD? 30. Jen, Liz and Radha refractory to take a road gaucherie across the country. Jen drove a total of j miles.Liz drove 100 miles less than twice as many miles as Jen drove, and Radha drove half as many miles as Liz. In terms of j, what was the average miles each person drove? 31. Which of the following represents the total cost, in dollars, of y yards of thread at 2 dollars per foot, and b buttons at 40 cents per button? (1 y ard = 3 feet) 6y + 0. 4b 32. Which of the following represents the total cost in dollars for x hot dog buttocks and y hot dogs if buns cost $7 per dozen and hot dogs cost fifty cents each? 33. Which of the following represents the arena of the figure shown above? (a c b) + 1/2(c + b)2 34. The average (arithmetic mean) of three numbers is x. If one of the numbers is 2y 1, what is the average of the remaining two numbers in terms of x and y? S and T are consecutive even integers with T S. S is what percent of T? 35. A car rental company charges r dollars for the first hour and then it charges any additional hours at a rate of s dollars per hour. If the total cost for a rental is t dollars and the rental lasts longer than one hour, which of the following expressions represents the length of the rental in hours? t r + s s 36. There are x coins in a jar. If one coin is to be selected at random, the probability that a penny will be selected randomly is 2/5 and the probability th at a plate will be selected randomly is 1/4. In terms of x, how many coins are neither pennies nor nickels? 37. A swimming puss can hold y gallons at maximum capacity. If a hose can fill the share at a rate of x gallons per second, which of the following expressions represents the time, in minutes, to fill an empty swimming pool to 90% capacity? 38. Lisa, Sally and Jessica all sold lemonade outside of their houses.Lisa sold k cups of lemonade. Sally sold five cups less than twice as many cups of lemonade as Lisa, and Jessica sold nine cups more than three times the number of cups that Sally sold. In terms of k, how many cups of lemonade did Jessica sell? 6k 6 39. The average of 2 numbers is A. When a third number is included, the average becomes B. What is the third number in terms of A and B? 3B 2A 40. In a six-hour leak from New York to Los Angeles, an sheet averages 200 miles per hour during the first t hours until it reaches cruising altitude.Once at the cruising altitude , the airplane travels at 545 miles per hour for the remainder of the trip. If terms of t, where t 6, how far is the flight? 545 ? 6 345t 41. If the steps above are followed in order, which of the following is a simplified expression for the result? -7y + 11x 42. Jacob wants to buy new school supplies. If pens cost 75 cents each and notebooks cost 2 dollars each, which of the following represents the cost, in dollars, of p pens and n notebooks? 43. The advertize exerted on an physical object is defined as the product of the potentiometer of the object and its acceleration. The force exerted on a testis is initially f.If the mass of the ball remains the same but the acceleration decreases by a factor of three, what is the resulting force on the ball? 44. The original price of a pair of pants was p dollars but they were discounted x percent during a seasonal sale. If the sales tax of y percent was applied to the discounted price, which of the following represents the price, in dollars, of the pants? 45. A hotdog stand buys hot dogs by the cartonful. Each carton has p mailboats of hot dogs, and each package contains h hot dogs. If each carton of hot dogs costs c dollars, what is the cost per hot dog? c/ph 46.