Generate Expressions

Generate Expressions 1. If a coffee company purchases paper cups at a bell of x cents for a pack fester of ten and lids at a equal of y cents per dozen, which of the pastime represents its material appeal, in cents, of c cups of coffee? 2. If a car rental company charges $100 for apiece rental, a dollars per mile, and b dollars per hour, which of the following represents the do cost to rent a car for 6 hours and travel 250 miles? 100 + 250a + 6b 3. In a program library there be currently B bookshelves, for each champion with 40 books.C new bookshelves are added, accordingly 5 books are added to every bookshelf in the library. How galore(postnominal) 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 first h hours. In impairment of h, where h < 30, how legion(predicate) miles remain to be travelled? 200-6h 5. If Sarah earns d dollars per hour for babysitting, and t dollars per hour of travel tim e, which of the following represents her earnings aft(prenominal) babysitting for 4 hours and traveling i hour to the familys house? 4d+t 6. The cost of a pair of shoes is S dollars.If the shoes go on exchange for P part off of their original impairment, and Joey buys them with a coupon for an spare C percent off of the sale cost, and then what price does Joey pay? 7. If mother fucker jakes mow the front lawn in 15 proceeding less than twice the time it takes Amanda to mow the lawn, and Amanda can mow the lawn in h hours, which of the following expressions represents the time in hours it takes Peter to mow the lawn? 8h 1 4 8. Joe can ride his bike M miles in 1 hour. If he lives 3 miles from school and it takes him N minutes to get there, which of the following represents M in footing of N? 80 N 9. If each support cable can support p pounds, and the issue forth weight of an elevator is m pounds, which of the following represents the number of cables demand to supp ort the elevator? m/p 10. If Kat is four historic period more than 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 two-thirds the time it takes Ted to run the 400 measuring rod thunderbolt, and Rick runs the 400 meter dash 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 eatery offers a discount 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 paid for the meal? 13. A ranging pole twelve feet tall casts a shadow two feet long. If Jill is standing adjoining 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 first hour of work and d dollars for each supernumerary ho ur.If he earns $445 working one returnion line, 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 amount (arithmetic mean) of the 3 poetry above is 3y, what is x in call of y? y 16. An apple orchard has n channelises, and each tree typically produces a apples in a season. If the orchard plants m excess trees, in terms of a, n and m, what go away be the expected issue forth yield of apples? am + an 17. If the mean(a) (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 battery, when fully charged, can power 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 dollars per hour for the f hours she works at the local anaesthetic record store. If s he works more than f hours a week, Susan is paid an spare k dollars per hour for each supererogatory hour. If Susan works a add up 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 periodic 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 less 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 one-third amount is 2x. If one of the metrical composition is y + 3, what is the average of the remaining 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 many additional chairs have been added? (30 + c)(25 + r) 750 23. If Lisas shout out 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 drudge service charges a base fare 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. to each one box of cupcakes costs f dollars to produce and contains c cupcakes. Each cupcake is sell for d dollars. What is the profit from selling a box of cupcakes? Cd-f 26. A new hybrid car can travel t miles per gallon, and the blow out tank can engage 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 Tom 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 tornado bought 8 apples which cost n dollars each and 6 oranges which each cost half 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 utilize to the sale price, which of the following represents the price, in dollars, of the CD? 30. Jen, Liz and Radha decided to take a channel trip across the country. Jen swarm a total of j miles.Liz drive 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 yarn at 2 dollars per foot, and b sackings at 40 cents per button? (1 yard = 3 feet) 6y + 0. 4b 32. Which of the following represents the total cost in dollars for x eager dog buns and y hot dogs if buns cost $7 per dozen and hot dogs cost fifty cents each? 33. Which of the following represents the area 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 that a nickel note will be selected randomly is 1/4. In terms of x, how many coins are neither pennies nor nickels? 37. A swimming pool can hold y gallons at maximum capacity. If a hose can take on the pool 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, go and Jessica all change 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 dodging from tender York to Los Angeles, an planer 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? 5 45 ? 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 force exerted on an object is defined as the product of the mass of the object and its acceleration. The force exerted on a ball is ab initio 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 carton. Each carton has p mail boats 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.