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Multi-Step Equations

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  • Solve for x. 3(x - 5) = x + 11
    x = 13
  • Solve for x. 13x - 9 = 10x - 18
    x = 9
  • A DVD club charges a monthly membership fee of $4.95 and $11.95 for each DVD purchased. If a customer’s bill for the month was $64.70, how many DVDs did the customer purchase?
    5 DVDs
  • Solve for x. 5 - 3x + 9 = 4(x - 8) - 3
    x = 7
  • A lawyer charges $100 per month to be put on retainer for a client. The lawyer also charges an hourly rate of $75 for work done. How many hours does the lawyer have to work for a client, in one month, to charge $625?
    7 hours
  • At the football game, Eli gained 92 yards rushing. Samuel gained 30 yards more than Eli.What was the total number of yards gained by both boys during the football game?
    214
  • Joshua bought new pencils for $2 and new crayons for $1. He paid with a $5 bill. How much change did Joshua get back after paying for his new supplies?
    $2
  • 7x - 4(x + 2) = 8x - 4 - 7x
    x = 2
  • A rectangular pool is twice as long as it is wide. What are the dimensions of the pool if the perimeter is 48 yd?
    The rectangle is 8 yards wide & 16 yards long
  • 23 puppies are for sale at the pet store. 14 puppies are black and 6 puppies are brown. The rest of the puppies have spots. How many puppies have spots?
    3
  • Solve for x. -4x - 10 = 2x + 14
    x = -4
  • McBonald’s sells 4 times the number of large drinks as small drinks and one-half as many medium drinks as small drinks. a) If McBonald’s sells 1,705 drinks in one month, then how many of each size drink were sold?
    310 small drinks, 155 medium drinks & 1,240 large drinks were sold
  • Two friends rent an apartment together. They agree that one person will pay 1.5 times what the other person pays. If the rent is $850, how much will each friend pay?
    $340 for one friend & $540 for the other
  • Solve for x. 4(x - 2) = 2(x + 8)
    x = 12
  • A shopper’s discount club charges a monthly fee of $15 and sells gasoline for $2.05 per gallon. The gas station across the street sells gasoline for $2.35 per gallon and charges no fee. How many gallons of gasoline would you have to buy in
    50 gallons
  • Last weekend was a big day at the museum. On Friday, 32 classes visited the exhibit. Three times as many classes visited on Saturday than Friday. How many classes in all visited on both days?
    128 classes
  • William keeps several tanks of exotic fish at his house. he feeds then 4 containers of fish food each day. Each container of fish food costs $2. How much money does William spend on fish food in one week?
    $56
  • Amelia bought 40 plain black shirts for $4 each. She painted designs on them and then sold each T-shirt for $7.50. How much money did she make selling her T-shirts?
    $300
  • Solve for x. 5x - 3 = 3x + 5
    x = 16
  • Solve for x. 5(x + 4) - 3x = x + 10 + x
    0 = 10 ; No solution