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Lesson 12
Solving Problems with Algebra

Problems 12-2

Directions: Change the "Word Sentences" into Math Expressions, or Equations, when possible.  Consult the Answer Key 12-2 for answers once you finish. Review the Instruction material which relates to any questions you do not get correct.

  1. The larger of two numbers is seven more than five times the other. Their sum is 55. Find the two numbers. = _____
     
  2. Separate 43 into two parts. The first part is five less than three times the second part. Find each part. = _____
     
  3. In a game, Harry's score was three times Ben's score. Together, they scored 80 points. Find each score. = _____
     
  4. The sum of four consecutive numbers is 606. Find the numbers. = _____
      
  5. Abel, Bob and Carl are friends. Their ages add up to 49 years. Abel is eight years younger than Bob, and Carl is three years older than Bob. What are their ages?  = _____
     
  6. Roy is twice as old as Verna. In four years, he will be eight years older than she is. Find the age of each. = _____
     
  7. Steve is 16 years older than Denise. In three years, the sum of their ages will be 32. What is the age of each now? = _____
     
  8. One three- ring binder costs twenty cents less than twice the cost of another. If ten of each of the binders costs $58.00, what is the price of each binder? = _____
     
  9. One computer printer can print three times as many lines per minute as another. If the total output of both printers is 1200 lines per minute, what is the print rate of each printer? = _____
     
  10. George's weekly salary is $200 less than twice John's weekly salary. If together they earn $700 per week, what is the weekly salary of each? =