HANDS-ON EQUATIONS® VERBAL PROBLEMS

These verbal problems are appropriate for average students in grades 4-8, upon completion of Level I.  The students may use their HANDS-ON EQUATIONS® kit to set up and solve these problems, or they may use the pictorial notation of Lesson #7.  Click here for sample solutions. Click here to open up the document,"Suggestions for Teaching Verbal Problems Using Hands-On Equations" by Dr. Borenson.  

Note:  If a student prefers to solve these problems mentally, or by guessing and checking, such a solution should be accepted.

  1. Three times a number, increased by 1, is 25.  Find the number.
     
  2. Four times a number, increased by 3, is the same as twice the number, increased by 9.  Find the number.
     
  3. Sally is 4 years older than Tim.  Together, the sum of their ages is 20.  How old is each?
     
  4. Juan is three times as old as Carmen.  Together, their ages add up to 24.  How old is each?
     
  5. Jim is 2 years older than 3 times his little brother, Tommy.  Together, their ages add up to 18.  How old is each?
     
  6. John is 6 years older than Keisha.  Together, their ages equal four times Keisha's age.  How old is each?
     
  7. You can buy 5 small pizzas for the same price as 3 small pizzas and 10 one-dollar drinks.  How much does each pizza cost?
     
  8. Old McDonald's 3 hens each lay the same number of eggs one week.  This gives Old McDonald's wife enough eggs to make two recipes.  One recipe requires 10 eggs and the other recipe requires 2 eggs.  How many eggs did each hen lay?
     
  9. The vet put 2 litters of kittens in a cage with 5 other kittens.  She also put 3 litters of puppies in the next cage with 1 other puppy.  If all of the litters have the same number of animals and the cages now contain the same number of animals, how many animals are in each litter?
     
  10. Brian buys 1 pack of baseball cards to add to the 2 cards a friend gave him.  Then his mother gives him 2 more packs as a special treat.  Now he has as many cards as Marcus who owns 1 pack plus 12 loose cards.  How many cards are in each pack?

     
  11. Curly, Larry and Moe each have a collection of silver dollars. Curly has 5 more coins than Moe, and Larry has double the number of coins that Curly has. The sum of the number of silver dollars in the entire collection is 35. How many coins did each person have? (Pictorial)                                                            

 12. The sum of three consecutive numbers is the same as twice the value of the last number.    Find the numbers (Pictorial)                                   

             © 2007, 2002, Borenson and Associates, Inc., Allentown, PA 18106

The Hands-On Equations Verbal Problems Book by Henry Borenson, Ed.D., contains more than 250 number, consecutive number, age, coin and distance problems for Levels I, II and II.

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