Lesson 12
Solving Problems with Algebra
Practice Exercise 12-2

Directions: Change the "Word Sentences" into Math Expressions, or Equations, when possible.  Consult the Answer Key  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 6 less than 7 times the smaller and their sum is 74. What are the two numbers? = _____
    
2. Separate 90 into two parts, so that the second part is 30 less than twice the first part. Find each part. = _____
    
3. Joe's salary is four times Bob's salary. Together they earn $600. Find the salary of each man. = _____
    
4. The sum of three consecutive numbers (like 1, 2, 3) is 456. Find the three numbers. = _____
    
5. Five more than one-fourth of a number is two-thirds of that number. Find the number.  = _____
    
6. John, Bob, and Jim are brothers. The sum of their ages is 39 years. John is four years younger than Bob, and Jim is seven years older. How old is each?  = _____
    
7. Aaron is three times Betty's age. In six years, he will be twice her age. How old is each now?  = _____
    
8. Irv is eight years younger than June. Two years ago, she was three times older than he was. How old is each now?  = _____
    
9. Three tanks hold a total of 2200 gallons of water. The largest tank holds three times as much as the smallest, and twice as much as the other tank. How much water can each tank hold?  = _____
    
10. A 16- foot two-by-four piece of lumber is cut into two pieces so that one piece is three times as long as the other. How long is each piece?  = _____