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Steps for Solving Algebraic Word Problems - h1014v1_158

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WORD PROBLEMS Algebra Step 2. Express  the  other  unknowns  in  terms  of  x  using  the  information given in the problem. Step 3. Write an equation that says in symbols exactly what the problem says in words. Step 4. Solve the equation. Step 5. Check   the   answer   to   see   that   it   satisfies   the conditions stated in the problem. Example   1: What  are  the  capacities  of  two  water  storage  tanks  in  a  nuclear  facility  if  one  holds  9 gallons less than three times the other, and their total capacity is 63 gallons? Solution: Step 1. Let  x  = Capacity of the Smaller Tank Step 2. Then, 3- 9 = Capacity of the Larger Tank Step 3. Total Capacity = Capacity of the Smaller Tank + Capacity of the Larger Tank 63 = + (3- 9) Step 4. Solving for x: + (3- 9)    = 63 4- 9  = 63 4x  = 63 + 9 4x  = 72 x  = 18 MA-02 Page 44 Rev. 0



   


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