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Lesson 1.5: Solving Problems Algebraically
The 5-step method for solving word problems:
1)Read the problem carefully a few times. Write down what
information is given. Making a sketch may be helpful.
2)Identify what information is asked for. Give it a variable
name
3)Re-read the problem. Then write an open sentence
(variable equation) that represents the relationships among
the numbers in the problem.
4)Solve the open sentence (for now, use mental math)
5)Check your results with the words of the problem. Give
the answer with correct units. It is often helpful to answer
the question with a complete sentence.
75 m
one end other end
1 meter longer
11 inches
18 inches
Try this one on your own…
You made 35 dog collars and you plan on selling all of
them at a craft show. You spent $75 on materials and
you hope to make a profit of $100. How much should
you charge for each collar?
Step 1:
Step 2:
Step 3:
Step 4:
Step 5:

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Chapter1.5 alghonors

  • 1. Lesson 1.5: Solving Problems Algebraically The 5-step method for solving word problems: 1)Read the problem carefully a few times. Write down what information is given. Making a sketch may be helpful. 2)Identify what information is asked for. Give it a variable name 3)Re-read the problem. Then write an open sentence (variable equation) that represents the relationships among the numbers in the problem. 4)Solve the open sentence (for now, use mental math) 5)Check your results with the words of the problem. Give the answer with correct units. It is often helpful to answer the question with a complete sentence.
  • 2. 75 m one end other end 1 meter longer
  • 4. Try this one on your own… You made 35 dog collars and you plan on selling all of them at a craft show. You spent $75 on materials and you hope to make a profit of $100. How much should you charge for each collar? Step 1: Step 2: Step 3: Step 4: Step 5: