Writing TwoStep Equations

1
Writing Two-Step Equations

• September 10, 2008
• EQ A taxicab charges a 2 fee plus an additional
  1.50 for every mile driven. Your cab ride cost
  17. How many miles did you travel?

2
Problem Solving Plan

• What are we going to do to help us solve word
  problems?
• Underline key facts
• Reread the Problem
• Write out a verbal model.

3
What is a verbal model?

• Verbal Model
• A word equation that represents a real-world
  situation
• Why will this be helpful?
• Help visualize the problem
• Put the problem into 2-step equation form

4
Using Verbal Model

• It costs a zoo 1150 per year to feed its Grizzly
  Bears. Each additional bear will cost 575 per
  year to feed. The zoos budget for the bears
  food next year is 2875. Write and solve an
  equation to find how many new bears the zoo can
  buy next year?
• Budget Cost of each Number
  of Cost of the
• Available new Grizzly new
  Grizzlies existing Grizzlies

5
Using Verbal Model

• This year, a zoo spent 1580 to feed its
  flamingos. Next year, its budget for feeding the
  flamingos is 2370. Next year, it will cost 395
  to feed each additional flamingo. How many
  additional flamingos can the zoo buy?
• What would the verbal model look like?

6
Using Verbal Model

• Solve
• You have to read several books for class. There
  are a total of 1244 pages. You have already read
  500 pages. If there are 6 weeks left in the term,
  how many pages do you have to read per week?

7
Translating Verbal Phrases

• The sum of four times a number and -6 is 14. What
  is the number?

8
Homework

• Section 3.4 Worksheet
• (Practice Workbook)