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Solving Word Problems. Putting Your Translation Skills To Work. Let’s Make A Plan. Verbal Model Ask yourself what you need to know how to solve the problem. Labels This means define the variable Algebraic Model Write a math equation or inequality using your labels and verbal model Solve

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solving word problems

Solving Word Problems

Putting Your Translation Skills To Work

let s make a plan
Let’s Make A Plan
  • Verbal Model
  • Ask yourself what you need to know how to solve the problem.
  • Labels
  • This means define the variable
  • Algebraic Model
  • Write a math equation or inequality using your labels and verbal model
  • Solve
  • Check to make sure your solution makes sense
let s try together
Let’s Try Together
  • You and some friends are at a Chinese restaurant. You order several $2.00 plates of wontons, egg rolls, and dumplings. Your bill is $25.20, which includes tax of $1.20. Use modeling to find out how many plates you ordered.

Start with a verbal model. What do you know about buying food in the restaurant and how you find your bill.

verbal model
Verbal Model
  • Cost of food + tax = amount paid
  • How do you determine cost of food?
  • Each plate costs $2.00 so
  • # of plates  $2.00 = cost of food
  • Final verbal model
  • $2.00  # of plates + tax = amount paid
labels
Labels
  • X = number of plates you purchased
  • 2 = amount paid per plate
  • 1.20 = tax paid on food
  • 25.20 = amount paid for food and tax
algebraic model
Algebraic Model
  • Substitute the labels for the words in the verbal model
  • $2.00  # of plates + tax = amount paid
  • 2x + 1.20 = 25.20
solve it and check your answer
Solve it and Check your answer
  • 2x + 1.20 = 25.20
      • 1.20 - 1.20

2x = 24.00

2 2

x = 12.00

There were 12 plates of food ordered

2(12) + 1.20 = 25.20 ?

24 + 1.20 = 25.20 √

pratice workbook page 17
Pratice Workbook Page 17

Verbal Model

  • $8 per hat has to equal $2480

Labels

  • 8 = cost of one hat x = number of hats
  • 2480 = amount they want to make

Algebraic Model

8x = 2480

Solution

x = 310 hats

Check

8  310 = 2480 √

where are we now
Where are we now?
  • Vocab List is due on Friday during the test
  • Test over all of chapter 1 will be Friday
  • Tutoring available Tues – Fri at 8:15 AM
  • Also Wednesday after school from 4:00 – 5:30 PM
  • Don’t forget homework Pages 39 – 40
  • Walk or SUBWAY, Kudzu and Stereo Problems (#5-20)