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 • Check to make sure your solution makes sense

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

• 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

• 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

• 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

• 2x + 1.20 = 25.20- 1.20 - 1.20 2x = 24.00 2 2 x = 12.00There were 12 plates of food ordered2(12) + 1.20 = 25.20 ?24 + 1.20 = 25.20 √

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 √

Practice 17 and 18 # 2 and 3

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)