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Solving Word Problems

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  1. Solving Word Problems Putting Your Translation Skills To Work

  2. 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

  3. 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.

  4. 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

  5. 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

  6. Algebraic Model • Substitute the labels for the words in the verbal model • $2.00  # of plates + tax = amount paid • 2x + 1.20 = 25.20

  7. 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 √

  8. 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 √

  9. Practice 17 and 18 # 2 and 3

  10. 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)