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1- 6 Translating Problems into Equations

1- 6 Translating Problems into Equations. Objective: To translate simple word problems into equations. 1- 6 Translating Problems into Equations. Objective: To translate simple word problems into equations. Step 1: Read the problem carefully. 1- 6 Translating Problems into Equations.

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1- 6 Translating Problems into Equations

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  1. 1- 6 Translating Problems into Equations • Objective: To translate simple word problems into equations.

  2. 1- 6 Translating Problems into Equations • Objective: To translate simple word problems into equations. • Step 1: Read the problem carefully

  3. 1- 6 Translating Problems into Equations • Objective: To translate simple word problems into equations. • Step 1:Read the problem carefully • Decide what the unknowns are

  4. 1- 6 Translating Problems into Equations • Objective: To translate simple word problems into equations. • Step 1: Read the problem carefully • Decide what the unknowns are • Decide what are the facts

  5. 1- 6 Translating Problems into Equations • Step 2: Choose a variable and represent the unknowns. • Choose a variable for one unknown

  6. 1- 6 Translating Problems into Equations • Step2: Choose a variable and represent the unknowns. • Choose a variable for one unknown • Write an expression for the other unknown using the variable and one of the facts. ONLY 1 variable not TWO.

  7. 1- 6 Translating Problems into Equations • Step 3: Reread the problem and write an equation.

  8. 1- 6 Translating Problems into Equations • Step 3: Reread the problem and write an equation. • Use the other fact from the problem to write an equation.

  9. 1- 6 Translating Problems into Equations • Example 1: Write an equation. • (1) Marta has twice as much money as Heidi. • (2) Together they have $36. • How much money do they each have?

  10. 1- 6 Translating Problems into Equations • Example 1: • Step 1:The unknowns are

  11. 1- 6 Translating Problems into Equations • Example 1: • Step 1:The unknowns are the amounts of money Marta and Heidi have. • The known is they have $36 together.

  12. 1- 6 Translating Problems into Equations • Example 1: • Step 2: Choose a variable: • Let h = Heidi’s amount.

  13. 1- 6 Translating Problems into Equations • Example 1: • Step 2: Choose a variable: • Let h = Heidi’s amount. • Use h and other info to write Marta’s amount:

  14. 1- 6 Translating Problems into Equations • Example 1: • Step 2: Choose a variable: • Let h = Heidi’s amount. • Use h and other info to write Marta’s amount:2h = Marta’s amt

  15. 1- 6 Translating Problems into Equations • Example 1: • Step 2: Choose a variable: • Let h = Heidi’s amount. • Use h and sentence 1 to write Marta’s amount: 2h = Marta’s amt • Step 3: Use other info to write an equation:

  16. 1- 6 Translating Problems into Equations • Example 1: • Step 2: Choose a variable: • Let h = Heidi’s amount. • Use h and sentence 1 to write Marta’s amount: 2h = Marta’s amt • Step 3: Use other info to write an equation:

  17. 1- 6 Translating Problems into Equations • Example 1: • Step 2: Choose a variable: • Let h = Heidi’s amount. • Use h and sentence 1 to write Marta’s amount: 2h = Marta’s amt • Step 3: Use other info to write an equation: • h + 2h = 36

  18. 1- 6 Translating Problems into Equations • Example 2: Translate: • (1) A wooden rod 60 in. long is sawed into two pieces. • (2) One piece is 4 in. longer than the other. • What are the lengths of the pieces?

  19. 1- 6 Translating Problems into Equations • Example 2: • Step 1: The unknowns are the lengths of the pieces.

  20. 1- 6 Translating Problems into Equations • Example 2: • Step 1: The unknowns are the lengths of the pieces. The known is the whole length is 60 in.

  21. 1- 6 Translating Problems into Equations • Example 2: • Step 1: The unknowns are the lengths of the pieces. The known is the whole length is 60 in. • x • 60 in

  22. 1- 6 Translating Problems into Equations • Example 2: • Step 1: The unknowns are the lengths of the pieces. The known is the whole length is 60 in. • x x + 4 • 60 in

  23. 1- 6 Translating Problems into Equations • Example 2: • Step 2:Choose a variable: Let x be the shorter side. Then x+ 4 is the longer side.

  24. 1- 6 Translating Problems into Equations • Example 2: • Step 2:Choose a variable: Let x be the shorter side. Then x + 4 is the longer side. • Step 3: Use sentence 1 or the known to write an equation:

  25. 1- 6 Translating Problems into Equations • Example 2: • Step 2:Choose a variable: Let x be the shorter side. Then x + 4 is the longer side. • Step 3: Use sentence 1 or the known to write an equation: • x + x + 4 = 60

  26. 1- 6 Translating Problems into Equations • Homework: P. 24 Problems; 3 – 18 every third • Adv & alg p. 24 1 - 10

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