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1-19-11

1-19-11. Bellwork #38 HW, red pen, book, pencil on desk. Solving Multi-step Equations. Lesson 7-2 p.340. Multi-step equations. Here is another type of equation that we can solve: 2x + 7 + 3x = 42 How is this equation different?. Multi-step equations.

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1-19-11

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  1. 1-19-11 • Bellwork #38 • HW, red pen, book, pencil on desk.

  2. Solving Multi-step Equations Lesson 7-2 p.340

  3. Multi-step equations • Here is another type of equation that we can solve: • 2x + 7 + 3x = 42 • How is this equation different?

  4. Multi-step equations • Here is another type of equation that we can solve: • 2x + 7 + 3x = 42 • How is this equation different? • There are two x terms in the equation.

  5. Multi-step equations • To solve this type of equation, we first combine like terms, then solve as before. • 2x + 7 + 3x = 42 5x + 7 = 42

  6. Multi-step equations • To solve this type of equation, we first combine like terms, then solve as before. • 2x + 7 + 3x = 42 5x + 7 = 42 first combine like terms -7 -7subtract 7 from both sides 5x = 35 5 5 divide both sides by 5 and x = 7 solve.

  7. Try This • 4g + 6g -3 = 37 • -7y + 9 + 3y = 41

  8. Try This • 4g + 6g -3 = 37 g = 4 • -7y + 9 + 3y = 41

  9. Try This • 4g + 6g -3 = 37 g = 4 • -7y + 9 + 3y = 41 y = -8

  10. Word Problems • Some word problems can be set up as an equation and solved in the same way. A common type is the “consecutive integer” problem. • What does the word consecutive mean?

  11. Word Problems • Some word problems can be set up as an equation and solved in the same way. A common type is the “consecutive integer” problem. • What does the word consecutive mean? • It means “in sequence” or “in order”

  12. Word Problems • Some word problems can be set up as an equation and solved in the same way. A common type is the “consecutive integer” problem. • What does the word consecutive mean? • It means “in sequence” or “in order” • 13,14,15 are consecutive numbers. • So are -4, -3, -2.

  13. Consecutive numbers • Find 3 consecutive numbers whose sum is 48. • Let the smallest number = n. • The next number is one more than n so the next number = n + 1 • The third number is two more than n so the third number is n + 2

  14. Consecutive numbers • 1st number = n • 2nd number = n + 1 • 3rd number = n + 2 • The sum of the three numbers is 48, so n + n + 1 + n + 2 = 48 3n + 3 = 48 3n = 45 n = 15

  15. Consecutive numbers • 1st number = n n = 15 • 2nd number = n + 1 n + 1 = 16 • 3rd number = n + 2 n + 2 = 17 • The consecutive numbers are 15, 16, 17

  16. Try This • The sum of 3 consecutive numbers is 78. Find the three numbers.

  17. Try This • The sum of 3 consecutive numbers is 78. Find the three numbers. • 25, 26, 27

  18. More consecutive numbers • Sometimes a problem might ask for consecutive even numbers. An example would be 8,10,12. • What is the difference between the first 2 numbers?

  19. More consecutive numbers • Sometimes a problem might ask for consecutive even numbers. An example would be 8,10,12. • What is the difference between the first 2 numbers? +2 • What is the difference between the first and last number?

  20. More consecutive numbers • Sometimes a problem might ask for consecutive even numbers. An example would be 8,10,12. • What is the difference between the first 2 numbers? +2 • What is the difference between the first and last number? +4 • The three numbers are n, n+2, and n+4

  21. Let’s try one • Find 3 consecutive ODD integers whose sum is 105.

  22. Let’s try one • Find 3 consecutive ODD integers whose sum is 105. • 33, 35, 37

  23. Agenda 1-19-10 • PA#2 • P.343#4-6, 11-16, 27,28

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