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Warm Up

Warm Up. Problem of the Day. Lesson Presentation. Lesson Quizzes. Warm Up Evaluate each expression for x = 8. 1. 3 x + 5 2. x + 8 3. 2 x – 7 4. 8 x  4 5. 7 x – 1 6. x – 3. 29. 16. 16. 9. 55. 5. 10. 7. 4. Problem of the Day

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Warm Up

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  1. Warm Up Problem of the Day Lesson Presentation Lesson Quizzes

  2. Warm Up Evaluate each expression for x = 8. 1. 3x + 5 2.x + 8 3. 2x – 7 4. 8x  4 5. 7x – 1 6.x – 3 29 16 16 9 55 5

  3. 10 7 4 Problem of the Day Complete the magic square so that every row, column, and diagonal add up to the same total. 9 2 8 6 12 5

  4. Sunshine State Standards MA.6.A.3.2 Write [and] solve…one-step linear equations…

  5. Vocabulary equation solution

  6. 3 + 2 5 An equation is a mathematical statement that two expressions are equal. You can think of a correct equation as a balanced scale.

  7. 10 + 15 12 + 15 27 27 Equations may contain variables. If a value for a variable makes an equation true, that value is a solution of the equation. s + 15 = 27 s = 12 s = 10 s = 12 is a solution because 12 + 15 = 27. s = 10 is not a solution because 10 + 15  27.

  8. Reading Math The symbol  means “is not equal to.”

  9. ? 1,650— 447 = 1,203 ? 1,203 = 1,203 1,203 1,203 Additional Example 1A: Determining Solutions of Equations Determine whether the given value of the variable is a solution. b — 447 = 1,203 for b = 1,650 b — 447 = 1,203 Substitute 1,650 for b. Subtract. Because 1,203 = 1,203, 1,650 is a solution to b — 447 = 1,203.

  10. ? 2754 = 1,485 ? 1,458 = 1,485 1,458 1,485 Additional Example 1B: Determining Solutions of Equations Determine whether the given value of the variable is a solution. 27x = 1,485 for x = 54 27x = 1,485 Substitute 54 for x. Multiply. Because 1,458  1,485, 54 is not a solution to 27x = 1,485.

  11. Check It Out : 1A Determine whether the given value of the variable is a solution. A. u + 56 = 139 for u = 73 73 + 56 = 129, not 139; 73 is not a solution to u + 56 = 139.

  12. Check It Out : 1B Determine whether the given value of the variable is a solution. B. 45 = 100 - v for v = 55 100 - 55 = 45; 55 is a solution.

  13. Check It Out : 1C Determine whether the given value of the variable is a solution. C. 26x = 13 for x = 2 26 × 2 = 52, not 13; 2 is not a solution.

  14. Reading Math An equation has an equal sign, but an expression does not. An equation can be solved, but an expression can only be evaluated or simplified.

  15. ? 36 19 = 664 ? 684 = 664 Additional Example 2 Paulo says that the park is 19 yards long. Jamie says that the park is 664 inches long. Determine if these two measurements are equal. 36  yd = in. Substitute. Multiply. Because 684  664, 19 yards is not equal to 664 inches.

  16. Check It Out : 2A Determine whether the given value of the variable is a solution. Anna says that the table is 7 feet long. John says that the table is 84 inches long . Determine if these two measurements are equal. Yes; there are 12 inches in a foot, and 7 × 12 = 84. 7 feet is equal to 84 inches.

  17. Check It Out : 2B Determine whether the given value of the variable is a solution. Ten Museum Park is a skyscraper in Miami, Florida. It is 585 feet tall. Jerry says that its height is 195 yards. Is Jerry correct? Yes. There are 3 feet in 1 yard, and 585 ÷ 3 = 195. 585 feet is equal to 195 yards.

  18. Check It Out : 2C Determine whether the given value of the variable is a solution. Ralph pays $2 for an individual slice of Pizza. He can buy the entire 8-slice pizza for $12. Is this what he would pay for 8 individual slices? No; 8 × 2 = 16, so 8 individuals slices would cost $16.

  19. Check It Out: 2 continued D. An Olympiad is a period of 4 consecutive years. The Olympiads are numbered consecutively from the first Olympiad which began in 1896. Which Olympiad began on the first day of 2008? Explain. 112 29th Olympiad; 2008 - 1896 = 112, and = 28, so 28 Olympiads were completed in that time span. 4

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