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Equations and their Solutions

Equations and their Solutions. #7. 3 + 2. 5. VOCABULARY. An equation is a mathematical statement that two expressions are equal. You can think of a correct equation as a balanced scale. 10 + 15. 12 + 15. 27. 27. VOCABULARY.

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Equations and their Solutions

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  1. Equations and their Solutions #7

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

  3. 10 + 15 12 + 15 27 27 VOCABULARY 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.

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

  5. Example 1: Determining Solutions of Equations Determine whether the given value of the variable is a solution. b — 447 = 1,203 for b = 1,650

  6. Example 2: Determining Solutions of Equations Determine whether the given value of the variable is a solution. 27x = 1,485 for x = 54

  7. Example 3 Determine whether the given value of the variable is a solution. A. u + 56 = 139 for u = 73

  8. Example 4 Determine whether the given value of the variable is a solution. B. 45 = 100 - v for v = 55

  9. Example 5 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.

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

  11. Real-World Application: Example 6 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.

  12. Real-World Application: Example 7 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?

  13. Real-World Application: Example 8 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?

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