1 / 13

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.

calista-kennedy
Download Presentation

Equations and their Solutions

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  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?

More Related