Solving A Linear Equation

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An interactive powerpoint presentation on how to solve a linear equation.

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Solving A Linear Equation

  1. 1. By: Cassandra Kessler Ed. 205 Sec. 16 Quit
  2. 2. Solving a Linear Equation Definitions Intro Video Steps to Solving a Linear Equation Example 1 Steps to Solving Example 2 Steps to Solving Review Video Practice Problems Answer to Practice Problem 1 Answer to Practice Problem 2 Author’s Page Resources Page Concept Map Quit
  3. 3. Definitions <ul><li>Linear Equation: a mathematical expression that has an equal sign and linear expressions </li></ul><ul><li>Variable: a number that you don’t know, often represented by “x” or “y” but you can use any letter </li></ul><ul><li>Linear Expression: a mathematical statement that performs functions of addition, subtraction, multiplication, and division </li></ul><ul><ul><li>The variable can’t have exponents, can’t multiply or divide two variables, and can’t find the variable under a square root symbol. </li></ul></ul>Quit
  4. 4. Intro Video Click to Play Quit
  5. 5. Steps to Solving a Linear Equation <ul><li>Isolate the terms that contain the variable you wish to solve for. </li></ul><ul><li>Isolate the variable you wish to solve for. </li></ul><ul><li>Substitute your answer into the original equation and check that it works. </li></ul>Quit
  6. 6. Example 1 Solve for x if 2x + 4 = 10 Steps to Solving Quit
  7. 7. <ul><li>Isolate “x” to one side of the equation by subtracting 4 from both sides. </li></ul><ul><li>Divide both sides by 2. </li></ul><ul><li>Check your work with the original equation. </li></ul><ul><li>2x + 4 – 4 = 10 – 4 </li></ul><ul><li>2x = 6 </li></ul><ul><li>2x/2 = 6x/2 </li></ul><ul><li>x = 3 </li></ul><ul><li>2x + 4 = 10 </li></ul><ul><li>(2 * 3) + 4 = 10 </li></ul><ul><li>6 + 4 = 10 </li></ul>Quit
  8. 8. Example 2 Solve for x if 3x – 4 = -10 Steps to Solving Quit
  9. 9. <ul><li>Isolate “x” to one side of the equation by adding 4 to both sides. </li></ul><ul><li>Divide both sides by 3. </li></ul><ul><li>Check your work in the original equation. </li></ul><ul><li>3x – 4 + 4 = -10 + 4 </li></ul><ul><li>3x = -6 </li></ul><ul><li>3x/3 = -6/3 </li></ul><ul><li>x = -2 </li></ul><ul><li>(3 * -2) – 4 = -10 </li></ul><ul><li>-6 – 4 = -10 </li></ul>Quit
  10. 10. Review Video Click to Play Quit
  11. 11. Practice Problems <ul><li>4x – 4 = 8 </li></ul><ul><li>x + 3^2 = 12 </li></ul>Answer Answer Quit
  12. 12. Answer to Practice Problem 1 <ul><li>Isolate “x” to one side of the equation by adding 4 to each side. </li></ul><ul><li>Divide both sides by 4. </li></ul><ul><li>Check your work in your original equation. </li></ul><ul><li>4x – 4 + 4 = 8 + 4 </li></ul><ul><li>4x = 12 </li></ul><ul><li>4x/4 = 12/4 </li></ul><ul><li>x = 3 </li></ul><ul><li>(4 * 3) – 4 = 8 </li></ul><ul><li>12 – 4 = 8 </li></ul>4x – 4 = 8 Quit Back to Practice Problems
  13. 13. Answer to Practice Problem 2 <ul><li>Square the number. </li></ul><ul><li>Subtract both sides by 9. </li></ul><ul><li>Check your work in the original equation. </li></ul><ul><li>x + 3^2 = 12 </li></ul><ul><li>x + 9 = 12 </li></ul><ul><li>x + 9 – 9 = 12 - 9 </li></ul><ul><li>x = 3 </li></ul><ul><li>3 + 3^2 = 12 </li></ul><ul><li>3 + 9 = 12 </li></ul>x + 3^2 = 9 Quit Back to Practice Problems
  14. 14. Resources <ul><li>Definitions, Examples, and Practice Problems </li></ul><ul><li>http://www.studygs.net/equations.htm </li></ul><ul><li>Intro and Review Videos </li></ul><ul><li>http://player.discoveryeducation.com/index.cfm?guidAssetId=49604D23-FEAE-4AF1-A633-034934CBC384&blnFromSearch=1&productcode=US </li></ul>Quit
  15. 15. Author’s Page <ul><li>My name is Cassandra Kessler and I’m a student at Grand Valley State University. I am in my second year and I’m majoring in Mathematics for Secondary Education. I hope to teach Pre-Algebra and Algebra. </li></ul>[email_address] Quit
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