1. By: Cassandra Kessler Ed. 205 Sec. 16 Quit

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. Definitions  Linear Equation: a mathematical expression that has an equal sign and linear expressions  Variable: a number that you don’t know, often represented by “x” or “y” but you can use any letter  Linear Expression: a mathematical statement that performs functions of addition, subtraction, multiplication, and division The variable can’t have exponents, can’t multiply or divide two variables, and can’t find the variable under a square root symbol. Quit

4. Intro Video Click to Play Quit

5. Steps to Solving a Linear Equation 1. Isolate the terms that contain the variable you wish to solve for. 2. Isolate the variable you wish to solve for. 3. Substitute your answer into the original equation and check that it works. Quit

6. Example 1 Solve for x if 2x + 4 = 10 Steps to Solving Quit

7. Steps to Solving 2x + 4 = 10 1. Isolate “x” to one side of the equation by subtracting 4 from both sides. 2. Divide both sides by 2. 3. Check your work with the original equation. 2x + 4 – 4 = 10 – 4 2x = 6 2x/2 = 6x/2 x = 3 2x + 4 = 10 (2 * 3) + 4 = 10 6 + 4 = 10 Quit

8. Example 2 Solve for x if 3x – 4 = -10 Steps to Solving Quit

9. Steps to Solving 3x – 4 = -10 1. Isolate “x” to one side of the equation by adding 4 to both sides. 2. Divide both sides by 3. 3. Check your work in the original equation. 3x – 4 + 4 = -10 + 4 3x = -6 3x/3 = -6/3 x = -2 (3 * -2) – 4 = -10 -6 – 4 = -10 Quit

10. Review Video Click to Play Quit

11. Practice Problems 1. 4x – 4 = 8 2. x + 3^2 = 12 Answer Quit

12. Answer to Practice Problem 1 1. Isolate “x” to one side of the equation by adding 4 to each side. 2. Divide both sides by 4. 3. Check your work in your original equation. 4x – 4 + 4 = 8 + 4 4x = 12 4x/4 = 12/4 x = 3 (4 * 3) – 4 = 8 12 – 4 = 8 4x – 4 = 8 Quit Back to Practice Problems

13. Answer to Practice Problem 2 1. Square the number. 2. Subtract both sides by 9. 3. Check your work in the original equation. x + 3^2 = 12 x + 9 = 12 x + 9 – 9 = 12 - 9 x = 3 3 + 3^2 = 12 3 + 9 = 12 x + 3^2 = 9 Quit Back to Practice Problems

14. Resources Definitions, Examples, and Practice Problems http://www.studygs.net/equations.htm Intro and Review Videos http://player.discoveryeducation.com/index.cfm?guidAssetId=49604D23-FEAE- 4AF1-A633- 034934CBC384&blnFromSearch=1&pro ductcode=US Quit

15. Author’s Page 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. kessler.cassandra@gmail.com Quit