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# Solving one step equations

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### Solving one step equations

1. 1. Solving One-Step Equations
2. 2. Definitions <ul><li>Term : a number, variable or the product or quotient of a number and a variable. </li></ul>Created by S. Koch - 2003 <ul><li>X 2w c </li></ul><ul><li>3 </li></ul>
3. 3. <ul><li>Terms are separated by addition (+) or subtraction (-) signs. </li></ul><ul><li>3a – 2/5b + 7x – 4z + 52 </li></ul>Created by S. Koch - 2003 How many Terms do you see? 5
4. 4. Definitions <ul><li>Constant : a term that is a number. </li></ul><ul><li>Coefficient : the number value in front of a variable in a term. </li></ul>Created by S. Koch - 2003
5. 5. <ul><li>3x – 6y + 18 = 0 </li></ul><ul><li>What are your coefficients? </li></ul><ul><li>What is your constant? </li></ul>Created by S. Koch - 2003 3 , -6 18
6. 6. Solving one-step equations : <ul><li>A one-step equation means you only have to perform 1 mathematical operation to solve it. </li></ul><ul><li>You can add , subtract , multiply or divide to solve a one-step equation. </li></ul>Created by S. Koch - 2003
7. 7. <ul><li>Solving an addition equation : </li></ul><ul><li>t + 7 = 21 </li></ul><ul><li>Get rid of the 7 by adding its opposite to both sides of the equation. </li></ul><ul><li>t + 7 = 21 </li></ul>Created by S. Koch - 2003 -7 -7 t = 14 Example 1
8. 8. <ul><li>Solving a subtraction equation : </li></ul><ul><li>g – 6 = 40 </li></ul><ul><li>Get rid of the 6 by adding its opposite to both sides of the equation. </li></ul><ul><li>g – 6 = 40 </li></ul>Created by S. Koch - 2003 +6 +6 g = 46 Example 2
9. 9. <ul><li>Solving a multiplication equation : </li></ul><ul><li>8n = 32 </li></ul><ul><li>Get rid of the 8 by dividing both sides of the equation by 8. Here we “undo” multiplication by doing the opposite – division. </li></ul>Created by S. Koch - 2003 8n = 32 8 8 n = 4 Example 3
10. 10. <ul><li>Solving a division equation : </li></ul><ul><li>k / 9 = 11 </li></ul><ul><li>Get rid of the 9 by multiplying both sides of the equation by 9. Here we “undo” division by doing the opposite – multiplication. </li></ul><ul><li>k / 9 = 11 </li></ul>Created by S. Koch - 2003 x 9 x 9 k = 99 Example 4