Solving One and Two Step Equations

Solving One and Two Step Equations PowerPoint PPT Presentation


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Solving One and Two Step Equations

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1. Solving One and Two Step Equations By John Thurmond

2. What is a one – step equation? Examples: 3x = 21 a/5 = 10 5 + b = 12 x – 10 = 15 6t = 36

3. How do you solve a one–step equation? Identify operation Undo operation Balance equation Solve for variable Check solution

4. Undo Operation Use opposite operation or “undo” operation Addition is opposite of subtraction (addition undoes subtraction) Subtraction is opposite of addition (subtraction undoes addition) Multiplication is opposite of division (multiplication undoes division) Division is opposite of multiplication (division undoes multiplication)

5. Apply steps Example: 2x = 10 Identify operation – multiplication 2x = 10 Undo operation – use division 2 2 Balance equation – do the same to both sides Solve equation – x = 5 Check solution – does 2 * 5 = 10?

6. What are two-step equations? Examples of two-step equations: 1) m/5 + 6 = 9 2) 5w + 2.7 = 12.8 3) 15 – 3x = -6 2x + 2/3 = 4/5 5/2d – 3/2 = -1/2

7. How do you solve a two-step equation? Identify operations Undo operations Balance equation Repeat steps Solve for variable Check solution

8. Identify operations a/2 - 3 = 8 Fraction bar = division Minus sign = subtraction

9. Undo Operations Use opposite operations or “undo” operations Addition is opposite of subtraction (addition undoes subtraction) Subtraction is opposite of addition (subtraction undoes addition) Multiplication is opposite of division (multiplication undoes division) Division is opposite of multiplication (division undoes multiplication)

10. Keep Equation Balanced Whatever you do to one side of the equation you do to the other side of the equation.

11. Repeat Steps Continue these steps until you have solved the equation.

12. Solve Equation Solve for the variable.

13. Check answer Replace your answer for your variable in the original equation. Simplify the equation using your answer.

14. Apply Steps Identify operations Undo operations Balance equation Repeat steps Solve equation Check solution a/2 – 3 = 8 division and subtraction a/2 - 3 = 8 + 3 + 3 a/2 = 11 (2)a/2 = (2)11 a = 22 22/2 – 3 = 8? 11 – 3 = 8? 11 – 3 = 8

15. Examples 3x = 21 5 6 3 7 8

16. Examples 2) a/5 = 10 20 30 50 10 40

17. Examples 3) 5 + b = 12 6 7 5 4 3

18. Examples x – 10 = 15 25 24 23 22 20

19. Examples 6y = 36 5 4 2 3 6

20. Examples 6) m/5 + 6 = 9 30 45 15 3/5 106

21. Examples 7) 5w + 2.7 = 12.8 1.02 2.02 64 32 95

22. Examples 8) 15 – 3x = -6 7 9 -7 -9 -3

23. Examples 9) 2x + 2/3 = 4/5 5 2/5 6 3/15 1/15

24. Examples 10) 5/2d – 3/2 = -1/2 3/5 1/5 1/10 3/10 2/5

25. The End

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