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# Solving addition and subtraction equations power point copy

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### Solving addition and subtraction equations power point copy

1. 1. Solving Addition and Subtraction Equations
2. 2. An equation is a mathematical sentence that contains an
3. 3. The expression on the left and right side of the equal sign are equivalent. One or both sides may contain a variable.
4. 4. A variable is a letter or symbol that stands for a number.
5. 5. To solve an equation, you must find what the variable represents so that the two parts are equal.
6. 6. Equations are like balance scales. In order to keep a scale balanced you must have the same amount of weight on both
7. 7. If I took one block away from the left side, what would I have to do to keep the scale from tipping?
8. 8. If I added 6 more apples to the right side, how could I keep the scale from tipping?
9. 9. To keep an equation equal, we must do exactly the same thing to each side of the equation. If we add a number to one side, we must add that same number to the other side and vice versa.
10. 10. Addition and subtraction are called “inverse operations”.
11. 11. Multiplicatio n and division are inverse operations, too!
12. 12. for Solving Addition and Subtraction Equations
13. 13. 1. Look to see what side the variable is on.
14. 14. 2. Decide what operation is being shown.
15. 15. 3. Do the inverse of that operation to both sides.
16. 16. 4. Write what number the variable stands for
17. 17. 5. Check the solution by “substituting” the number back into the equation to
18. 18. Example 1 (bar model) m + 18 = 34 m 18 34 Look for variable Do the inverse What number does m represent? m = 16 Substitute in m 16 18 34 16 + 18 = 34 34 = 34 Solution is correct!
19. 19. Example 1 m + 18 = 34 -18 -18 m = 16 Do the inverse m + 18 = 34 16 + 18 = 34 34 = 34 substitute in m Look for variable Write what m is Solution is correct!
20. 20. Always remember to check your solution to the equation.
21. 21. Example 2 68 = y + 43 -43 -43 Look for variable 25 = y 68 = y + 43 68 = 25 + 43 68 = 68 Write what y is Do the opposite Plug in y Solution is correct!
22. 22. Example 3 t - 14 = 22 + 14 +14 t = 36 Do the inverse t - 14 = 22 36 - 14 = 22 22 = 22 Substitute in t Look for variable Write what t is Solution is correct!
23. 23. Try These... 1. 2. 3. 4. r + 5 = 18 m - 26 = 59 102 = x - 15 a + 39 = 56 r = 13 m = 85 117 = x a = 17
24. 24. Prediction: You will show all of the steps (including checking) as you have been shown today
25. 25. Are there any questions about solving addition or subtraction equations?