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# One step equations for 6th grade (positive numbers)

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### One step equations for 6th grade (positive numbers)

1. 1. One-Step Equations Vocabulary Equation – a mathematical sentence that contains an equal sign. The equation acts like a balance scale. Solution – a number that can replace a variable in an equation and make a true statement. Algebra- A branch of
2. 2. Since an equation is like a balance scale, if you do something to one side, then you have to do it to the other side.
3. 3. We solve one-step equations by performing the opposite operation or “inverse operation.” Addition Subtractio n Multiplicatio n Division Subtractio n Addition Division Multiplication
4. 4. Inverse operations- two operations that have the opposite effect Addition Subtraction Multiplication Division
5. 5. Let’s look at it using algebra Step 1: Complete the inverse operation to both sides of the equation. x + 10 = 15 - 10 10 = 5 x Step 2: Write or “bring down” the result.
6. 6. Step 3: Check the solution by “substituting” or
7. 7. Solving One-Step Addition Equations
8. 8. What if the equation were written this way? x+1=7
9. 9. Which operation should we choose to solve? x+1=7 Subtraction
10. 10. To keep the equation balanced….. ….we must perform the same operation to both sides.
11. 11. Since this is addition, we subtract the same number from both sides. X+1=7 -1 -1
12. 12. X+1=7 -1 -1 X =6
13. 13. 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!
14. 14. Example 1 (bar model) m + 18 = 34 m 18 Look for variable Do the inverse What number does m represent? 34 m = 16 Substitute in m 16 18 34 16 + 18 = 34 34 = 34 Solution is correct!
15. 15. Solving One-Step Subtraction Equations
16. 16. What if the equation were written this way? x–1=8
17. 17. Which operation should we choose to solve? x–1=8 Addition
18. 18. To keep the equation balanced….. ….we must perform the same operation to both sides.
19. 19. Since this is subtraction, we add the same number to both sides. x–1= 8 + 1 +1
20. 20. x–1= 8 + 1 +1 =9 X
21. 21. 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
22. 22. Solving One-Step Multiplication Equations
23. 23. What if the equation were written this way? 2x = 12
24. 24. Which operation should we choose to solve? 2x = 12 Division
25. 25. To keep the equation balanced….. ….we must perform the same operation to both sides.
26. 26. Since this is multiplication, we divide both sides by the same number. 2x = 12 2 2
27. 27. 2x = 12 2 2 X =6
28. 28. Solving One-Step Division Equations
29. 29. What if the equation were written this way? x -2=4
30. 30. Which operation should we choose to solve? x -2=4 Multiplication
31. 31. To keep the equation balanced….. ….we must perform the same operation to both sides.
32. 32. Since this is division, we multiply both sides by the same number. x–2=4 2(x – 2) = 2(4)
33. 33. x– 2=4 2(x – 2) = 2(4) X = 8
34. 34. A check only takes 3 steps: 1. Write the original equation. 2. Substitute the answer for the variable. 3. Verify that both sides are equal. 2x = 12 2(6) = 12 12 = 12
35. 35. Your Turn: Practice Worksheets 1- 4