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Solving One Step Equations

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Presentation on theme: "Solving One Step Equations"— Presentation transcript:

1 Solving One Step Equations

2 / x - 7 = 4 / x =11 One Step Equations + 7 +7
What you do to one side you MUST do to the other as well Do the opposite operation / + 7 +7 x =11

3 CHECK! x - 7 = 4 x = 11 11 - 7 = 4 4 = 4 One Step Equations  ?
Original Equation x = 11 Answer ? = 4 Substitute your answer in for x and see if its is true 4 = 4

4 / x + 7 = 4 / x = -3 One Step Equations - 7 -7
What you do to one side you MUST do to the other as well Do the opposite operation / - 7 -7 x = -3

5 CHECK! x + 7 = 4 x = -3 (-3) + 7 = 4 4 = 4 One Step Equations  ?
Original Equation x = -3 Answer ? (-3) + 7 = 4 Substitute your answer in for x and see if its is true 4 = 4

6 / x + 8 = -6 / x = -14 One Step Equations -8 - 8
What you do to one side you MUST do to the other as well x + 8 = -6 Do the opposite operation / -8 - 8 x = -14

7 CHECK! x + 8 = -6 x = -14 (-14) + 8 = -6 -6 = -6 One Step Equations 
Original Equation x = -14 Answer ? (-14) + 8 = -6 Substitute your answer in for x and see if its is true -6 = -6

8 / x + 5 = 2 / x = -3 One Step Equations -5 - 5
What you do to one side you MUST do to the other as well x + 5 = 2 Do the opposite operation / - 5 -5 x = -3

9 CHECK! x + 5 = 2 x = -3 (-3) + 5 = 2 2 = 2 One Step Equations  ?
Original Equation x = -3 Answer ? (-3) + 5 = 2 Substitute your answer in for x and see if its is true 2 = 2

10 -1= x - 7 / x -7 = -1 / x = 6 One Step Equations + 7 +7
Rewrite / What you do to one side you MUST do to the other as well x -7 = -1 Do the opposite operation / + 7 +7 x = 6

11 CHECK! -1 = x - 7 x = 6 -1 = 6 - 7 -1 = -1 One Step Equations  ?
Original Equation x = 6 Answer ? -1 = 6 - 7 Substitute your answer in for x and see if its is true -1 = -1

12 / 3x = -12 3 / One Step Equations 3 x = -4
What you do to one side you MUST do to the other as well Do the opposite operation 3 3 / x = -4

13 CHECK! 3x = -12 x = - 4 3(-4) = -12 -12 = -12 One Step Equations  ?
Original Equation x = - 4 Answer ? 3(-4) = -12 Substitute your answer in for x and see if its is true -12 = -12

14 / -2x = 10 -2 / One Step Equations -2 x = -5
What you do to one side you MUST do to the other as well Do the opposite operation -2 -2 / x = -5

15 CHECK! -2x = 10 x = - 5 -2(-5) = 10 10 = 10 One Step Equations  ?
Original Equation x = - 5 Answer ? -2(-5) = 10 Substitute your answer in for x and see if its is true 10 = 10

16 / -4x = -16 -4 / One Step Equations -4 x = 4
What you do to one side you MUST do to the other as well Do the opposite operation -4 -4 / x = 4

17 CHECK! -4x = -16 x = 4 -4 (4) = -16 -16 = -16 One Step Equations  ?
Original Equation x = 4 Answer ? -4 (4) = -16 Substitute your answer in for x and see if its is true -16 = -16

18 x (5) / (5) = -2 5 / One Step Equations x = -10
Do the opposite operation 5 / What you do to one side you MUST do to the other as well x = -10

19 CHECK! x = -2 5 x = -10 -10 = -2 -2 = -2 5 One Step Equations  ?
Original Equation x = -10 Answer -10 ? Substitute your answer in for x and see if its is true = -2 -2 = -2 5

20 x (-2) / (-2) = 4 -2 / One Step Equations x = -8
Do the opposite operation -2 / What you do to one side you MUST do to the other as well x = -8

21 CHECK! x = 4 -2 x = -8 -8 = 4 4 = 4 -2 One Step Equations  ?
Original Equation x = -8 Answer -8 ? Substitute your answer in for x and see if its is true = 4 4 = 4 -2

22 x (-5) / (-5) = 1 -5 / One Step Equations x = -5
Do the opposite operation -5 / What you do to one side you MUST do to the other as well x = -5

23 CHECK! x = 1 -5 x = -5 -5 = 1 1 = 1 -5 One Step Equations  ?
Original Equation x = -5 Answer -5 ? Substitute your answer in for x and see if its is true = 1 1 = 1 -5

24 One Step Equations (-5) x / = 4 (-5) -5 / x = -20

25 CHECK! x = 4 -5 x = -20 -20 = 4 4 = 4 -5 One Step Equations  ?
Original Equation x = -20 Answer -20 ? Substitute your answer in for x and see if its is true = 4 4 = 4 -5

26 / / / / 2 Step Equations 2x + 5 = 1 - 5 -5 2x = -4 2 2 x = -2
Do Order of Operations in Reverse (add and subtract first) / 2x + 5 = 1 / / 2x = -4 / x = -2

27 CHECK! 2x + 5 = 1 x = -2 2(-2) + 5 = 1 1 = 1 -4 + 5 = 1
One Step Equations 2x + 5 = 1 Original Equation CHECK! x = -2 Answer ? 2(-2) + 5 = 1 Substitute your answer in for x and see if its is true ? 1 = 1 = 1

28 / / / / 2 Step Equations 3x - 2 = -5 +2 +2 3x = -3 3 3 x = -1
Do Order of Operations in Reverse (add and subtract first) / 3x - 2 = -5 / / 3x = -3 / x = -1

29 CHECK! 3x - 2 = -5 x = -1 3(-1) - 2 = -5 -5 = -5 -3 - 2 = -5
One Step Equations 3x - 2 = -5 Original Equation CHECK! x = -1 Answer ? Substitute your answer in for x and see if its is true 3(-1) - 2 = -5 ? -5 = -5 = -5

30 / / / / 2 Step Equations -4x + 1 =-3 -1 -1 -4x = -4 -4 -4 x = 1
Do Order of Operations in Reverse (add and subtract first) / -4x + 1 =-3 / / -4x = -4 / x = 1

31 CHECK! -4x + 1 = -3 x = 1 -4(1) + 1 = -3 -3 = -3 -4 + 1 = -3
One Step Equations -4x + 1 = -3 Original Equation CHECK! x = 1 Answer ? Substitute your answer in for x and see if its is true -4(1) + 1 = -3 ? -3 = -3 = -3

32 2 Step Equations x - 4 / = -3 3 / x / (3) = 1 (3) / 3 x = 3

33 CHECK! 3 3 One Step Equations x - 4 = -3 x = 3 3 - 4 = -3 -3 = -3
Original Equation x = 3 Answer 3 ? Substitute your answer in for x and see if its is true - 4 = -3 -3 = -3 3 1 - 4 = -3

34 2 Step Equations x + 2 / = 0 4 / x (4) / = -2 (4) / 4 x = -8

35 CHECK! 4 4 One Step Equations x + 2 = 0 x = -8 -8 +2 = 0 0 = 0
Original Equation x = -8 Answer -8 ? Substitute your answer in for x and see if its is true +2 = 0 0 = 0 4 = 0

36 / / / / / / 2 Step Equations 2 x +1 = 7 3 2 3 x 3 = 6 3 2 1 2 - 1 -1
/ / / 2 3 x 3 = 6 / / 3 2 1 2 x = 9

37 CHECK! 2 3 3 One Step Equations x + 1 = 7 x = 9 2 (9) +1 = 7 7 = 7
Original Equation x = 9 Answer 2 ? (9) Substitute your answer in for x and see if its is true +1 = 7 7 = 7 3 6 + 1 = 7

38 / / / / / / 2 Step Equations 3 x -4 = -1 5 3 5 x 5 = 3 3 5 1 3 +4 +4
/ / / 3 5 x 5 = 3 / 3 / 5 1 3 x = 5

39 CHECK! 3 5 5 One Step Equations x - 4 = -1 x = 5 3 (5) -4 = -1 -1 = -1
Original Equation x = 5 Answer 3 ? (5) Substitute your answer in for x and see if its is true -4 = -1 -1 = -1 5 3 - 4 = -1


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