Reviewing One Step Equations.
-
Upload
nathan-webb -
Category
Documents
-
view
230 -
download
2
description
Transcript of Reviewing One Step Equations.
![Page 1: Reviewing One Step Equations.](https://reader035.fdocuments.us/reader035/viewer/2022081513/5a4d1ada7f8b9ab059974803/html5/thumbnails/1.jpg)
http://www.mathslideshows.com
Reviewing One Step Equations
![Page 2: Reviewing One Step Equations.](https://reader035.fdocuments.us/reader035/viewer/2022081513/5a4d1ada7f8b9ab059974803/html5/thumbnails/2.jpg)
http://www.mathslideshows.com
Vocabulary We Need to Remember
• Term• Variable• Constant• Coefficient• Inverse Operations• PEMDAS• Combine Like Terms• Distributive Property
![Page 3: Reviewing One Step Equations.](https://reader035.fdocuments.us/reader035/viewer/2022081513/5a4d1ada7f8b9ab059974803/html5/thumbnails/3.jpg)
http://www.mathslideshows.com
One Step Equations
• Lets look back at what it means to solve an equation.
• Remember, an equation equals something, so it has the = sign.
![Page 4: Reviewing One Step Equations.](https://reader035.fdocuments.us/reader035/viewer/2022081513/5a4d1ada7f8b9ab059974803/html5/thumbnails/4.jpg)
http://www.mathslideshows.com
An Equation is like a balance scale. Everything must be
equal on both sides.
20 2x +5=
![Page 5: Reviewing One Step Equations.](https://reader035.fdocuments.us/reader035/viewer/2022081513/5a4d1ada7f8b9ab059974803/html5/thumbnails/5.jpg)
http://www.mathslideshows.com
20 2x +5=
What you do to one side of an equation, you must do to the
other side to keep it balanced!
-5-5
![Page 6: Reviewing One Step Equations.](https://reader035.fdocuments.us/reader035/viewer/2022081513/5a4d1ada7f8b9ab059974803/html5/thumbnails/6.jpg)
http://www.mathslideshows.com
15 2x =
What you do to one side of an equation, you must do to the
other side to keep it balanced!
__2
__2
![Page 7: Reviewing One Step Equations.](https://reader035.fdocuments.us/reader035/viewer/2022081513/5a4d1ada7f8b9ab059974803/html5/thumbnails/7.jpg)
http://www.mathslideshows.com
7.5 x =
What you do to one side of an equation, you must do to the
other side to keep it balanced!
![Page 8: Reviewing One Step Equations.](https://reader035.fdocuments.us/reader035/viewer/2022081513/5a4d1ada7f8b9ab059974803/html5/thumbnails/8.jpg)
http://www.mathslideshows.com
Try to solve this subtraction equation
18 n - 3=
How do you get n all by itself?
+3+3
![Page 9: Reviewing One Step Equations.](https://reader035.fdocuments.us/reader035/viewer/2022081513/5a4d1ada7f8b9ab059974803/html5/thumbnails/9.jpg)
http://www.mathslideshows.com
Try to solve this subtraction equation
21 n =
How do you get n all by itself?
![Page 10: Reviewing One Step Equations.](https://reader035.fdocuments.us/reader035/viewer/2022081513/5a4d1ada7f8b9ab059974803/html5/thumbnails/10.jpg)
http://www.mathslideshows.com
Show your check by substituting your answer back into the original
equation.
18 n - 3=
21
![Page 11: Reviewing One Step Equations.](https://reader035.fdocuments.us/reader035/viewer/2022081513/5a4d1ada7f8b9ab059974803/html5/thumbnails/11.jpg)
http://www.mathslideshows.com
Try to solve this division equation
x3 15
=
How do you get x all by itself?
•3•3
![Page 12: Reviewing One Step Equations.](https://reader035.fdocuments.us/reader035/viewer/2022081513/5a4d1ada7f8b9ab059974803/html5/thumbnails/12.jpg)
http://www.mathslideshows.com
Try to solve this division equation
x45
=
How do you get x all by itself?
![Page 13: Reviewing One Step Equations.](https://reader035.fdocuments.us/reader035/viewer/2022081513/5a4d1ada7f8b9ab059974803/html5/thumbnails/13.jpg)
http://www.mathslideshows.com
SHOW YOUR CHECK!
x3 15
=45
![Page 14: Reviewing One Step Equations.](https://reader035.fdocuments.us/reader035/viewer/2022081513/5a4d1ada7f8b9ab059974803/html5/thumbnails/14.jpg)
http://www.mathslideshows.com
![Page 15: Reviewing One Step Equations.](https://reader035.fdocuments.us/reader035/viewer/2022081513/5a4d1ada7f8b9ab059974803/html5/thumbnails/15.jpg)
http://www.mathslideshows.com
to one side of an equation,When you do something
91x1
![Page 16: Reviewing One Step Equations.](https://reader035.fdocuments.us/reader035/viewer/2022081513/5a4d1ada7f8b9ab059974803/html5/thumbnails/16.jpg)
http://www.mathslideshows.com
91x1
you have to do exactlythe same thing
to the other side.
18x
![Page 17: Reviewing One Step Equations.](https://reader035.fdocuments.us/reader035/viewer/2022081513/5a4d1ada7f8b9ab059974803/html5/thumbnails/17.jpg)
http://www.mathslideshows.com
To solve an equation meansto find every number that makes the equation
true.
![Page 18: Reviewing One Step Equations.](https://reader035.fdocuments.us/reader035/viewer/2022081513/5a4d1ada7f8b9ab059974803/html5/thumbnails/18.jpg)
http://www.mathslideshows.com
In the equation,
x is the number157 x
to get 15. you add to 7
![Page 19: Reviewing One Step Equations.](https://reader035.fdocuments.us/reader035/viewer/2022081513/5a4d1ada7f8b9ab059974803/html5/thumbnails/19.jpg)
http://www.mathslideshows.com
157 xWhat is the number?
8, of course. So we would write the solution
x = 8
![Page 20: Reviewing One Step Equations.](https://reader035.fdocuments.us/reader035/viewer/2022081513/5a4d1ada7f8b9ab059974803/html5/thumbnails/20.jpg)
http://www.mathslideshows.com
In some equations, the solution is obvious.
55 x10x
![Page 21: Reviewing One Step Equations.](https://reader035.fdocuments.us/reader035/viewer/2022081513/5a4d1ada7f8b9ab059974803/html5/thumbnails/21.jpg)
http://www.mathslideshows.com
But in other equations, the solution is not so obvious.
10122 x
![Page 22: Reviewing One Step Equations.](https://reader035.fdocuments.us/reader035/viewer/2022081513/5a4d1ada7f8b9ab059974803/html5/thumbnails/22.jpg)
http://www.mathslideshows.com
10122 x
Many times we needa way to solve equations.
Especially if there is more than one step to solve.
![Page 23: Reviewing One Step Equations.](https://reader035.fdocuments.us/reader035/viewer/2022081513/5a4d1ada7f8b9ab059974803/html5/thumbnails/23.jpg)
http://www.mathslideshows.com
1) Undo the addition or subtraction operation first, by using inverse operations.2) Undo the multiplication or division operation second, by using inverse operations.
![Page 24: Reviewing One Step Equations.](https://reader035.fdocuments.us/reader035/viewer/2022081513/5a4d1ada7f8b9ab059974803/html5/thumbnails/24.jpg)
http://www.mathslideshows.com
REMEMBER
![Page 25: Reviewing One Step Equations.](https://reader035.fdocuments.us/reader035/viewer/2022081513/5a4d1ada7f8b9ab059974803/html5/thumbnails/25.jpg)
http://www.mathslideshows.com
To solve any equation, you want to get the variable all by itself. You get the variable alone by using inverse operations.
Inverse Operations are like Opposites.
![Page 26: Reviewing One Step Equations.](https://reader035.fdocuments.us/reader035/viewer/2022081513/5a4d1ada7f8b9ab059974803/html5/thumbnails/26.jpg)
http://www.mathslideshows.com
I am going to show you 2 ways to solve this equation.
Hard way Easy wayUndo Multiplication or Division 1st
Undo Addition or Subtraction 1st
3x + 4 = 16
![Page 27: Reviewing One Step Equations.](https://reader035.fdocuments.us/reader035/viewer/2022081513/5a4d1ada7f8b9ab059974803/html5/thumbnails/27.jpg)
http://www.mathslideshows.com
Hard way Easy way Undo Multiplication or Division 1st Undo Addition or
Subtraction 1st 3x + 4 = 163 3
3x3 + 4
3 = 163
- 43 - 4
3
x + 43 = 16
3
x = 123
x = 4
3x + 4 = 16 -4 -4
3x = 123 3x = 4
![Page 28: Reviewing One Step Equations.](https://reader035.fdocuments.us/reader035/viewer/2022081513/5a4d1ada7f8b9ab059974803/html5/thumbnails/28.jpg)
http://www.mathslideshows.com
1) GOAL:Get the variable on one side of the equation.
2) You always perform the same operation toboth sides of an equation.
3) To undo an operation you perform its opposite operation to both sides of the equation.4) It is easier if you undo addition or subtraction before you undo multiplication or division.
![Page 29: Reviewing One Step Equations.](https://reader035.fdocuments.us/reader035/viewer/2022081513/5a4d1ada7f8b9ab059974803/html5/thumbnails/29.jpg)
http://www.mathslideshows.com
2x + 4 = 10 Get the variable alone.
- 4 - 4 Subtract 4 from both sides.
2x = 6 +4 and -4 cancel out__ __ 2 2
Divide both sides by 2 x = 3
Show your check. 2(3) +4 = 10
Finish your check.6 + 4 = 10 10 = 10
2 divided by 2 cancel to 1
![Page 30: Reviewing One Step Equations.](https://reader035.fdocuments.us/reader035/viewer/2022081513/5a4d1ada7f8b9ab059974803/html5/thumbnails/30.jpg)
http://www.mathslideshows.com
3m - 10 = 17 Get the variable alone. + 10 +10 Add 10 to both sides.
3m = 27 +10 and -10 cancel out__ __ 3 3
Divide both sides by 3 m = 9
Show your check. 3(9) – 10 = 17
Finish your check.27 – 10 = 17 17 = 17
3 divided by 3 cancel to 1
![Page 31: Reviewing One Step Equations.](https://reader035.fdocuments.us/reader035/viewer/2022081513/5a4d1ada7f8b9ab059974803/html5/thumbnails/31.jpg)
http://www.mathslideshows.com
– 4 = 8
Get the variable alone.
3 ( ) = 3 12 Multiply both sides by 3.
x = 36 3 divided by 3 cancel to 1
x 3
x 3
+4 +4 Add 4 to both sides.x 3
= 12 + 4 and -4 cancel out.
– 4 = 8 36 3
12 – 4 = 8
8 = 8
Show your check.
Finish your check.
![Page 32: Reviewing One Step Equations.](https://reader035.fdocuments.us/reader035/viewer/2022081513/5a4d1ada7f8b9ab059974803/html5/thumbnails/32.jpg)
http://www.mathslideshows.com
+ 6 = 14
Get the variable alone.
2 ( ) = 2 8 Multiply both sides by 2.
x = 16 2 divided by 2 cancel to 1
x 2
x 2
- 6 - 6 Subtract 6 from both sides.x 2
= 8 + 6 and -6 cancel out.
+ 6 = 14 16 2
8 + 6 = 14 14 = 14
Show your check.
Finish your check.
![Page 33: Reviewing One Step Equations.](https://reader035.fdocuments.us/reader035/viewer/2022081513/5a4d1ada7f8b9ab059974803/html5/thumbnails/33.jpg)
http://www.mathslideshows.com
What Operation Do You Do?
1) 3x + 8 = 24 Subtract 8
2) 5x - 10 = 19
Divide by 3FIRST SECOND
Add 10 Divide by 5
3) x - 4 = 20
2
Add 4 Multiply by 2
4) - 30 = -5x + 5 Subtract 5 Divide by -5
![Page 34: Reviewing One Step Equations.](https://reader035.fdocuments.us/reader035/viewer/2022081513/5a4d1ada7f8b9ab059974803/html5/thumbnails/34.jpg)
http://www.mathslideshows.com
3 3
1) 2x 5 19 x2) 15 63 5 5 2x 242 2x 12
15 15 x 93
x 27
![Page 35: Reviewing One Step Equations.](https://reader035.fdocuments.us/reader035/viewer/2022081513/5a4d1ada7f8b9ab059974803/html5/thumbnails/35.jpg)
http://www.mathslideshows.com
3) 8x 1 25 x4) 4 35 1 1
8x 248 8x 3
5 5
4 4 x 75
x 35
![Page 36: Reviewing One Step Equations.](https://reader035.fdocuments.us/reader035/viewer/2022081513/5a4d1ada7f8b9ab059974803/html5/thumbnails/36.jpg)
http://www.mathslideshows.com
Think about what you need to do to isolate the variable.
Get rid of addition or subtraction first. Second get rid of multiplication or division.
![Page 37: Reviewing One Step Equations.](https://reader035.fdocuments.us/reader035/viewer/2022081513/5a4d1ada7f8b9ab059974803/html5/thumbnails/37.jpg)
http://www.mathslideshows.com
The End!
![Page 38: Reviewing One Step Equations.](https://reader035.fdocuments.us/reader035/viewer/2022081513/5a4d1ada7f8b9ab059974803/html5/thumbnails/38.jpg)
http://www.mathslideshows.com
1) Undo the addition or subtraction operation first, by using inverse operations.
2) Undo the multiplication or division second, by using inverse operations.
#11
![Page 39: Reviewing One Step Equations.](https://reader035.fdocuments.us/reader035/viewer/2022081513/5a4d1ada7f8b9ab059974803/html5/thumbnails/39.jpg)
http://www.mathslideshows.com
2 Step Subtract/Multiply Equation
3m - 10 = 17 Get the variable alone. +10 +10 Add 10 to both sides.
3m = 27 +10 and -10 cancel out__ __ 3 3 Divide both sides by 3
m = 9
#12
Show your check. 3(9) – 10 =17
Finish your check.27 – 10 =17 17 =17
3 divided by 3 cancel to 1
![Page 40: Reviewing One Step Equations.](https://reader035.fdocuments.us/reader035/viewer/2022081513/5a4d1ada7f8b9ab059974803/html5/thumbnails/40.jpg)
http://www.mathslideshows.com
+ 6 = 14
Get the variable alone.
( ) = 8 Multiply both sides by 2.
x = 16 2 divided by 2 cancels out
x 2
x 2
- 6 - 6 Subtract 6 from both sides.x 2
= 8
#13
+ 6 and -6 cancel out.
+ 6 = 14 16 2
8 + 6 = 14
14 = 14
Show your check.
Finish your check.
2 2