http://. what you do to one side of an equation, you must do to the other side to keep it balanced
TRANSCRIPT
![Page 1: Http://. What you do to one side of an equation, you must do to the other side to keep it balanced](https://reader035.vdocuments.net/reader035/viewer/2022070412/56649e8f5503460f94b93bde/html5/thumbnails/1.jpg)
http://www.mathslideshows.com
![Page 2: Http://. What you do to one side of an equation, you must do to the other side to keep it balanced](https://reader035.vdocuments.net/reader035/viewer/2022070412/56649e8f5503460f94b93bde/html5/thumbnails/2.jpg)
http://www.mathslideshows.com
What you do to one side of an equation, you must do to the other
side to keep it balanced.
![Page 3: Http://. What you do to one side of an equation, you must do to the other side to keep it balanced](https://reader035.vdocuments.net/reader035/viewer/2022070412/56649e8f5503460f94b93bde/html5/thumbnails/3.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.
![Page 4: Http://. What you do to one side of an equation, you must do to the other side to keep it balanced](https://reader035.vdocuments.net/reader035/viewer/2022070412/56649e8f5503460f94b93bde/html5/thumbnails/4.jpg)
http://www.mathslideshows.com
The inverse of add is SUBTRACT
The inverse of subtract is ADD
The inverse of multiply is
The inverse of divide is
DIVIDE
MULTIPLY
![Page 5: Http://. What you do to one side of an equation, you must do to the other side to keep it balanced](https://reader035.vdocuments.net/reader035/viewer/2022070412/56649e8f5503460f94b93bde/html5/thumbnails/5.jpg)
http://www.mathslideshows.com
x + 5 = -10 Get the variable alone.
- 5 - 5 Subtract 5 from both sides.
x = -15 +5 and -5 cancel each other out
-15 + 5 = -10 Check your answer
For an integer addition equation, subtract the same number from both sides
-10 = -10 Finish your check
![Page 6: Http://. What you do to one side of an equation, you must do to the other side to keep it balanced](https://reader035.vdocuments.net/reader035/viewer/2022070412/56649e8f5503460f94b93bde/html5/thumbnails/6.jpg)
http://www.mathslideshows.com
x + 8 = 2 -8 -8x = -6
y - 13 = -4 +13 +13
y = 9-6 + 8 = 2 2 = 2
9 – 13 = -4 -4 = -4
Try these!
![Page 7: Http://. What you do to one side of an equation, you must do to the other side to keep it balanced](https://reader035.vdocuments.net/reader035/viewer/2022070412/56649e8f5503460f94b93bde/html5/thumbnails/7.jpg)
http://www.mathslideshows.com
Try these!-3x = 21-3 -3
x = -7
m = 8-2(-2) (-2)
m = -16
-3(-7) = 21 21 = 21
= 8-2
-16
8 = 8
![Page 8: Http://. What you do to one side of an equation, you must do to the other side to keep it balanced](https://reader035.vdocuments.net/reader035/viewer/2022070412/56649e8f5503460f94b93bde/html5/thumbnails/8.jpg)
http://www.mathslideshows.com
Try these!1) -4 + x = 15 2) - 4 = m + 9
+4 +4x = 19
-9 -9-13 = m
- 4 + (19) = 15
15 = 15
- 4 = (-13) + 9
- 4 = - 4
![Page 9: Http://. What you do to one side of an equation, you must do to the other side to keep it balanced](https://reader035.vdocuments.net/reader035/viewer/2022070412/56649e8f5503460f94b93bde/html5/thumbnails/9.jpg)
http://www.mathslideshows.com
Try these!1) -5x = -35
-5 -5x = 7
-5(7) = -35
-35 = -35
2) 126
x
126
x
(-6)(-6)
-72 = x
122
6
7
12 = 12
![Page 10: Http://. What you do to one side of an equation, you must do to the other side to keep it balanced](https://reader035.vdocuments.net/reader035/viewer/2022070412/56649e8f5503460f94b93bde/html5/thumbnails/10.jpg)
http://www.mathslideshows.com
Try these!1) 8 y 3
8 8 y 5
8 + (-5) = 3
3 = 3
2) 9 m 3 3 3 6 m
- 9 = (-6) - 3
- 9 = - 9
![Page 11: Http://. What you do to one side of an equation, you must do to the other side to keep it balanced](https://reader035.vdocuments.net/reader035/viewer/2022070412/56649e8f5503460f94b93bde/html5/thumbnails/11.jpg)
http://www.mathslideshows.com
Try these!1) k 12
3
13 k 323
k 36
136
23
12 = 12
2) 8b 72
8b 28 8
7
b 9
-8(-9) = 72
72 = 72
![Page 12: Http://. What you do to one side of an equation, you must do to the other side to keep it balanced](https://reader035.vdocuments.net/reader035/viewer/2022070412/56649e8f5503460f94b93bde/html5/thumbnails/12.jpg)
http://www.mathslideshows.com
Try these!-4k = 14-4 -4
k 14
4
Acceptable Answers
k 7
2 35. 3
1
2
All answers must be fully reduced!
![Page 13: Http://. What you do to one side of an equation, you must do to the other side to keep it balanced](https://reader035.vdocuments.net/reader035/viewer/2022070412/56649e8f5503460f94b93bde/html5/thumbnails/13.jpg)
http://www.mathslideshows.com
Aren’t equationsinteresting?
TAKE OUT YOUR STUDY GUIDE
![Page 14: Http://. What you do to one side of an equation, you must do to the other side to keep it balanced](https://reader035.vdocuments.net/reader035/viewer/2022070412/56649e8f5503460f94b93bde/html5/thumbnails/14.jpg)
http://www.mathslideshows.com
a – -3 = 21 Get the variable alone.
+ -3 + -3 Add -3 to both sides.
a = 18 + -3 and – -3 cancel out
18 - -3 = 21 Check your answer
Use inverse operations to solve integer equations.
#7
Finish your check 21 = 21
![Page 15: Http://. What you do to one side of an equation, you must do to the other side to keep it balanced](https://reader035.vdocuments.net/reader035/viewer/2022070412/56649e8f5503460f94b93bde/html5/thumbnails/15.jpg)
http://www.mathslideshows.com
-8x = -64 Get the variable alone.
-8 -8 Divide -8 into both sides.
x = 8 -8 divided by -8 cancel out to 1.
-8 8 = -64 Check your answer.
Divide the same number into both sides
#8
Finish your check. -64 = -64
![Page 16: Http://. What you do to one side of an equation, you must do to the other side to keep it balanced](https://reader035.vdocuments.net/reader035/viewer/2022070412/56649e8f5503460f94b93bde/html5/thumbnails/16.jpg)
http://www.mathslideshows.com
![Page 17: Http://. What you do to one side of an equation, you must do to the other side to keep it balanced](https://reader035.vdocuments.net/reader035/viewer/2022070412/56649e8f5503460f94b93bde/html5/thumbnails/17.jpg)
http://www.mathslideshows.com
![Page 18: Http://. What you do to one side of an equation, you must do to the other side to keep it balanced](https://reader035.vdocuments.net/reader035/viewer/2022070412/56649e8f5503460f94b93bde/html5/thumbnails/18.jpg)
http://www.mathslideshows.com
1) -5 + x = 10 2) - 8 = m + 3+5 +5
x = 15-3 -3
-11 = m
- 5 + (15) = 10
10 = 10
- 8 = (-11) + 3
- 8 = - 8
Solve and Check
![Page 19: Http://. What you do to one side of an equation, you must do to the other side to keep it balanced](https://reader035.vdocuments.net/reader035/viewer/2022070412/56649e8f5503460f94b93bde/html5/thumbnails/19.jpg)
http://www.mathslideshows.com
1) -7x = -49-7 -7x = 7
-7(7) = -49
-49 = -49
2) 115
x
115
x
(-5)(-5)
-55 = x
115
5
5
11 = 11
Solve and Check
![Page 20: Http://. What you do to one side of an equation, you must do to the other side to keep it balanced](https://reader035.vdocuments.net/reader035/viewer/2022070412/56649e8f5503460f94b93bde/html5/thumbnails/20.jpg)
http://www.mathslideshows.com
1) 9 y 4 9 9
y 5
9 + (-5) = 4
4 = 4
2) 3 m 7 7 7 4 m
- 3 = (4) – 7
- 3 = - 3
Solve and Check
![Page 21: Http://. What you do to one side of an equation, you must do to the other side to keep it balanced](https://reader035.vdocuments.net/reader035/viewer/2022070412/56649e8f5503460f94b93bde/html5/thumbnails/21.jpg)
http://www.mathslideshows.com
1) k 108
18 k 808
k 80
180
08
10 = 10
2) 8b 72
8b 728 8
b 9
-8(-9) = 72
72 = 72
Solve and Check
![Page 22: Http://. What you do to one side of an equation, you must do to the other side to keep it balanced](https://reader035.vdocuments.net/reader035/viewer/2022070412/56649e8f5503460f94b93bde/html5/thumbnails/22.jpg)
http://www.mathslideshows.com
Solve the division by multiplying by the reciprocal.
1) 2)214
7y 7
2
7
2
14 7
1 2y
49y
216
7x
7
2
7
2
7 16
2 1x
56 x
8
11
7
![Page 23: Http://. What you do to one side of an equation, you must do to the other side to keep it balanced](https://reader035.vdocuments.net/reader035/viewer/2022070412/56649e8f5503460f94b93bde/html5/thumbnails/23.jpg)
http://www.mathslideshows.com
If you have trouble viewing you need
MathType software: To see all math formulas
correctly you need to install MathType software, similar to
equation editor and is available for free at
Design Science website .
![Page 24: Http://. What you do to one side of an equation, you must do to the other side to keep it balanced](https://reader035.vdocuments.net/reader035/viewer/2022070412/56649e8f5503460f94b93bde/html5/thumbnails/24.jpg)
http://www.mathslideshows.com
For more information on Math Slideshows
visit: http://www.mathslideshows.com/