solving a two-step equation steps 8-3y=14 reasons original equation 8-3y-8=14-8 -3y=6 y= -2...
TRANSCRIPT
![Page 1: Solving a two-step equation Steps 8-3y=14 reasons Original equation 8-3y-8=14-8 -3y=6 y= -2 simplify Subtraction property of equality Division property](https://reader036.vdocuments.net/reader036/viewer/2022070410/56649f1e5503460f94c3502f/html5/thumbnails/1.jpg)
![Page 2: Solving a two-step equation Steps 8-3y=14 reasons Original equation 8-3y-8=14-8 -3y=6 y= -2 simplify Subtraction property of equality Division property](https://reader036.vdocuments.net/reader036/viewer/2022070410/56649f1e5503460f94c3502f/html5/thumbnails/2.jpg)
Solving a two-step equation
Steps
8-3y=14
reasons
• Original equation
• 8-3y-8=14-8
• -3y=6
• y= -2
• simplify
• Subtraction property of equality
• Division property of equality
• simplify
Put the reasons in the right order
![Page 3: Solving a two-step equation Steps 8-3y=14 reasons Original equation 8-3y-8=14-8 -3y=6 y= -2 simplify Subtraction property of equality Division property](https://reader036.vdocuments.net/reader036/viewer/2022070410/56649f1e5503460f94c3502f/html5/thumbnails/3.jpg)
Solving a two step equation
Steps
12-2a=8
reasons
• Original equation
• 12-2a-12=8-12
• -2a=-4
• a= 2
• simplify
• Subtraction property of equality
• Division property of equality
• simplify
Put the steps in the right order
![Page 4: Solving a two-step equation Steps 8-3y=14 reasons Original equation 8-3y-8=14-8 -3y=6 y= -2 simplify Subtraction property of equality Division property](https://reader036.vdocuments.net/reader036/viewer/2022070410/56649f1e5503460f94c3502f/html5/thumbnails/4.jpg)
Solving a two step equation
Steps
-x-5=11
reasons
• -x=16
• x=-16
• -x-5+5=11+5
Justify each step
![Page 5: Solving a two-step equation Steps 8-3y=14 reasons Original equation 8-3y-8=14-8 -3y=6 y= -2 simplify Subtraction property of equality Division property](https://reader036.vdocuments.net/reader036/viewer/2022070410/56649f1e5503460f94c3502f/html5/thumbnails/5.jpg)
Find the error?Steps
12-3y= 15
reasons
• Original equation
• 12-3y-12=15-12
• 3y=3
• y= 1
• simplify
• Subtraction property of equality
• Division property of equality
• simplify
![Page 6: Solving a two-step equation Steps 8-3y=14 reasons Original equation 8-3y-8=14-8 -3y=6 y= -2 simplify Subtraction property of equality Division property](https://reader036.vdocuments.net/reader036/viewer/2022070410/56649f1e5503460f94c3502f/html5/thumbnails/6.jpg)
Find the error?Steps reasons
• Original equation
• m= -4
• simplify
• Subtraction property of equality
• Multiplication property of equality
• simplify
![Page 7: Solving a two-step equation Steps 8-3y=14 reasons Original equation 8-3y-8=14-8 -3y=6 y= -2 simplify Subtraction property of equality Division property](https://reader036.vdocuments.net/reader036/viewer/2022070410/56649f1e5503460f94c3502f/html5/thumbnails/7.jpg)
Depth of a coal mine in kilometer d
Beneath Earth’s surface, the temperature increases 10˚C every kilometer. Suppose that the surface temperature is 22˚C, and the temperature at the bottom of a coal mine is 45˚C. Which equation could be used to find the depth d of the coal mine?
Temperature increases at d kilometer
Temperature at the bottom of a coal mine
The surface temperature
10d
22
45
![Page 8: Solving a two-step equation Steps 8-3y=14 reasons Original equation 8-3y-8=14-8 -3y=6 y= -2 simplify Subtraction property of equality Division property](https://reader036.vdocuments.net/reader036/viewer/2022070410/56649f1e5503460f94c3502f/html5/thumbnails/8.jpg)
Surface tempe-rature
timesplus
Tempe-rature increase
Beneath Earth’s surface, the temperature increases 10˚C every kilometer. Suppose that the surface temperature is 22˚C, and the temperature at the bottom of a coal mine is 45˚C. Which equation could be used to find the depth d of the coal mine?
number of kilome-ters
equals
the depth of the coal mine
Put at the write position:
d45
2210
+
=
*
![Page 9: Solving a two-step equation Steps 8-3y=14 reasons Original equation 8-3y-8=14-8 -3y=6 y= -2 simplify Subtraction property of equality Division property](https://reader036.vdocuments.net/reader036/viewer/2022070410/56649f1e5503460f94c3502f/html5/thumbnails/9.jpg)
Now solve the equation!
![Page 10: Solving a two-step equation Steps 8-3y=14 reasons Original equation 8-3y-8=14-8 -3y=6 y= -2 simplify Subtraction property of equality Division property](https://reader036.vdocuments.net/reader036/viewer/2022070410/56649f1e5503460f94c3502f/html5/thumbnails/10.jpg)
Time for fun
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![Page 12: Solving a two-step equation Steps 8-3y=14 reasons Original equation 8-3y-8=14-8 -3y=6 y= -2 simplify Subtraction property of equality Division property](https://reader036.vdocuments.net/reader036/viewer/2022070410/56649f1e5503460f94c3502f/html5/thumbnails/12.jpg)
![Page 13: Solving a two-step equation Steps 8-3y=14 reasons Original equation 8-3y-8=14-8 -3y=6 y= -2 simplify Subtraction property of equality Division property](https://reader036.vdocuments.net/reader036/viewer/2022070410/56649f1e5503460f94c3502f/html5/thumbnails/13.jpg)
Thank you!