goal 1 using two or more transformations 3.3 solving multi-step equations example 1 1.simplify each...
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![Page 1: GOAL 1 USING TWO OR MORE TRANSFORMATIONS 3.3 Solving Multi-Step Equations EXAMPLE 1 1.Simplify each side of the equation first. 2.Perform inverse operations](https://reader036.vdocuments.us/reader036/viewer/2022082821/5697bfe01a28abf838cb3785/html5/thumbnails/1.jpg)
GOAL 1USING TWO OR MORE TRANSFORMATIONS
3.3 Solving Multi-Step Equations
EXAMPLE 1
1. Simplify each side of the equation first.
2. Perform inverse operations in reverse order.
SOLVING MULTI-STEP EQUATIONS
![Page 2: GOAL 1 USING TWO OR MORE TRANSFORMATIONS 3.3 Solving Multi-Step Equations EXAMPLE 1 1.Simplify each side of the equation first. 2.Perform inverse operations](https://reader036.vdocuments.us/reader036/viewer/2022082821/5697bfe01a28abf838cb3785/html5/thumbnails/2.jpg)
Extra Example 1
EXAMPLE 2
Solve:
15 10
2x
Click to see the solution
![Page 3: GOAL 1 USING TWO OR MORE TRANSFORMATIONS 3.3 Solving Multi-Step Equations EXAMPLE 1 1.Simplify each side of the equation first. 2.Perform inverse operations](https://reader036.vdocuments.us/reader036/viewer/2022082821/5697bfe01a28abf838cb3785/html5/thumbnails/3.jpg)
Extra Example 2Solve:
2x – 9x + 17 = –4
Click to see the solution
![Page 4: GOAL 1 USING TWO OR MORE TRANSFORMATIONS 3.3 Solving Multi-Step Equations EXAMPLE 1 1.Simplify each side of the equation first. 2.Perform inverse operations](https://reader036.vdocuments.us/reader036/viewer/2022082821/5697bfe01a28abf838cb3785/html5/thumbnails/4.jpg)
Checkpoint Solve
2 19 1
5 5x x
EXAMPLE 3
x = –50
![Page 5: GOAL 1 USING TWO OR MORE TRANSFORMATIONS 3.3 Solving Multi-Step Equations EXAMPLE 1 1.Simplify each side of the equation first. 2.Perform inverse operations](https://reader036.vdocuments.us/reader036/viewer/2022082821/5697bfe01a28abf838cb3785/html5/thumbnails/5.jpg)
Extra Example 3Solve
4x + 12(x – 3) = 28
EXAMPLE 4
Click to see the solution
![Page 6: GOAL 1 USING TWO OR MORE TRANSFORMATIONS 3.3 Solving Multi-Step Equations EXAMPLE 1 1.Simplify each side of the equation first. 2.Perform inverse operations](https://reader036.vdocuments.us/reader036/viewer/2022082821/5697bfe01a28abf838cb3785/html5/thumbnails/6.jpg)
Extra Example 4Solve
2x – 5(x – 9) = 27
Click to see the solution
![Page 7: GOAL 1 USING TWO OR MORE TRANSFORMATIONS 3.3 Solving Multi-Step Equations EXAMPLE 1 1.Simplify each side of the equation first. 2.Perform inverse operations](https://reader036.vdocuments.us/reader036/viewer/2022082821/5697bfe01a28abf838cb3785/html5/thumbnails/7.jpg)
CheckpointSolve
10x – 6(2x + 5) = 20
EXAMPLE 5
x = –25
![Page 8: GOAL 1 USING TWO OR MORE TRANSFORMATIONS 3.3 Solving Multi-Step Equations EXAMPLE 1 1.Simplify each side of the equation first. 2.Perform inverse operations](https://reader036.vdocuments.us/reader036/viewer/2022082821/5697bfe01a28abf838cb3785/html5/thumbnails/8.jpg)
Extra Example 5
Solve
312 2
10x
Click to see the solution
![Page 9: GOAL 1 USING TWO OR MORE TRANSFORMATIONS 3.3 Solving Multi-Step Equations EXAMPLE 1 1.Simplify each side of the equation first. 2.Perform inverse operations](https://reader036.vdocuments.us/reader036/viewer/2022082821/5697bfe01a28abf838cb3785/html5/thumbnails/9.jpg)
Checkpoint
Solve
424 7
3x
x = –11
![Page 10: GOAL 1 USING TWO OR MORE TRANSFORMATIONS 3.3 Solving Multi-Step Equations EXAMPLE 1 1.Simplify each side of the equation first. 2.Perform inverse operations](https://reader036.vdocuments.us/reader036/viewer/2022082821/5697bfe01a28abf838cb3785/html5/thumbnails/10.jpg)
GOAL 2 SOLVING REAL-LIFE PROBLEMS
We will look at some specific real-life problems to learn how to write multi-step equations which can then be solved.
3.3 Solving Multi-Step Equations
EXAMPLE 6
![Page 11: GOAL 1 USING TWO OR MORE TRANSFORMATIONS 3.3 Solving Multi-Step Equations EXAMPLE 1 1.Simplify each side of the equation first. 2.Perform inverse operations](https://reader036.vdocuments.us/reader036/viewer/2022082821/5697bfe01a28abf838cb3785/html5/thumbnails/11.jpg)
Extra Example 6What Celsius temperature would indicate a fever of 104°F?
Use the formula 9
32.5
F C
Click to see the solution
![Page 12: GOAL 1 USING TWO OR MORE TRANSFORMATIONS 3.3 Solving Multi-Step Equations EXAMPLE 1 1.Simplify each side of the equation first. 2.Perform inverse operations](https://reader036.vdocuments.us/reader036/viewer/2022082821/5697bfe01a28abf838cb3785/html5/thumbnails/12.jpg)
Checkpoint
Use to convert 212°F to Celsius.9
325
F C
EXAMPLE 7
C = 100
![Page 13: GOAL 1 USING TWO OR MORE TRANSFORMATIONS 3.3 Solving Multi-Step Equations EXAMPLE 1 1.Simplify each side of the equation first. 2.Perform inverse operations](https://reader036.vdocuments.us/reader036/viewer/2022082821/5697bfe01a28abf838cb3785/html5/thumbnails/13.jpg)
Extra Example 7Air temperature drops about 3°F for each 1000 ft increase in altitude. If the air temperature at sea level is 77°F, at what altitude would you expect the temperature to be 53°F?
Click to see the solution
![Page 14: GOAL 1 USING TWO OR MORE TRANSFORMATIONS 3.3 Solving Multi-Step Equations EXAMPLE 1 1.Simplify each side of the equation first. 2.Perform inverse operations](https://reader036.vdocuments.us/reader036/viewer/2022082821/5697bfe01a28abf838cb3785/html5/thumbnails/14.jpg)
CheckpointThe speed of a falling object increases 32 ft/sec for each second it falls. How many seconds will it take the speed of a rock dropped from a very high cliff to increase from 50 ft/sec to 210 ft/sec?
t = 5 sec
![Page 15: GOAL 1 USING TWO OR MORE TRANSFORMATIONS 3.3 Solving Multi-Step Equations EXAMPLE 1 1.Simplify each side of the equation first. 2.Perform inverse operations](https://reader036.vdocuments.us/reader036/viewer/2022082821/5697bfe01a28abf838cb3785/html5/thumbnails/15.jpg)
Example 8The sum of three numbers is 67. The second number is 4 more than three times the first number. The third number is three less than two times the first number. Find the three numbers.
Click to see the solution
![Page 16: GOAL 1 USING TWO OR MORE TRANSFORMATIONS 3.3 Solving Multi-Step Equations EXAMPLE 1 1.Simplify each side of the equation first. 2.Perform inverse operations](https://reader036.vdocuments.us/reader036/viewer/2022082821/5697bfe01a28abf838cb3785/html5/thumbnails/16.jpg)
QUESTIONS?