Lesson 3-5: Solving Equations with the Variable on Each Side.
-
Upload
clifton-sherman -
Category
Documents
-
view
221 -
download
0
Transcript of Lesson 3-5: Solving Equations with the Variable on Each Side.
![Page 1: Lesson 3-5: Solving Equations with the Variable on Each Side.](https://reader030.fdocuments.in/reader030/viewer/2022032806/56649eff5503460f94c13d2c/html5/thumbnails/1.jpg)
Lesson 3-5:Solving Equations
with the Variable on Each Side
![Page 2: Lesson 3-5: Solving Equations with the Variable on Each Side.](https://reader030.fdocuments.in/reader030/viewer/2022032806/56649eff5503460f94c13d2c/html5/thumbnails/2.jpg)
Objectives- I can solve equations with variables on both sides using multiple steps.
- I can determine when an equation has one solution, no solutions, and all real numbers for solutions.
![Page 3: Lesson 3-5: Solving Equations with the Variable on Each Side.](https://reader030.fdocuments.in/reader030/viewer/2022032806/56649eff5503460f94c13d2c/html5/thumbnails/3.jpg)
You will need graph paper at the
beginning of Chapter 4!!!!
![Page 4: Lesson 3-5: Solving Equations with the Variable on Each Side.](https://reader030.fdocuments.in/reader030/viewer/2022032806/56649eff5503460f94c13d2c/html5/thumbnails/4.jpg)
Example 1
Solve: -2 + 10p = 8p – 1
– 8p – 8p
-2 + 2p = -1
![Page 5: Lesson 3-5: Solving Equations with the Variable on Each Side.](https://reader030.fdocuments.in/reader030/viewer/2022032806/56649eff5503460f94c13d2c/html5/thumbnails/5.jpg)
Example 1
Solve: -2 + 10p = 8p – 1
– 8p – 8p
-2 + 2p = -1
+2 +2
2p = 1
![Page 6: Lesson 3-5: Solving Equations with the Variable on Each Side.](https://reader030.fdocuments.in/reader030/viewer/2022032806/56649eff5503460f94c13d2c/html5/thumbnails/6.jpg)
Example 1
Solve: -2 + 10p = 8p – 1
– 8p – 8p
-2 + 2p = -1
+2 +2
2p = 1
p = ½ 2
1
2
2
p
![Page 7: Lesson 3-5: Solving Equations with the Variable on Each Side.](https://reader030.fdocuments.in/reader030/viewer/2022032806/56649eff5503460f94c13d2c/html5/thumbnails/7.jpg)
Example 2
Solve: 2(w – 3) + 5 = 3(w – 1)
![Page 8: Lesson 3-5: Solving Equations with the Variable on Each Side.](https://reader030.fdocuments.in/reader030/viewer/2022032806/56649eff5503460f94c13d2c/html5/thumbnails/8.jpg)
Example 2
Solve: 2(w – 3) + 5 = 3(w – 1) 2w – 6 + 5 = 3w – 3
![Page 9: Lesson 3-5: Solving Equations with the Variable on Each Side.](https://reader030.fdocuments.in/reader030/viewer/2022032806/56649eff5503460f94c13d2c/html5/thumbnails/9.jpg)
Example 2
Solve: 2(w – 3) + 5 = 3(w – 1) 2w – 6 + 5 = 3w – 3
2w - 1 = 3w – 3
![Page 10: Lesson 3-5: Solving Equations with the Variable on Each Side.](https://reader030.fdocuments.in/reader030/viewer/2022032806/56649eff5503460f94c13d2c/html5/thumbnails/10.jpg)
Example 2
Solve: 2(w – 3) + 5 = 3(w – 1) 2w - 6 + 5 = 3w – 3
2w – 1 = 3w – 3 – 2w – 2w
![Page 11: Lesson 3-5: Solving Equations with the Variable on Each Side.](https://reader030.fdocuments.in/reader030/viewer/2022032806/56649eff5503460f94c13d2c/html5/thumbnails/11.jpg)
Example 2
Solve: 2(w – 3) + 5 = 3(w – 1) 2w - 6 + 5 = 3w – 3
2w – 1 = 3w – 3 – 2w – 2w -1 = w – 3
![Page 12: Lesson 3-5: Solving Equations with the Variable on Each Side.](https://reader030.fdocuments.in/reader030/viewer/2022032806/56649eff5503460f94c13d2c/html5/thumbnails/12.jpg)
Example 2
Solve: 2(w – 3) + 5 = 3(w – 1) 2w - 6 + 5 = 3w – 3
2w - 1 = 3w – 3 – 2w – 2w -1 = w – 3
+ 3 + 3
![Page 13: Lesson 3-5: Solving Equations with the Variable on Each Side.](https://reader030.fdocuments.in/reader030/viewer/2022032806/56649eff5503460f94c13d2c/html5/thumbnails/13.jpg)
Example 2
Solve: 2(w – 3) + 5 = 3(w – 1) 2w - 6 + 5 = 3w – 3
2w - 1 = 3w – 3 – 2w – 2w -1 = w – 3
+ 3 + 3 2 = w
![Page 14: Lesson 3-5: Solving Equations with the Variable on Each Side.](https://reader030.fdocuments.in/reader030/viewer/2022032806/56649eff5503460f94c13d2c/html5/thumbnails/14.jpg)
Example 3
Solve: 8(5c – 2) = 10(32 + 4c)
40c – 16 = 320 + 40c
– 40c – 40c
-16 = 320
No solution
![Page 15: Lesson 3-5: Solving Equations with the Variable on Each Side.](https://reader030.fdocuments.in/reader030/viewer/2022032806/56649eff5503460f94c13d2c/html5/thumbnails/15.jpg)
Example 4
Solve:
All Real Numbers
40020204 51 tt
804 t t4 80t4 t4
8080
![Page 16: Lesson 3-5: Solving Equations with the Variable on Each Side.](https://reader030.fdocuments.in/reader030/viewer/2022032806/56649eff5503460f94c13d2c/html5/thumbnails/16.jpg)
Homework
Pgs. 152-153: 16-42 Evens