solving equations with steps (barb’s nazi way…) have a white board/marker/wipe and a...
TRANSCRIPT
![Page 1: Solving Equations with Steps (Barb’s Nazi Way…) Have a white board/marker/wipe and a calculator…](https://reader030.vdocument.in/reader030/viewer/2022032806/56649efe5503460f94c12f1b/html5/thumbnails/1.jpg)
Solving Equations Solving Equations with Stepswith Steps
(Barb’s Nazi Way…)(Barb’s Nazi Way…)
Have a white board/marker/wipe and a calculator…
![Page 2: Solving Equations with Steps (Barb’s Nazi Way…) Have a white board/marker/wipe and a calculator…](https://reader030.vdocument.in/reader030/viewer/2022032806/56649efe5503460f94c12f1b/html5/thumbnails/2.jpg)
DefinitionsDefinitions
• An EQUATION is a math sentence.– It contains two expressions, separated by
the equals sign (=).
• The WALL is merely two parallel bars drawn to separate the two expressions.
• INVERSES are operations that undo each other.
• P--E--MD--AS is done backwards.
![Page 3: Solving Equations with Steps (Barb’s Nazi Way…) Have a white board/marker/wipe and a calculator…](https://reader030.vdocument.in/reader030/viewer/2022032806/56649efe5503460f94c12f1b/html5/thumbnails/3.jpg)
Just Checking…Just Checking…
• What is an equation?
• How is it different from an expression?
• What is the wall?
• What are inverses?
• Give 3 examples of inverses.
• How is P--E--MD--AS done?
![Page 4: Solving Equations with Steps (Barb’s Nazi Way…) Have a white board/marker/wipe and a calculator…](https://reader030.vdocument.in/reader030/viewer/2022032806/56649efe5503460f94c12f1b/html5/thumbnails/4.jpg)
Example: 3x + -2 = -7Example: 3x + -2 = -7
• Why is this an equation?• What are the two expressions in
this equation?• Which one of the expressions is in
simplest form?
![Page 5: Solving Equations with Steps (Barb’s Nazi Way…) Have a white board/marker/wipe and a calculator…](https://reader030.vdocument.in/reader030/viewer/2022032806/56649efe5503460f94c12f1b/html5/thumbnails/5.jpg)
Steps to solve equations:Steps to solve equations:1. Copy the problem.2. Draw the wall.3. Recopy the problem (leave a little space on the
left).4. Do backwards! Use inverse operations
on both sides of the equal sign.
5. Solve like expressions - answer underneath.6. Cloud answer.7. Write the check and arrow up to original
answer.
P
E
MD
AS
![Page 6: Solving Equations with Steps (Barb’s Nazi Way…) Have a white board/marker/wipe and a calculator…](https://reader030.vdocument.in/reader030/viewer/2022032806/56649efe5503460f94c12f1b/html5/thumbnails/6.jpg)
SolveSolve
4x + 5 = 15
![Page 7: Solving Equations with Steps (Barb’s Nazi Way…) Have a white board/marker/wipe and a calculator…](https://reader030.vdocument.in/reader030/viewer/2022032806/56649efe5503460f94c12f1b/html5/thumbnails/7.jpg)
SolveSolve
4x + 5 = 15
![Page 8: Solving Equations with Steps (Barb’s Nazi Way…) Have a white board/marker/wipe and a calculator…](https://reader030.vdocument.in/reader030/viewer/2022032806/56649efe5503460f94c12f1b/html5/thumbnails/8.jpg)
SolveSolve
4x + 5 = 15
4x + 5 - 5 = 15
![Page 9: Solving Equations with Steps (Barb’s Nazi Way…) Have a white board/marker/wipe and a calculator…](https://reader030.vdocument.in/reader030/viewer/2022032806/56649efe5503460f94c12f1b/html5/thumbnails/9.jpg)
SolveSolve
4x + 5 = 15
4x + 5 - 5 = 15 - 5
![Page 10: Solving Equations with Steps (Barb’s Nazi Way…) Have a white board/marker/wipe and a calculator…](https://reader030.vdocument.in/reader030/viewer/2022032806/56649efe5503460f94c12f1b/html5/thumbnails/10.jpg)
SolveSolve
4x + 5 = 15
4x + 5 - 5 = 15 - 5
4x + 0 = 10
![Page 11: Solving Equations with Steps (Barb’s Nazi Way…) Have a white board/marker/wipe and a calculator…](https://reader030.vdocument.in/reader030/viewer/2022032806/56649efe5503460f94c12f1b/html5/thumbnails/11.jpg)
SolveSolve
4x + 5 = 15
4x + 5 - 5 = 15 - 5
4x + 0 = 10
4x = 10
![Page 12: Solving Equations with Steps (Barb’s Nazi Way…) Have a white board/marker/wipe and a calculator…](https://reader030.vdocument.in/reader030/viewer/2022032806/56649efe5503460f94c12f1b/html5/thumbnails/12.jpg)
SolveSolve
4x + 5 = 15
4x + 5 - 5 = 15 - 5
4x + 0 = 10
4x = 10
4 4
![Page 13: Solving Equations with Steps (Barb’s Nazi Way…) Have a white board/marker/wipe and a calculator…](https://reader030.vdocument.in/reader030/viewer/2022032806/56649efe5503460f94c12f1b/html5/thumbnails/13.jpg)
SolveSolve
4x + 5 = 15
4x + 5 - 5 = 15 - 5
4x + 0 = 10
4x = 10
4 4
![Page 14: Solving Equations with Steps (Barb’s Nazi Way…) Have a white board/marker/wipe and a calculator…](https://reader030.vdocument.in/reader030/viewer/2022032806/56649efe5503460f94c12f1b/html5/thumbnails/14.jpg)
SolveSolve
4x + 5 = 15
4x + 5 - 5 = 15 - 5
4x + 0 = 10
4x = 10
4 4
1
1
![Page 15: Solving Equations with Steps (Barb’s Nazi Way…) Have a white board/marker/wipe and a calculator…](https://reader030.vdocument.in/reader030/viewer/2022032806/56649efe5503460f94c12f1b/html5/thumbnails/15.jpg)
SolveSolve
4x + 5 = 15
4x + 5 - 5 = 15 - 5
4x + 0 = 10
4x = 10
4 4
1x = 2.5
1
1
![Page 16: Solving Equations with Steps (Barb’s Nazi Way…) Have a white board/marker/wipe and a calculator…](https://reader030.vdocument.in/reader030/viewer/2022032806/56649efe5503460f94c12f1b/html5/thumbnails/16.jpg)
SolveSolve
4x + 5 = 15
4x + 5 - 5 = 15 - 5
4x + 0 = 10
4x = 10
4 4
1x = 2.5
x = 2.5
1
1
![Page 17: Solving Equations with Steps (Barb’s Nazi Way…) Have a white board/marker/wipe and a calculator…](https://reader030.vdocument.in/reader030/viewer/2022032806/56649efe5503460f94c12f1b/html5/thumbnails/17.jpg)
SolveSolve
4x + 5 = 15
4x + 5 - 5 = 15 - 5
4x + 0 = 10
4x = 10
4 4
1x = 2.5
x = 2.5
1
1
![Page 18: Solving Equations with Steps (Barb’s Nazi Way…) Have a white board/marker/wipe and a calculator…](https://reader030.vdocument.in/reader030/viewer/2022032806/56649efe5503460f94c12f1b/html5/thumbnails/18.jpg)
SolveSolve
4x + 5 = 15
4x + 5 - 5 = 15 - 5
4x + 0 = 10
4x = 10
4 4
1x = 2.5
x = 2.5
1
1
Check: 4 • 2.5 + 5 10 + 5 = 15
![Page 19: Solving Equations with Steps (Barb’s Nazi Way…) Have a white board/marker/wipe and a calculator…](https://reader030.vdocument.in/reader030/viewer/2022032806/56649efe5503460f94c12f1b/html5/thumbnails/19.jpg)
SolveSolve
4x + 5 = 15
4x + 5 - 5 = 15 - 5
4x + 0 = 10
4x = 10
4 4
1x = 2.5
x = 2.5
1
1
Check: 4 • 2.5 + 5 10 + 5 = 15
![Page 20: Solving Equations with Steps (Barb’s Nazi Way…) Have a white board/marker/wipe and a calculator…](https://reader030.vdocument.in/reader030/viewer/2022032806/56649efe5503460f94c12f1b/html5/thumbnails/20.jpg)
SolveSolve
4x + 5 = 15
4x + 5 - 5 = 15 - 5
4x + 0 = 10
4x = 10
4 4
1x = 2.5
x = 2.5
1
1
Check: 4 • 2.5 + 5 10 + 5 = 15
![Page 21: Solving Equations with Steps (Barb’s Nazi Way…) Have a white board/marker/wipe and a calculator…](https://reader030.vdocument.in/reader030/viewer/2022032806/56649efe5503460f94c12f1b/html5/thumbnails/21.jpg)
Try these:Try these:
1. 125 + 3b = 154.97
2. 4t + 7 = 3
3. 15 = 3y - (-6)
4. n / (-8) + 2 = -3
5. 30 = x / 3 - 9
6. -4.2 = 23 + 8a
Bonus: 3n + 9 + 4n = 2