Lesson 2.2: Solving Equations Using Addition and Subtraction Algebra 1 CP Mrs. Mongold.
Solving Addition and Subtraction Equations. Objective: To solve addition and subtraction equations...
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Transcript of Solving Addition and Subtraction Equations. Objective: To solve addition and subtraction equations...
![Page 1: Solving Addition and Subtraction Equations. Objective: To solve addition and subtraction equations using required form and inverse operations.](https://reader036.fdocuments.in/reader036/viewer/2022081809/5a4d1b727f8b9ab0599b5ccd/html5/thumbnails/1.jpg)
Solving Addition and Subtraction
Equations
![Page 2: Solving Addition and Subtraction Equations. Objective: To solve addition and subtraction equations using required form and inverse operations.](https://reader036.fdocuments.in/reader036/viewer/2022081809/5a4d1b727f8b9ab0599b5ccd/html5/thumbnails/2.jpg)
Objective:
To solve addition and subtraction equations using required form and inverse operations.
![Page 3: Solving Addition and Subtraction Equations. Objective: To solve addition and subtraction equations using required form and inverse operations.](https://reader036.fdocuments.in/reader036/viewer/2022081809/5a4d1b727f8b9ab0599b5ccd/html5/thumbnails/3.jpg)
NOTES:Addition and subtraction are
called inverse operations (opposites). They can be used to “undo” or “cancel” each other and help us to solve an equation for a missing value.
![Page 4: Solving Addition and Subtraction Equations. Objective: To solve addition and subtraction equations using required form and inverse operations.](https://reader036.fdocuments.in/reader036/viewer/2022081809/5a4d1b727f8b9ab0599b5ccd/html5/thumbnails/4.jpg)
NOTES:However, the inverse operation must
be done on both sides of an equation so that it cancels an operation on one side and takes it to the other side. We will use required form and a check-step to prove each value is correct.
![Page 5: Solving Addition and Subtraction Equations. Objective: To solve addition and subtraction equations using required form and inverse operations.](https://reader036.fdocuments.in/reader036/viewer/2022081809/5a4d1b727f8b9ab0599b5ccd/html5/thumbnails/5.jpg)
Notes:
Our goal is to isolate the variable.
To do this, we must remember, “What we do to one side, we have to do to the other.”
![Page 6: Solving Addition and Subtraction Equations. Objective: To solve addition and subtraction equations using required form and inverse operations.](https://reader036.fdocuments.in/reader036/viewer/2022081809/5a4d1b727f8b9ab0599b5ccd/html5/thumbnails/6.jpg)
Solve. 22 = y – 11
22 = y – 11+ 11 + 11
33 = y + 0
33 = y
Check22 = y – 11?
22 = 33 – 11
22 = 22
![Page 7: Solving Addition and Subtraction Equations. Objective: To solve addition and subtraction equations using required form and inverse operations.](https://reader036.fdocuments.in/reader036/viewer/2022081809/5a4d1b727f8b9ab0599b5ccd/html5/thumbnails/7.jpg)
Solve.A. 15 + n = 29
15 + n = 29–15 –15 0 + n = 14
n = 14
Check15 + n = 29
?10 + 14 = 29
29 = 29
![Page 8: Solving Addition and Subtraction Equations. Objective: To solve addition and subtraction equations using required form and inverse operations.](https://reader036.fdocuments.in/reader036/viewer/2022081809/5a4d1b727f8b9ab0599b5ccd/html5/thumbnails/8.jpg)
Examples: Solve using required form and a check-step. Any “scratch” work should go on scratch paper.
Ex 1) 7 10x
![Page 9: Solving Addition and Subtraction Equations. Objective: To solve addition and subtraction equations using required form and inverse operations.](https://reader036.fdocuments.in/reader036/viewer/2022081809/5a4d1b727f8b9ab0599b5ccd/html5/thumbnails/9.jpg)
Ex 2) 4 16y
![Page 10: Solving Addition and Subtraction Equations. Objective: To solve addition and subtraction equations using required form and inverse operations.](https://reader036.fdocuments.in/reader036/viewer/2022081809/5a4d1b727f8b9ab0599b5ccd/html5/thumbnails/10.jpg)
Ex 3) 20 4z
![Page 11: Solving Addition and Subtraction Equations. Objective: To solve addition and subtraction equations using required form and inverse operations.](https://reader036.fdocuments.in/reader036/viewer/2022081809/5a4d1b727f8b9ab0599b5ccd/html5/thumbnails/11.jpg)
Ex 4) 11 2.9y
![Page 12: Solving Addition and Subtraction Equations. Objective: To solve addition and subtraction equations using required form and inverse operations.](https://reader036.fdocuments.in/reader036/viewer/2022081809/5a4d1b727f8b9ab0599b5ccd/html5/thumbnails/12.jpg)
Ex ) 15.37 76f
![Page 13: Solving Addition and Subtraction Equations. Objective: To solve addition and subtraction equations using required form and inverse operations.](https://reader036.fdocuments.in/reader036/viewer/2022081809/5a4d1b727f8b9ab0599b5ccd/html5/thumbnails/13.jpg)
Ex 8) 25 13.4h
![Page 14: Solving Addition and Subtraction Equations. Objective: To solve addition and subtraction equations using required form and inverse operations.](https://reader036.fdocuments.in/reader036/viewer/2022081809/5a4d1b727f8b9ab0599b5ccd/html5/thumbnails/14.jpg)
![Page 15: Solving Addition and Subtraction Equations. Objective: To solve addition and subtraction equations using required form and inverse operations.](https://reader036.fdocuments.in/reader036/viewer/2022081809/5a4d1b727f8b9ab0599b5ccd/html5/thumbnails/15.jpg)
Homework:
1. -6(3x – 8) 2. (-m + 9)(-3) 3. (3)(-6 – x) 4. 2(x – y + 1) 5. 4(6p + 2q – 2p) 6. p(m+ 2)