Objective: Solve equations that involve more than one operation. 7-2 Solving Two-Step Equations.
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Transcript of Objective: Solve equations that involve more than one operation. 7-2 Solving Two-Step Equations.
![Page 1: Objective: Solve equations that involve more than one operation. 7-2 Solving Two-Step Equations.](https://reader036.fdocuments.net/reader036/viewer/2022062302/5a4d1b4f7f8b9ab0599a6c49/html5/thumbnails/1.jpg)
Objective: Solve equations that involve more than one operation.
7-2 Solving Two-Step Equations
![Page 2: Objective: Solve equations that involve more than one operation. 7-2 Solving Two-Step Equations.](https://reader036.fdocuments.net/reader036/viewer/2022062302/5a4d1b4f7f8b9ab0599a6c49/html5/thumbnails/2.jpg)
5-Minute Check1. Rupesh earned some money mowing lawns one month.
He put half of his money into savings. With the rest, he spent $15 on a new CD, $6 to see a movie, $3 on food, and he still had $24 left. How much money did Rupesh earn mowing lawns that month?
![Page 3: Objective: Solve equations that involve more than one operation. 7-2 Solving Two-Step Equations.](https://reader036.fdocuments.net/reader036/viewer/2022062302/5a4d1b4f7f8b9ab0599a6c49/html5/thumbnails/3.jpg)
5-Minute Check1. Rupesh earned some money mowing lawns one month.
He put half of his money into savings. With the rest, he spent $15 on a new CD, $6 to see a movie, $3 on food, and he still had $24 left. How much money did Rupesh earn mowing lawns that month?
$96
![Page 4: Objective: Solve equations that involve more than one operation. 7-2 Solving Two-Step Equations.](https://reader036.fdocuments.net/reader036/viewer/2022062302/5a4d1b4f7f8b9ab0599a6c49/html5/thumbnails/4.jpg)
7-2 Solving Two-Step Equations
To solve two-step equations, first undo operations involving numbers without variables.
![Page 5: Objective: Solve equations that involve more than one operation. 7-2 Solving Two-Step Equations.](https://reader036.fdocuments.net/reader036/viewer/2022062302/5a4d1b4f7f8b9ab0599a6c49/html5/thumbnails/5.jpg)
7-2 Solving Two-Step EquationsExampleSolve b/2 – 8 = 20. Check your solution.
![Page 6: Objective: Solve equations that involve more than one operation. 7-2 Solving Two-Step Equations.](https://reader036.fdocuments.net/reader036/viewer/2022062302/5a4d1b4f7f8b9ab0599a6c49/html5/thumbnails/6.jpg)
7-2 Solving Two-Step EquationsExampleSolve b/2 – 8 = 20. Check your solution.
b/2 – 8 = 20 b/2 – 8 + 8 = 20 + 8 Add 8 to each side.
![Page 7: Objective: Solve equations that involve more than one operation. 7-2 Solving Two-Step Equations.](https://reader036.fdocuments.net/reader036/viewer/2022062302/5a4d1b4f7f8b9ab0599a6c49/html5/thumbnails/7.jpg)
7-2 Solving Two-Step EquationsExampleSolve b/2 – 8 = 20. Check your solution.
b/2 – 8 = 20 b/2 – 8 + 8 = 20 + 8
b/2 = 28Add 8 to each side.
![Page 8: Objective: Solve equations that involve more than one operation. 7-2 Solving Two-Step Equations.](https://reader036.fdocuments.net/reader036/viewer/2022062302/5a4d1b4f7f8b9ab0599a6c49/html5/thumbnails/8.jpg)
7-2 Solving Two-Step EquationsExampleSolve b/2 – 8 = 20. Check your solution.
b/2 – 8 = 20 b/2 – 8 + 8 = 20 + 8
b/2 = 28 2* b/2 = 28 * 2
Add 8 to each side.
Multiply each side by 2.
![Page 9: Objective: Solve equations that involve more than one operation. 7-2 Solving Two-Step Equations.](https://reader036.fdocuments.net/reader036/viewer/2022062302/5a4d1b4f7f8b9ab0599a6c49/html5/thumbnails/9.jpg)
7-2 Solving Two-Step EquationsExampleSolve b/2 – 8 = 20. Check your solution.
b/2 – 8 = 20 b/2 – 8 + 8 = 20 + 8
b/2 = 28 2* b/2 = 28 * 2 b = 56
Add 8 to each side.
Multiply each side by 2.
![Page 10: Objective: Solve equations that involve more than one operation. 7-2 Solving Two-Step Equations.](https://reader036.fdocuments.net/reader036/viewer/2022062302/5a4d1b4f7f8b9ab0599a6c49/html5/thumbnails/10.jpg)
7-2 Solving Two-Step EquationsExampleSolve b/2 – 8 = 20. Check your solution.
b/2 – 8 = 20 b/2 – 8 + 8 = 20 + 8
b/2 = 28 2* b/2 = 28 * 2 b = 56
Check: b/2 – 8 = 20
Add 8 to each side.
Multiply each side by 2.
![Page 11: Objective: Solve equations that involve more than one operation. 7-2 Solving Two-Step Equations.](https://reader036.fdocuments.net/reader036/viewer/2022062302/5a4d1b4f7f8b9ab0599a6c49/html5/thumbnails/11.jpg)
7-2 Solving Two-Step EquationsExampleSolve b/2 – 8 = 20. Check your solution.
b/2 – 8 = 20 b/2 – 8 + 8 = 20 + 8
b/2 = 28 2* b/2 = 28 * 2 b = 56
Check: b/2 – 8 = 20 56/2 – 8 ?= 20
Add 8 to each side.
Multiply each side by 2.
Replace b with 56.
![Page 12: Objective: Solve equations that involve more than one operation. 7-2 Solving Two-Step Equations.](https://reader036.fdocuments.net/reader036/viewer/2022062302/5a4d1b4f7f8b9ab0599a6c49/html5/thumbnails/12.jpg)
7-2 Solving Two-Step EquationsExampleSolve b/2 – 8 = 20. Check your solution.
b/2 – 8 = 20 b/2 – 8 + 8 = 20 + 8
b/2 = 28 2* b/2 = 28 * 2 b = 56
Check: b/2 – 8 = 20 56/2 – 8 ?= 20 28 – 8 ?= 20
Add 8 to each side.
Multiply each side by 2.
Replace b with 56.Do the division first.
![Page 13: Objective: Solve equations that involve more than one operation. 7-2 Solving Two-Step Equations.](https://reader036.fdocuments.net/reader036/viewer/2022062302/5a4d1b4f7f8b9ab0599a6c49/html5/thumbnails/13.jpg)
7-2 Solving Two-Step EquationsExampleSolve b/2 – 8 = 20. Check your solution.
b/2 – 8 = 20 b/2 – 8 + 8 = 20 + 8
b/2 = 28 2* b/2 = 28 * 2 b = 56
Check: b/2 – 8 = 20 56/2 – 8 ?= 20 28 – 8 ?= 20
20 ?= 20
Add 8 to each side.
Multiply each side by 2.
Replace b with 56.Do the division first.The solution is 56.
![Page 14: Objective: Solve equations that involve more than one operation. 7-2 Solving Two-Step Equations.](https://reader036.fdocuments.net/reader036/viewer/2022062302/5a4d1b4f7f8b9ab0599a6c49/html5/thumbnails/14.jpg)
7-2 Solving Two-Step EquationsExampleSolve b/2 – 8 = 20. Check your solution.
b/2 – 8 = 20 b/2 – 8 + 8 = 20 + 8
b/2 = 28 2* b/2 = 28 * 2 b = 56
Check: b/2 – 8 = 20 56/2 – 8 ?= 20 28 – 8 ?= 20
20 ?= 20
Add 8 to each side.
Multiply each side by 2.
Replace b with 56.Do the division first.The solution is 56.
![Page 15: Objective: Solve equations that involve more than one operation. 7-2 Solving Two-Step Equations.](https://reader036.fdocuments.net/reader036/viewer/2022062302/5a4d1b4f7f8b9ab0599a6c49/html5/thumbnails/15.jpg)
SOLVE ON YOUR OWN12b – 7 = 137
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COMBINING LIKE TERMS4m + 2m – 7 = 23 combine like terms
first 4m + 2m
6m - 7 = 23 add 7 to both sides + 7 = +7 6m = 30 divide both sides by
6 / 6 / 6 m = 5
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COMBINE ON YOUR OWN
7m – 4 + 2m +7 = 30
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VARIABLES IN BOTH SIDES5s + 2 = 10 + 1s move all the variables
in one side -1s -1s 4s + 2 = 10 subtract 2 from both
sides - 2 -2 4s = 8 divide both sides by 4 /4 /4 s = 2
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SOLVE ON YOUR OWN6b + 9 = 3b + 12