Solving Multi-Step Equations
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Solving Multi-Step Equations
Objective: Solve equations that involve more than one operation.
![Page 2: Solving Multi-Step Equations](https://reader035.fdocuments.us/reader035/viewer/2022072013/56812ad5550346895d8eb9f9/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: Solving Multi-Step Equations](https://reader035.fdocuments.us/reader035/viewer/2022072013/56812ad5550346895d8eb9f9/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: Solving Multi-Step Equations](https://reader035.fdocuments.us/reader035/viewer/2022072013/56812ad5550346895d8eb9f9/html5/thumbnails/4.jpg)
5-Minute Check1. In an intramural basketball game, Annie made 6 points
more than Roberto. Roberto made half as many points as Charlie. Charlie made 3 more points than Darla. If Darla made 9 points, how many points did Annie make?
![Page 5: Solving Multi-Step Equations](https://reader035.fdocuments.us/reader035/viewer/2022072013/56812ad5550346895d8eb9f9/html5/thumbnails/5.jpg)
5-Minute Check1. In an intramural basketball game, Annie made 6 points
more than Roberto. Roberto made half as many points as Charlie. Charlie made 3 more points than Darla. If Darla made 9 points, how many points did Annie make?
12 points
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Solving Multi-Step Equations
To solve multi-step equations, first undo operations involving numbers without variables.
![Page 7: Solving Multi-Step Equations](https://reader035.fdocuments.us/reader035/viewer/2022072013/56812ad5550346895d8eb9f9/html5/thumbnails/7.jpg)
Solving Multi-Step Equations
ExampleSolve b/2 – 8 = 20. Check your solution.
![Page 8: Solving Multi-Step Equations](https://reader035.fdocuments.us/reader035/viewer/2022072013/56812ad5550346895d8eb9f9/html5/thumbnails/8.jpg)
Solving Multi-Step Equations
ExampleSolve b/2 – 8 = 20. Check your solution.
b/2 – 8 = 20 b/2 – 8 + 8 = 20 + 8 Add 8 to each side.
![Page 9: Solving Multi-Step Equations](https://reader035.fdocuments.us/reader035/viewer/2022072013/56812ad5550346895d8eb9f9/html5/thumbnails/9.jpg)
Solving Multi-Step Equations
ExampleSolve b/2 – 8 = 20. Check your solution.
b/2 – 8 = 20 b/2 – 8 + 8 = 20 + 8
b/2 = 28
Add 8 to each side.
![Page 10: Solving Multi-Step Equations](https://reader035.fdocuments.us/reader035/viewer/2022072013/56812ad5550346895d8eb9f9/html5/thumbnails/10.jpg)
Solving Multi-Step Equations
ExampleSolve 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 11: Solving Multi-Step Equations](https://reader035.fdocuments.us/reader035/viewer/2022072013/56812ad5550346895d8eb9f9/html5/thumbnails/11.jpg)
Solving Multi-Step Equations
ExampleSolve 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 12: Solving Multi-Step Equations](https://reader035.fdocuments.us/reader035/viewer/2022072013/56812ad5550346895d8eb9f9/html5/thumbnails/12.jpg)
Solving Multi-Step Equations
ExampleSolve 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 13: Solving Multi-Step Equations](https://reader035.fdocuments.us/reader035/viewer/2022072013/56812ad5550346895d8eb9f9/html5/thumbnails/13.jpg)
Solving Multi-Step Equations
ExampleSolve 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 14: Solving Multi-Step Equations](https://reader035.fdocuments.us/reader035/viewer/2022072013/56812ad5550346895d8eb9f9/html5/thumbnails/14.jpg)
Solving Multi-Step Equations
ExampleSolve 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 15: Solving Multi-Step Equations](https://reader035.fdocuments.us/reader035/viewer/2022072013/56812ad5550346895d8eb9f9/html5/thumbnails/15.jpg)
Solving Multi-Step Equations
ExampleSolve 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 16: Solving Multi-Step Equations](https://reader035.fdocuments.us/reader035/viewer/2022072013/56812ad5550346895d8eb9f9/html5/thumbnails/16.jpg)
Solving Multi-Step Equations
ExampleSolve 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 17: Solving Multi-Step Equations](https://reader035.fdocuments.us/reader035/viewer/2022072013/56812ad5550346895d8eb9f9/html5/thumbnails/17.jpg)
Solving Multi-Step Equations
Application: Solve the following by first writing an equation.
Teresa’s grocery bill totaled $12.5. If she bought an item for $7.94 and two packs of soft drinks, how much did each pack of soft drinks cost?
![Page 18: Solving Multi-Step Equations](https://reader035.fdocuments.us/reader035/viewer/2022072013/56812ad5550346895d8eb9f9/html5/thumbnails/18.jpg)
Solving Multi-Step Equations
Application: Solve the following by first writing an equation.
Teresa’s grocery bill totaled $12.5. If she bought an item for $7.94 and two packs of soft drinks, how much did each pack of soft drinks cost?
Answer: $2.28
![Page 19: Solving Multi-Step Equations](https://reader035.fdocuments.us/reader035/viewer/2022072013/56812ad5550346895d8eb9f9/html5/thumbnails/19.jpg)
Solving Multi-Step Equations
Assignment: Page 59012 - 32 odd, show your work.