solving multi-step equations
DESCRIPTION
Solving Multi-Step Equations. Just remember to follow the steps Distribute if you can Collect all like terms to simplify Isolate the variable using the opposite order of operations Check your answer. Example # 1. 1 st Step: Distribute if you can - PowerPoint PPT PresentationTRANSCRIPT
![Page 1: Solving Multi-Step Equations](https://reader035.vdocuments.us/reader035/viewer/2022071807/56812fa6550346895d95274a/html5/thumbnails/1.jpg)
Solving Multi-Step Equations
Just remember to follow the steps1. Distribute if you can2. Collect all like terms to simplify3. Isolate the variable using the opposite
order of operations 4. Check your answer
![Page 2: Solving Multi-Step Equations](https://reader035.vdocuments.us/reader035/viewer/2022071807/56812fa6550346895d95274a/html5/thumbnails/2.jpg)
Example # 1
15 – 4 ( y + 3 ) = 1915 - 4y - 12 = 19 3 - 4y =
19 -3 - 3
-4 y = 16-4 -4 y = -4
1st Step: Distribute if you can
2nd Step: Collect like terms to simplify
3rd Step: Isolate the variable using the opposite order of operations
4th step: Check your answer
15 – 4 ( y + 3 ) = 1915 – 4 ( -4 + 3) = 1915 + 16 – 12 = 19 31 – 12 = 19
19 = 19
![Page 3: Solving Multi-Step Equations](https://reader035.vdocuments.us/reader035/viewer/2022071807/56812fa6550346895d95274a/html5/thumbnails/3.jpg)
Example # 2
¼ (12 x – 16) + x = 20
1st Step: Distribute if you can
2nd Step: Collect like terms to simplify
3rd Step: Isolate the variable using the opposite order of operations
4th step: Check your answer
![Page 4: Solving Multi-Step Equations](https://reader035.vdocuments.us/reader035/viewer/2022071807/56812fa6550346895d95274a/html5/thumbnails/4.jpg)
Example # 3
2( 4x + 3) – 5(2x – 1) = 27 1st Step: Distribute if you can
2nd Step: Collect like terms to simplify
3rd Step: Isolate the variable using the opposite order of operations
4th step: Check your answer
![Page 5: Solving Multi-Step Equations](https://reader035.vdocuments.us/reader035/viewer/2022071807/56812fa6550346895d95274a/html5/thumbnails/5.jpg)
The Distributive Property
Our Friend for Solving Equations
Also starring, his Wacky Sidekick, Combining Like Terms
![Page 6: Solving Multi-Step Equations](https://reader035.vdocuments.us/reader035/viewer/2022071807/56812fa6550346895d95274a/html5/thumbnails/6.jpg)
3(2x + 5) = 39
![Page 7: Solving Multi-Step Equations](https://reader035.vdocuments.us/reader035/viewer/2022071807/56812fa6550346895d95274a/html5/thumbnails/7.jpg)
Answer: x = 4
![Page 8: Solving Multi-Step Equations](https://reader035.vdocuments.us/reader035/viewer/2022071807/56812fa6550346895d95274a/html5/thumbnails/8.jpg)
- 4(8 + 5n) = 8
![Page 9: Solving Multi-Step Equations](https://reader035.vdocuments.us/reader035/viewer/2022071807/56812fa6550346895d95274a/html5/thumbnails/9.jpg)
Answer: n = -2
![Page 10: Solving Multi-Step Equations](https://reader035.vdocuments.us/reader035/viewer/2022071807/56812fa6550346895d95274a/html5/thumbnails/10.jpg)
6(3x - 5) - 7x = 25
![Page 11: Solving Multi-Step Equations](https://reader035.vdocuments.us/reader035/viewer/2022071807/56812fa6550346895d95274a/html5/thumbnails/11.jpg)
Answer: x = 5
![Page 12: Solving Multi-Step Equations](https://reader035.vdocuments.us/reader035/viewer/2022071807/56812fa6550346895d95274a/html5/thumbnails/12.jpg)
-2(5 + 6m) + 16 = -90
![Page 13: Solving Multi-Step Equations](https://reader035.vdocuments.us/reader035/viewer/2022071807/56812fa6550346895d95274a/html5/thumbnails/13.jpg)
Answer: m = 8
![Page 14: Solving Multi-Step Equations](https://reader035.vdocuments.us/reader035/viewer/2022071807/56812fa6550346895d95274a/html5/thumbnails/14.jpg)
18x - (8x - 7) = 67
![Page 15: Solving Multi-Step Equations](https://reader035.vdocuments.us/reader035/viewer/2022071807/56812fa6550346895d95274a/html5/thumbnails/15.jpg)
Answer: x = 6
![Page 16: Solving Multi-Step Equations](https://reader035.vdocuments.us/reader035/viewer/2022071807/56812fa6550346895d95274a/html5/thumbnails/16.jpg)
7w - 3(4w + 8) = 11
![Page 17: Solving Multi-Step Equations](https://reader035.vdocuments.us/reader035/viewer/2022071807/56812fa6550346895d95274a/html5/thumbnails/17.jpg)
Answer w = -7
![Page 18: Solving Multi-Step Equations](https://reader035.vdocuments.us/reader035/viewer/2022071807/56812fa6550346895d95274a/html5/thumbnails/18.jpg)
Solving Multi-Step Equations with Distributive Property & Collecting Like
TermsWrite and solve an equation to
find the missing length, a, if the length of the two line segments combined is 36 cm.
2a cm 4a cm
![Page 19: Solving Multi-Step Equations](https://reader035.vdocuments.us/reader035/viewer/2022071807/56812fa6550346895d95274a/html5/thumbnails/19.jpg)
1st Step: Collect like terms to simplify 2nd Step: Isolate the variable using the opposite order of operations
3rd step: Check your answer
Write and solve an equation to find the missing length, a, if the length of the two line segments combined is 36 cm.
2a cm 4a cm
2a + 4a = 36 6a = 36 6 6 a = 6
2(6) + 4(6) = 3612+ 24 36 = 36
![Page 20: Solving Multi-Step Equations](https://reader035.vdocuments.us/reader035/viewer/2022071807/56812fa6550346895d95274a/html5/thumbnails/20.jpg)
1st Step: Distribute if you can2nd Step: Collect like terms to simplify 3rd Step: Isolate the variable using the opposite order of operations 4th step: Check your answer
Six friends go to the movies. Movie tickets are $5 and treats are $2 each. If all 6 friends bought the same number of treats, how many did each person buy if the total spent by all was $54?
6(5 + 2x) = 5430 + 12x = 54-30 -30 12x = 24
12 12 x = 2
6 ( 5 + 2x ) = 546 ( 5 + 2*2) 6 ( 5 + 4) 6(9) 54 = 54