- 66 Views
- Uploaded on

Download Presentation
## PowerPoint Slideshow about ' Section 3.5' - silas-church

**An Image/Link below is provided (as is) to download presentation**
Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author.While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server.

Presentation Transcript

Distributive Property

You must use the Distributive Property first.

Then use the rules from Section 3.4 to solve.

3.5 Using the Distributive Property

Key SkillsSolve the equation:

3(x – 4) = 48

4(x + 1) = 16

3x – 12 = 48

4x + 4 = 16

3x – 12+ 12 = 48 + 12

4x + 4– 4 = 16 – 4

3x = 60

4x = 12

3

3

4

4

x = 20

x = 3

3.5 Using the Distributive Property

Key SkillsSolve the equation:

3y – 8 – y = 6

2(x + 5) = –16

2y – 8 = 6

2x + 10 = –16

2y – 8+ 8 = 6 + 8

2x + 10– 10 = –16 – 10

2y = 14

2x = –26

2

2

2

2

y = 7

x = –13

3.5 Using the Distributive Property

Solve the equation:

4x – 8(x + 1) = 8

4t + 7 – t = 19

4x – 8x – 8 = 8

3t + 7 = 19

–4x – 8 = 8

3t + 7– 7 = 19 – 7

–4x – 8 + 8 = 8 + 8

3t = 12

–4x = 16

3

3

–4

–4

t = 4

x = –4

3.5 Using the Distributive Property

Solve the equation, is the answer a solution?

2(x + 4) – 5 = 2x + 3

If all variables cancel, you must look at what’s left.

2x + 8 – 5 = 2x + 3

2x + 3 = 2x + 3

If what’s left is true, answer is all real numbers.

2x + 3 – 2x = 2x + 3 – 2x

3 = 3

If what’s left is not true, answer is no solution.

Does this make sense?

3.5 Using the Distributive Property

Solve the equation, is the answer a solution?

8x – 2(3x – 4) = 5x – 7.

8x + (–6x) + (8) = 5x – 7

2x + 8 = 5x – 7

2x + 8 – 2x = 5x – 7 – 2x

15 = 3x

8 = 3x – 7

3 3

5= x

7 + 8 = 3x – 7 + 7

-10

3.5 Using the Distributive Property

4x – 3(2x + 4) = 8x – 25

4x – 6x – 12 = 8x– 25

–2x – 12 = 8x – 25

–2x = 8x – 25 + 12

–2x = 8x – 13

–2x – 8x = 8x – 13 – 8x

–10x = –13

x = 1.3

-8

3.5 Using the Distributive Property

4x – 7(x + 6) = 5x – 2

4x – 7x – 42 = 5x– 2

–3x – 42 = 5x – 2

–3x = 5x – 2 + 42

–3x = 5x + 40

–3x – 5x = 5x – 5x + 40

–8x = 40

x = –5

8

3.5 Using the Distributive Property

5x – 2(3x + 7) = 7x + 12

5x – 6x – 14 = 7x + 12

–x – 14 = 7x + 12

–x – 14 – 12 = 7x + 12 – 12

–x – 26 = 7x

–x + x – 26 = 7x + x

–26 = 8x

–3.25 = x

Download Presentation

Connecting to Server..