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# Section 3.5 - PowerPoint PPT Presentation

Section 3.5. 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 Skills. Solve the equation:. 3( x – 4) = 48. 4( x + 1) = 16. 3 x – 12 = 48. 4 x + 4 = 16.

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

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Presentation Transcript

You must use the Distributive Property first.

Then use the rules from Section 3.4 to solve.

Key Skills

Solve 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

Key Skills

Solve 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

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

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?

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

Section 3.5

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