Unit 4. Day 2.

Example A: Use the Distributive Property

3 (𝑥+8)

3 𝑥+¿24

Example B: Use the Distributive Property

6 (𝑦−7)

6 𝑦+¿−42

Use the Distributive Property

5(𝑚−9)Example C*:

Example D*: −4 (3 𝑥+7 )

Example C*: Use the Distributive Property

5(𝑚−9)

5𝑚+¿−45

Example D*: Use the Distributive Property

−4 (3 𝑥+7 )

−12 𝑥 +¿−28

Example E: Use the Distributive Property

−(5−3𝑚)

−5+¿+3𝑚1

5(𝑥+3)−7 𝑥+2

5 𝑥−7 𝑥+2

−2 𝑥+17

Example F: Simplify

+15

Example G*:

Simplify

Example H*:

− ( 8−3𝑛)+9+𝑛

Example G*:

1

−8+3𝑛

+9+𝑛

1 +4𝑛4𝑛1

+¿

Example H*:

6 1

−8+3𝑛

+9+𝑛

7 +4𝑛

So far all the previous examples were from 6th grade. CCSS.MATH.CONTENT.6.EE.A.3Apply the properties of operations to generate equivalent expressions. For example, apply the distributive property to the expression 3 (2 + x) to produce the equivalent expression 6 + 3x

7th Grade:CCSS.MATH.CONTENT.7.EE.B.4.ASolve word problems leading to equations of the form px + q = r and p(x + q) = r, where p, q, and r are specific rational numbers.

 p(x + q) = r

 23

34− 4

5

23 (𝑥− 1

2 )+5

23 𝑥

+5

23 𝑥

+143

Example I: Simplify

−26

− 26 +5

− 26 +5

− 13

+51

−❑3

+❑3

1 15

14 ( 3

5𝑦− 1

3 )− (2 𝑦+4 )

320 𝑦

− 3720 𝑥− 49

12

Example J*: Simplify

− 112

320 𝑦

320 −2

320 −

21

❑20− ❑

203 40

1

−2 𝑦 −4− 112

− 112 −4

− 112 −

41

−❑12−❑

121 48

−2 𝑦−4

3 (𝑥+5)

Distributive Property

3 (𝑥+5)

3 (+5)

2 4

3 𝑥+¿ 15

3

3 ()8∙ 3 ()+15

3

9 +1524

∙()

4(−3𝑟 −11)

Distributive Property

4(−3𝑟 −11)4(−3−11)

−17

−12𝑟 −44

2

4(−11)−6∙

−12()−44

2

−24 −44−68

∙()

4()∙

−68