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Copyright © Swun MathCopyright © Swun Math Grade 8 Unit 4 Lesson 6 P TE

Homework

Unit 4 · Lesson 6: Solve Equations:
Distributive Property

Objective: I will solve for a variable by using the distributive property.

Vocabulary Steps:

Collecting Like Terms:

Distributive Property

3(n + 4) + 4(n + 2)

3n + 12 + 4n + 8

7n + 20

Multiplying Integers:

 different signs = negative answer

 same sign = positive answer

3 × ─4 = ─ 12

3 groups of (─4) is ─ 12

The negative sign means :

flip to the opposite side of the number line

1. Identify the parts of the equation.


2. Simplify using the distributive property.


3. Collect like terms, if necessary.


4. Use inverse operation of
   addition/subtraction.
   
   
   • Move terms w/variables to one
     side.
   
   
   • Move constants to the other side.
   
   
   
   


5. Use inverse operation of
   multiplication/division.
   
   
   • Solve for the variable.
   
   
   
   


6. Check.

Example # 1 Example # 2

Directions: Solve and check.

− 2 (푥푥+ 4 )= 16

Solution: − 2 푥푥−8 = 16

+8 + 8

−2푥푥−2= −2^24

푥푥=− 12

Answer: 푥푥=− 12

Check: − 2 (− 12 + 4)= 16

− 2 ∙−8 = 16

16 = 16 ✓

14 − 2 (푥푥+ 3 )=− 22

Solution: 14 − 2 푥푥−6 =− 22

8 − 2 푥푥=− 22

− 8 − 8

−2푥푥−2= −30−2

푥푥= 15

Answer: x = 15

Check: 14 − 2 ( 15 + 3)=− 22

14 − 2 ( 18 )=− 22

14 − 36 =− 22

− 22 =− 22 ✓

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