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solve linear equations in one variable, including those

for which the application of the distributive property is

necessary and for which variables are included on both

sides

for which the application of the distributive property is

necessary and for which variables are included on both

sides

1.

2.
A.5A Pt. 2

solve linear equations in one variable, including those

for which the application of the distributive property is

necessary and for which variables are included on both

sides

solve linear equations in one variable, including those

for which the application of the distributive property is

necessary and for which variables are included on both

sides

3.

4.
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medical offices, schools, etc!

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Practitioner

• Do you like taking care of They keep

people

people? If you do, then you healthy and

could become a Nurse strong!

Practitioner.

• Nurse Practitioners are like Need a

doctors. They help people Master’s

when they are sick or want a Degree

check-up.

Make

• They work at hospitals,

$117,670

medical offices, schools, etc!

per year

5.
Warm-Up: Solve for x

6.
Warm-Up: Solve for x

1) 3.5

2) 3.2

3) 2.5

1) 3.5

2) 3.2

3) 2.5

7.
Distributive Property

The distributive property tells us how to solve

expressions in the form of a(b + c).

Ex: a(b+c) = (a x b) + (a x c)

You distribute the number outside the parentheses

to those inside.

Make sure to apply the outside number to all of the

terms inside the parentheses

The distributive property tells us how to solve

expressions in the form of a(b + c).

Ex: a(b+c) = (a x b) + (a x c)

You distribute the number outside the parentheses

to those inside.

Make sure to apply the outside number to all of the

terms inside the parentheses

8.
Combining Like Terms

What are we distributing to the parentheses?

So, let’s rewrite it

There are three terms we can combine

6,-5, & 7

What are we distributing to the parentheses?

So, let’s rewrite it

There are three terms we can combine

6,-5, & 7

9.
Combining Like Terms

1)Distribute

-5(x + 3) + 2x 2)Combine like terms

1)Distribute

-5(x + 3) + 2x 2)Combine like terms

10.
Solve for x

1) 4(8+x)=40

x=

2) 5(x+2)=55

x=

3) 2(2x+6)=24

x=

1) 4(8+x)=40

x=

2) 5(x+2)=55

x=

3) 2(2x+6)=24

x=

11.
Solve for x

1) 4(8+x)=40

x=2

2) 5(x+2)=55

x=9

3) 2(2x+6)=24

x=3

1) 4(8+x)=40

x=2

2) 5(x+2)=55

x=9

3) 2(2x+6)=24

x=3

12.
I do

4 = 4(2x + 8) + 6x

Plug in answer

4 = 8x + 32 + 6x

4 = 4(2(-2) + 8) + 6(-2)

4= 14x + 32

4 = 4(-4 + 8) -12

-28 = 14x

4= -16+32-12

-2 = x

4 = 16 – 12

4=4

4 = 4(2x + 8) + 6x

Plug in answer

4 = 8x + 32 + 6x

4 = 4(2(-2) + 8) + 6(-2)

4= 14x + 32

4 = 4(-4 + 8) -12

-28 = 14x

4= -16+32-12

-2 = x

4 = 16 – 12

4=4

13.
I do

15 = -3(4x + 5) + 13x Plug in answer

15 = -12x-15+13x 15 = -3(4(30) + 5) + 13(30)

15 = x-15 15 = -3(120+5) + 390

30 = x 15 = -3(125) +390

15 = -375 + 390

15 = 15

15 = -3(4x + 5) + 13x Plug in answer

15 = -12x-15+13x 15 = -3(4(30) + 5) + 13(30)

15 = x-15 15 = -3(120+5) + 390

30 = x 15 = -3(125) +390

15 = -375 + 390

15 = 15

14.
We do #1

What is the solution to 8x-3(2x-4) = 3(x-6)?

D.No solution

What is the solution to 8x-3(2x-4) = 3(x-6)?

D.No solution

15.
We do #1

What is the solution to 8x-3(2x-4) = 3(x-6)?

D.No solution

What is the solution to 8x-3(2x-4) = 3(x-6)?

D.No solution

16.
We do #2

-2(3x + 4) + 7x = -10

-2(3x + 4) + 7x = -10

17.
We do #2

-2(3x + 4) + 7x = -10

Answer: -2

-2(3x + 4) + 7x = -10

Answer: -2

18.
We do #3

What is the solution to 4(y − 3) + 19 = 8(2y + 3) + 7?

What is the solution to 4(y − 3) + 19 = 8(2y + 3) + 7?

19.
We do #3

What is the solution to 4(y − 3) + 19 = 8(2y + 3) + 7?

Answer: -2

What is the solution to 4(y − 3) + 19 = 8(2y + 3) + 7?

Answer: -2

20.
You do #1

What value of x makes the equation

-5x - (-7 - 4x) = -2(3x - 4) true?

What value of x makes the equation

-5x - (-7 - 4x) = -2(3x - 4) true?

21.
You do #1

What value of x makes the equation -5x - (-7 - 4x) = -2(3x - 4) true?

What value of x makes the equation -5x - (-7 - 4x) = -2(3x - 4) true?

22.
You do #2

What is the solution to 0.3(12x - 16) = 0.4(12 - 3x)?

A. -2

B. 4

C. 2

D. -4

What is the solution to 0.3(12x - 16) = 0.4(12 - 3x)?

A. -2

B. 4

C. 2

D. -4

23.
You do #2

What is the solution to 0.3(12x 16) = 0.4(12 3x)?

A. -2

B. 4

C. 2

D. -4

What is the solution to 0.3(12x 16) = 0.4(12 3x)?

A. -2

B. 4

C. 2

D. -4

24.
Distributive Property

The distributive property tells us how to solve

expressions in the form of a(b + c).

Ex: a(b+c) = (a x b) + (a x c)

You distribute the number outside the parentheses

to those inside.

Make sure to apply the outside number to all of the

terms inside the parentheses

The distributive property tells us how to solve

expressions in the form of a(b + c).

Ex: a(b+c) = (a x b) + (a x c)

You distribute the number outside the parentheses

to those inside.

Make sure to apply the outside number to all of the

terms inside the parentheses

25.
If Time Allows #1

5x + 6 = 54 - 3x

5x + 6 = 54 - 3x

26.
If Time Allows

5x + 6 = 54 - 3x

Answer: 6

5x + 6 = 54 - 3x

Answer: 6

27.
If Time Allows #2

11x + 5 = 31 - 2x

11x + 5 = 31 - 2x

28.
If Time Allows

11x + 5 = 31 - 2x

Answer: 2

11x + 5 = 31 - 2x

Answer: 2

29.

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