Warm-Up Warm-Up I will be coming around checking your homework while you are working on your warm-up 1)2(-4 + k) = 24 2)37 = 4x – 6x + 13 3) ½(14x – 22)

Be in your seat when the bell rings with

your homework out

and have a piece of paper for the warm

up

#DuckDynasty

Warm-UpI will be coming around checking your

homework while you are working on your warm-up

1) 2(-4 + k) = 24

2) 37 = 4x – 6x + 13

3) ½(14x – 22) = -53

4) 18 = 14x - 3(4x + 2)

Variable on BOTH sides

of the equation

Golden Rule of Algebra

If you do something to one side of an equation…

You mustdo the SAME THING

to the other sideof the equation!!!

Example 1:

5x = 4x + 7

• Box out answer.x = 7

• Get all terms with variables on one side of the equation-4x-4x

1x = 7

Example 2:

6x = 4x + 8

• Get variable by itself.

• Box out answer.

x = 4

• Get all terms with variables on one side of the equation-4x-4x

2x = 82 2

Example 3:4x + 19 = 2x +

25

• Get variable by itself.

• Box out answer.

x = 3

• Get all terms with variables on one side of the equation and all numbers on the other side.

-2x-2x2x + 19 = 25

-19-192x = 62 2

What are our steps for solving for a variable?

HINT: three letters

1. SIMPLIFY(distribute/combine like terms)

2. ADD or SUBTRACT to isolate the term with the variable

3. MULTIPLY or DIVIDE to isolate the variable

SAM

On examples 1, 2, and 3 we got lucky and didn’t have to do

much work but we still were

using SAM to solve

Example 1:

5x = 4x + 7

• Box out answer.

x = 7

• Get all terms with variables on one side of the equation

-4x-4x1x = 7

SAM

Example 2:

6x = 4x + 8

• Get variable by itself.

• Box out answer.

x = 4

• Get all terms with variables on one side of the equation

-4x-4x2x = 82 2

SAM

Example 3:4x + 19 = 2x +

25

• Get variable by itself.

• Box out answer.

x = 3

• Get all terms with variables on one side of the equation and all numbers on the other side.

-2x-2x2x + 19 = 25

-19-192x = 62 2

SAM

Example 4:3x + 5x – 8 = 2(3x

+ 7)

• Box out answer.x = 11

-6x-6x

+8+82x = 222 2

3x + 5x8x – 8= 6x+ 14

2x – 8 = 14

SA

M

• Simplify each side of the equation (distribute and/or combine like terms)

• Get variable by itself.

• Get all terms with variables on one side of the equation and all numbers on the other side.

Example 5:

-6(x + 5) + 10x = 10x + 18 SA

M

Example 6:

3 – 4(3m + 1) = 6m + 53 SA

M