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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
