Essential Question: To isolate the variable, you must undo operations on
both sides… What is the correct order of undoing operations?
SOLVING
EQUATIONS WITH
PERFECT
2
SQUARES
Essential Question: To isolate the variable, you must undo operations on
both sides… What is the correct order of undoing operations?
VOCABULARY
EQUATION:
A written statement indicating the equality of two expressions.
It consists of a sequence of symbols that is split into left and
right sides joined by an equal sign.
ISOLATING THE VARIABLE:
Using inverse operations to undo addition, subtraction,
multiplication, and division to get the variable alone.
Essential Question: To isolate the variable, you must undo operations on
both sides… What is the correct order of undoing operations?
Rules for Solving Equations
Rule 1 – What you do to one side, must be done
to the other side as well. SHOW WORK!
Rule 2 - You must use INVERSE (opposite)
operations to get the variable alone.
Rule 3 - You must “INVERSE” in the right order.
Essential Question: To isolate the variable, you must undo operations on
both sides… What is the correct order of undoing operations?
How to “INVERSE” correctly
You will isolate the variable by doing the opposite
operation on both sides of the equal sign in this order...
1st
Undo + or – operation.
Opposite of + is –
2nd
Undo x or ÷ operation.
Opposite of x is ÷
3rd
Undo exponents.
Opposite of x2 is to
find the root.
WHAT YOU DO TO ONE SIDE, MUST BE DONE TO BOTH SIDES.
Essential Question: To isolate the variable, you must undo operations on
both sides… What is the correct order of undoing operations?
1 Step Equations – Squiggly Line
A) x + 7 = 18
7 is being added to variable… Do opposite
to both sides.
B) x – 11 = 23
11 is being subtracted from variable… Do
opposite to both sides.
C) 4x = 20
4 is being multiplied to variable… Do
opposite to both sides.
D) x/3 = 8
Variable is being divided by 3… Do
opposite to both sides.
E) x2 = 25
Variable is being squared… Do opposite to
both sides.
Essential Question: To isolate the variable, you must undo operations on
both sides… What is the correct order of undoing operations?
Commercial Break


Quote of the Day:
“Great people
can see farther
with their mind
than they can
see with their
eyes.”
Essential Question: To isolate the variable, you must undo operations on
both sides… What is the correct order of undoing operations?
2&3 Step Equations – Remember this?
1st
Undo + or – signs.
2nd
Undo x or ÷ signs.
3rd
Undo exponents.
A) 3x + 7 = 19
B) x2 + 11 = 47
C) x/2 – 11 = 3
* D) 5x2 – 30 = 15
Essential Question: To isolate the variable, you must undo operations on
both sides… What is the correct order of undoing operations?
THINK / PAIR / SHARE

Step 1 – Spend 20 seconds thinking silently about the
Essential Question.

Step 2 – Spend 30 seconds pairing up with your learning
partner.

Step 3 – Volunteer to share your answer with the class…
Volunteers will receive a Goodybuck.
Essential Question: To isolate the variable, you must undo operations on
both sides… What is the correct order of undoing operations?
iPAD EXIT TICKET
x2 = 100
x2 + 12 = 48
3x2 – 4 = 71
Essential Question: To isolate the variable, you must undo operations on
both sides… What is the correct order of undoing operations?
GIST:
Then write 3-4 sentences to answer the GIST Summary E.Q.
Essential Question: To isolate the variable, you must undo operations on
both sides… What is the correct order of undoing operations?
Assignment –Shoot For The Stars
30 seconds

I got this! I know how to do this AND I could
even teach it to somebody else.

I think I know this, but I need more practice.

I am clueless! I have no idea what to do.