Equation InvasionEquation Invasion
Objective: I can create and solve one-step
equations using inverse operation.
Objective: I can create and solve one-step
equations using inverse operation.
What’s the Big Idea? •What is an equation? How can I
use the inverse operation to solve an equation?
•What is a variable? How do I solve for the unknown quantity?
What is Missing?
+ ? =
+? =
13 + ? = 25
What is an Equation? ...It is like a
puzzle, and
YOU are trying to
find the missing piece!!
...It is like a puzzle, and
YOU are trying to
find the missing piece!!
This is what an Equation Looks
Like...
14 + x = 23This is the
variable, or the unknown amount.
An equation always has an equal
sign.
Before we go on...
We need to know about...
Before we go on...Before we go on...
INVERSE OPERATIONS!!!
Before we go on...Before we go on...
INVERSE (OPPOSITE) OPERATIONS!!!
What is the opposite of addition?
What is the opposite of multiplication?
What is the opposite of subtraction?
What is the opposite of division?
Also...You NEED to know
Before we go on...Before we go on...
15 + x = 43
If there is no sign in front of a number, it is POSITIVE, which means it is hidden
addition.
+
One MORE thing...
Before we go on...Before we go on...
12x = 132
If there is a number RIGHT NEXT TO a variable, it means MULTIPLICATION!
Alright, I Think You’re Ready for
the Steps...
Before we go on...Before we go on...
Step 1: Isolate the variable, use the
INVERSE OPERATION to get the variable by
itself!
x - 12 = 32Hmmm...here I
have a MINUS 12, what is the
opposite of a minus?
Alright, I Think You’re Ready for
the Steps...
Before we go on...Before we go on...
Step 1: Isolate the variable, use the
INVERSE OPERATION to get the variable by
itself!
x - 12 = 32
A PLUS 12!!!
Alright, I Think You’re Ready for
the Steps...
Before we go on...Before we go on...
Step 2: Whatever I do to one side, I have to do to
the other! x - 12 = 32
A PLUS 12!!!
+ 12+ 12
Alright, I Think You’re Ready for
the Steps...
Before we go on...Before we go on...
Step 3: Cancel out and re-write the variable. x - 12 = 32
A negative + a positive cancels each other out
+ 12+ 12
44x =
Alright, I Think You’re Ready for
the Steps...
Before we go on...Before we go on...
Step 4: CHECK your work by plugging the answer back into the
original equation!- 12 = 32
Yes, yes, yes...I must check my
work!!44
x
x =
Let’s try one more together...
Step 1: Isolate the variable, use the INVERSE
OPERATION to get the variable by itself!
Step 2: Whatever I do to one side, I have to do to
the other!
Step 3: Cancel out and re-write the variable.
Step 4: CHECK your work by plugging the answer back into the original
equation!
16 + x = 72
Please take out your slates
Step 1: Isolate the variable, use the INVERSE
OPERATION to get the variable by itself!
Step 2: Whatever I do to one side, I have to do to
the other!
Step 3: Cancel out and re-write the variable.
Step 4: CHECK your work by plugging the answer back into the original
equation!
6x = 24
Solve for x...
x - 17 = 54
14 + z = 56
y ÷ 4 = 12