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