Essential Question: To isolate the variable, you must undo operations on both sides… What is the correct order of undoing operations?

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SOLVING EQUATIONS WITH PERFECT SQUARES

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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... 1 st 2 nd 3 rd Undo + or – operation.

Undo x or ÷ operation.

Undo exponents.

Opposite of + is – Opposite of x is ÷ Opposite of x 2 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 D) x/3 = 8 E) x 2 = 25 4 is being multiplied to variable… Do opposite to both sides.

Variable is being divided by 3… Do opposite to both sides.

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?

1 st 2 nd 3 rd Undo + or – signs.

Undo x or ÷ signs.

Undo exponents.

A) 3x + 7 = 19 B) x 2 + 11 = 47 C) x/2 – 11 = 3 * D) 5x 2 – 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

x 2 = 100 x 2 + 12 = 48 3x 2 – 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.