4.3 Solving Two Step Equations

Presentation

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Mathematics

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7th Grade

•

Practice Problem

•

Medium

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CCSS

7.EE.B.4A, 6.EE.B.7, HSA.REI.A.1

Standards-aligned

Lisa Vargas

Used 44+ times

FREE Resource

13 Slides • 16 Questions

4.3 Solving Two Step Equations

Are you ready?

Review: One Step Equations

Multiple Choice

What is the goal of one-step equations?

To do the opposite of everything

To get the variable by itself

To move all the terms to one side of the equation

Multiple Choice

How would you solve this equation:

15\ =\ x\ +\ 8

Subtract 15 from both sides

Add 8 to both sides

Subtract 8 from both sides

Add 15 to both sides

Multiple Choice

Why do we do the inverse operation to "both sides"?

Because my teacher told me to

To create more work

To keep the equation balanced

Fill in the Blanks

Type answer...

Fill in the Blanks

Type answer...

Multiple Choice

What operation secretly exists in this term?

-3g

Addition

Subtraction

Multiplication

Division

Multiple Choice

How would I solve:

-9w\ =\ 12

Add 9 to both sides

Divide both sides by -9

Divide both sides by 9

Multiply both sides by 12

Open Ended

Hmm....how would you solve an equation that looked like this?

2x+1=7

Type response here

Welcome to Two Step Equations

Goal: ISOLATE THAT VARIABLE

Multiple Choice

What is our goal for two step equations?

Isolate the variable

Combine like terms

Get an answer

How to Solve ANY Two-Step Equation

1. What operation do you see?
2. How can you "undo" it?
3. Repeat until variable has been isolated

Multiple Select

Let's go back to our first equation:

2x+1=7

What operations do you see in this equation? Select ALL that apply.

Addition

Subtraction

Multiplication

Division

2x + 1 = 7

This equation has ADDITION + MULTIPLICATION in it.

We must undo each of these operations to get X by itself.

Which one do we start with?

ADDITION!

You always want to UNDO any ADDITION or SUBTRACTION FIRST

Multiple Select

You got that? What operations should we always undo FIRST?

Addition

Subtraction

Multiplication

Division

Multiple Choice

So what would the first step be when solving:

2x+1=7

Subtract 2x from both sides

Subtract 7 from both sides

Subtract 1 from both sides

Divide both sides by 2

Let's do it

$2x+1=7$
-1 -1
2x = 6

Multiple Choice

Now what? We have

2x=6

left over.

Divide both sides by 2

Multiply both sides by 2

Last step!

$\frac{2x}{2}=\frac{6}{2}$

$x=3$

Think of 2-Step Equations like a bad Love Triangle

First, get rid of the "third wheel". And then separate the couple.

Let's try to solve:

6x + 8 = 50

Fill this in on your note sheet!

Let's try to solve:

2x - 5 = 11

Fill this in on your note sheet!

Fill in the Blanks

Type answer...

Hmm what about...

7-3x=34

Fill this in on your note sheet!

Hmm what about...

\frac{x}{2}-7=9

Fill this in on your note sheet!

Fill in the Blanks

Type answer...

Poll

How do you feel about solving two-step equations?

1 - Not doing well AT ALL

2 - Mind blown, but I can do this.

3 - Ehh, I need to practice

4 - It makes sense! I can do this on my own.

5 - Easy! I could help others solve these equations!

4.3 Solving Two Step Equations

Are you ready?

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