Example 2: Solve the equation. 3 x + 4 x − 5 = 9 3x+4x-5=9 3 x + 4 x − 5 = 9 What does my new equation look like after combining like terms?

7 x − 5 = 9 7x-5=9 7 x − 5 = 9

34 x − 5 = 9 34x-5=9 3 4 x − 5 = 9

Example 3: 2 a − 5 a − 6 = 3 2a-5a-6=3 2 a − 5 a − 6 = 3 After combining like terms, my equation is...

− 3 a − 6 = 3 -3a-6=3 − 3 a − 6 = 3

− 7 a − 6 = 3 -7a-6=3 − 7 a − 6 = 3

3 a − 6 = 3 3a-6=3 3 a − 6 = 3

7 a − 6 = 3 7a-6=3 7 a − 6 = 3

Sample Algebra Lesson

Presentation

•

Mathematics

•

7th - 10th Grade

•

Practice Problem

•

Medium

•

CCSS

6.EE.B.7, 7.EE.B.4A, 8.EE.C.7B

Standards-aligned

Natalie Boyle

Used 8+ times

FREE Resource

5 Slides • 19 Questions

Sample Algebra Lesson: Solving Multi-step Equations Day 1

Natalie Boyle

Lesson Objectives:

Review inverse operations
Combine like terms to solve Multi step Equations
I can do it when... I can solve $7k+6-5k=0$

Fill in the Blanks

Review: solve for x.

$x-2=4$

Type answer...

Open Ended

How did you solve for x? (what did you do mathmatically to get x alone?)

$x-2=4$

Type response here

Fill in the Blanks

Review: solve for x.

$3x=9$

Type answer...

Open Ended

How did you solve for x? (what did you do mathmatically to get x alone?)

$3x=9$

Type response here

Summary: Inverse Operations

Inverse operations undo each other
addition and subtraction are inverse operations
multiplication and division are inverse operations
We use inverse operations to solve equations

Fill in the Blanks

Example 1:

Simplify.

$3p+4p-2p$

Type answer...

Open Ended

How did you simplify this expression?
$3p+4p-2p$

Type response here

Combining Like Terms

When we simplified $3p+4p-2p$ we added coefficients (the numbers in front of the variables).
We call this "combining like terms"
When solving multistep equations, our first step is to combine like terms.

Fill in the Blanks

Example 2:

Solve the equation.

3x+4x-5=9

Do I have any like terms? If so, what are they?

Type answer...

Multiple Choice

Example 2:

Solve the equation.

3x+4x-5=9

What does my new equation look like after combining like terms?

$34x-5=9$

$7x-5=9$

$2x=9$

Multiple Choice

Example 2:

After combining like terms, my equation is:

7x-5=9

Now we are going to use our inverse operations to isolate the variable (get x alone). The next step is...

add 5 to both sides

subtract 5 from both sides

divide both sides by 7

multiply both sides by 7

Multiple Choice

Example 2:

We needed to add 5 to both sides, so our new equation is

7x=14

Again, we are going to use our inverse operations to isolate the variable (get x alone). The next step is...

add 5 to both sides

subtract 5 from both sides

divide both sides by 7

multiply both sides by 7

Fill in the Blanks

Example 2:

7x=14

Solve for x.

Type answer...

Multiple Choice

Example 3:

2a-5a-6=3

After combining like terms, my equation is...

$-7a-6=3$

$-3a-6=3$

$3a-6=3$

$7a-6=3$

Fill in the Blanks

Example 3:

After combining like terms, our new equation is...

-3a-6=3

Solve for a (use your inverse operations to isolate the variable).

Type answer...

Fill in the Blanks

Example 4:

6y-3+8=17

Do I have any like terms? If so, what are they?

Type answer...

Multiple Choice

Example 4:

6y-3+8=17

My like terms are -3 and 8. After combining like terms, my new equation is...

$6y+5=17$

$6y-5=17$

$6y-11=17$

Fill in the Blanks

Example 4:

My new equation is

6y+5=17

Solve the equation (isolate the variable).

Type answer...

Fill in the Blanks

Example 5: Your turn!

Solve the equation:
$5+4n-6n=13$

Type answer...

Fill in the Blanks

Example 6: Your turn!

Solve the equation:
$7k+6-5k=0$

Type answer...

Fill in the Blanks

Example 7 *challenge problem*:

Solve the equation

$2x+5x-3+6+5=15$

Type answer...

You may begin your independent practice.

Sample Algebra Lesson: Solving Multi-step Equations Day 1

Natalie Boyle

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