Solving Multi-Step Equations Guided Practice

Solving Multi-Step Equations

Let's practice what we've learned so far!

Multiple Choice

What is the first step in solving the equation 2a - 4(a - 5) = 10

• Add 4 to both sides
• Add the 2a and a 
• Distribute 4 to a and -5
• Distribute -4 to a and -5

Multiple Choice

Find the solution:

10 = 4x - 2

• x = 3

• x = 2

• x = -3

• x = -2

Multiple Choice

Solve:

3(3x - 6) = 18

• x = 4

• x = -4

• no solution

• infinite solutions

Poll

On scale of 1-3,

1 - "I need more practice!"

2 - "It's getting easier!"

3- "Easy Peasy Lemon Squeezy!"

How did you feel when solving the questions on slides 3,4 and 5?

• 1 - I need more practice!

• 2 - It's getting easier!

• 3 - Easy Peasy Lemon Squeezy!

Nothing to distribute? No problem! Combine like terms first!

This video is going to help you to solve the next two slides!

Multiple Choice

3a + 9 + 4a = 2

• -1
• 1
• no solution
• -7

Multiple Choice

-15 = 5a +12- 2a + 6

• -11

• -3

• 10

• 7

Poll

How did you feel when solving the questions on slides 8 and 9?

Distribute, then combine any like terms on the same side!

This video will help with slides 11 and 12. Notice how they are distributing a negative!!!

Multiple Choice

3x + 2(4x - 4) = 3

• 4

• 3

• 2

• 1

Multiple Choice

6x + 3(-x + 11) = 3

• -10
• 10
• 15
• -15

Poll

How did slides 12 and 13 go?

• I got this!

• It is starting to get a little easier.

• I am starting to get a little bit confused.

• You've lost me...send help!

What if there are variable on both ides of the equal sign?

Here is a video to help with slide 14.

Multiple Choice

2 + 14a = -8 + 9a

• -2
• 3
• 5
• -10

Finally, let's put it all together!

• Distribute.

• Combine like terms on the same side.

• Get all of your variables on one side and your constants on the other.

• Undo any addition or subtraction.

• Undo any multiplication or division.

• State your solution!

Multiple Choice

Solve the equation:
3(x - 1) = 2x + 9

• x = 12
• no solution
• x = 10
• x = 6

Multiple Choice

Solve the equation:
3x - x + 4 = 4(2x +1)

• no solution
• infinite solutions
• x = 6
• x = 0

Open Ended

If you had to take a test on this right now, what grade do you think you would get?