Can you figure out what x is?

1. 2x + 1 = 5

2. 3x - 5 = 4

Can you figure out how to use the vertical line method for these problems?

Use the vertical line method to solve for x.

1. 3x + 5 = 17

2. 2x - 1 = 7

3. x/3 + 2 = 4

I can solve two-step equations.

we are really good at one-step equations. So, let's take one more step!

Can we solve all equations by following a set of steps and rules in the exact same way?

How do we solve basic Two-Step Equations?

1. We use the vertical line method!

2. We first undo the CONSTANT.

3. Then, we undo the COEFFICIENT.

Let's do some examples:

Does it help you most to watch me carefully, or to write these down along with me?

1. 2x + 5 = 11

2. 3x - 4 = 14

3. x/2 + 3 = 8

4. x/4 - 7 = 3

5. -5 + x/3 = 2

Let's practice with a partner today!

With a partner, try the following problems. As you work, take turns switching between the following roles:

• Scribe - this partner is writing down each step using the vertical line method

• Narrator - this partner is explaining out loud what is happening in each step and why

  • "Next, we will divide both sides by 6 because division is the opposite of multiplication."

  • "The first step is to draw a vertical line through the equals sign to separate the two halves of the equation."

Problems:

1. 2x + 3 = 9 3. 5v - 2 = 8

2. 3y - 3 = 9 4. z/3 + 2 = 5

Complete these problems for a 3

Challenge Work for a 4

Complete these additional practice equations for one point per page (up to 10 points available!)

what is the difference between solving one-step and two-step equations? What is the same?