**Warmup**

**Find a solution to each equation mentally.**

**Activity #1**

Solve Linear Equations.

You are going to solve two-steps linear equations in the applet below. There are 4 difficulty levels here (see slider at bottom.) Just follow the instructions below and do as many problem as time allows you.

**Activity #2**

Exploring Equal and Equivalent Expressions.

You are going to solve two-steps linear equations in the applet below. Just follow the instructions below and do as many problem as time allows you.

- Read the problem.
- Solve the problem on a sheet of paper or your notebook.
- Enter your answer in the yellow input box, and press the Enter key on your keyboard. If your answer is correct, you’ll see a confirmation.
- Then, click .
- If your answer isn’t correct, then it is recommended that you give it another try before you click on .

**Activity #3**

`Draw Diagrams to Represent Expressions.`

In this activity, you are going to use geometric tools to draw diagrams of mathematics expressions. See the example below.

Here is a diagram of* x *+ 2 and 3*x* , when *x =* 4. Notice that the unknown, *x*, are lined up on their left.

- Follow the example above to do the problems below.

**Using the Pen and Text tools**, draw a diagram of x+2, and a separate diagram of 3x, when x is 3.

Draw a diagram of x+2, and a separate diagram of 3x, when x is 2.

Draw a diagram of x+2, and a separate diagram of 3x, when x is 1

Draw a diagram of x+2, and a separate diagram of 3x, when x is 0.

**Challenge #1**

When are ** x** + 2 and 3

**Challenge #2**

Here is a list of expressions. Find any pairs of expressions that are equivalent. If you get stuck, try reasoning with diagrams.

**Challenge #3**

Below are four questions about equivalent expressions. For each one:

- Decide whether you think the expressions are equivalent.
- Test your guess by choosing numbers for (and if needed).

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