**Warmup**

How fast can you solve one-step equations? Beat the record here on 10 questions!

**Activity #1**

Solve Equations Using Diagrams.

Clare drew this diagram to match the equation 2*x* + 16 = 50, but she got the wrong solution as a result of using this diagram.

- Study the diagram and then answer the following questions.

(a.) What value for ** x** can be found using the diagram?

(b.) Show how to fix Clareâ€™s diagram to correctly match the equation.

(c.) Use the new diagram to find a correct value for ** x**.

(d.) Explain the mistake Clare made when she drew her diagram.

**Activity #2**

Solve Equations Using Diagrams.

Here is a balanced hanger. Each piece is labeled with its weight.

- Study the system and answer the questions that follow.

(a.) Assign one of these equations to the hanger:

(b.) Explain how to figure out the weight of a piece labeled with a letter by reasoning about the diagram.

Here is a balanced hanger. Each piece is labeled with its weight.

(a.) Assign one of these equations to the hanger:

(b.) Explain how to figure out the weight of a piece labeled with a letter by reasoning about the diagram.

In this balanced system of hangers, each piece is labeled with its weight.

(a.) Assign one of these equations to the hanger:

(b.) Explain how to figure out the weight of a piece labeled with a letter by reasoning about the diagram.

**Activity #3**

Match Equations to the Solution Step.

- Match each equation below to a step that will help to find the value of .

**Challenge #1**

Explain how each part of the equation 9 = 3(+ 2) is represented in the hanger below.

(i.)

(ii.) 9

(iii.) 3

(iv.) + 2

(vi.) 3(+ 2)

(vi.) The equation sign.

**Challenge #2**

Here below is a hanger.

(1.) Write an equation to represent the hanger.

(2.) Solve the equation by reasoning about the equation or the hanger. Explain your reasoning.

**Challenge #3**

Select the word from the following list that best describes each situation.

**Quiz Time**

https://www.ixl.com/math/grade-7/identify-equivalent-linear-expressions-using-algebra-tiles

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