Which of the answers below have the same solution as the equation below?

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**Compare Steps in Solving Equations.**

Study the steps used by the following students to solve an equation and answer the questions that follow.

(1). Are both of their *solutions* correct?

(2). Explain your reasoning.

(3). Describe some ways the steps they took are alike.

(4). Describe some ways the steps they took are different.

Mai and Noah also solved the equation, but some of their steps have errors.

(5). Find the incorrect step in each solution and explain why it is incorrect.

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**Describing the Steps Used in a Mathematical Solution.**

Describe what is being done in each step while solving the equation.

Starting equation: 2(-3+ 4) = 5 + 2

(1). **Step 1:** -6 + 8 = 5 + 2

(2). **Step 2:** 8 = 11 + 2

(3). **Step 2:** 6 = 11

(4). **Step 2:** =

Choose the equation that has solutions** (5, 7) **and **(8, 13)**.

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**Which Steps Give the Correct Answer?**

(2). Explain your reasoning.

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Solve the equation below for.

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I have 24 pencils and 3 cups. The cups are labeled **A**, **B**, and **C**. Cup **B** holds one more pencil than cup **A**. Cup **C** holds one more than cup **B**.

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Andre solved an equation, but when he checked his answer he saw his solution was incorrect. He knows he made a mistake, but he can’t find it.

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