**3.1: Find Equivalent Expressions**

Select all the expressions that are equivalent to 7(2 - 3n) . Explain how you know each expression you select is equivalent.

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Explain how you know each expression you select is equivalent.

**3.2: Matching Equations to Tape Diagrams**

**1. Match each equation to one of the tape diagrams. Be prepared to explain how the equation matches the diagram. **

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2x + 5 = 19 matches with which tape diagram?

**3.2: Matching Equations to Tape Diagrams**

**1. Match each equation to one of the tape diagrams. Be prepared to explain how the equation matches the diagram.**

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2 + 5x = 19 matches with which tape diagram?

**3.2: Matching Equations to Tape Diagrams**

**1. Match each equation to one of the tape diagrams. Be prepared to explain how the equation matches the diagram.**

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2(x + 5) = 19 matches with which tape diagram?

**3.2: Matching Equations to Tape Diagrams**

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5(x + 2) = 19 matches with which tape diagram?

**3.2: Matching Equations to Tape Diagrams**

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19 = 5 + 2x matches with which tape diagram?

**3.2: Matching Equations to Tape Diagrams**

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(x + 5) 2 = 19 matches with which tape diagram?

**3.2: Matching Equations to Tape Diagrams**

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19 = (x + 2) 5 matches with which tape diagram?

**3.2: Matching Equations to Tape Diagrams**

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19 2 = x + 5 matches with which tape diagram?

**3.2: Matching Equations to Tape Diagrams**

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19 - 2 = 5x matches with which tape diagram?

**2. Sort the equations into categories of your choosing. Explain the criteria for each category.**

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**3.3: Drawing Tape Diagrams to Represent Equations**

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**Draw a tape diagram to match each equation.**

**Upload a picture of your tape diagrams using the "insert image" icon . If you can't upload an image, describe in detail what your tape diagrams look like.**

Use any method to find values for x and y that make the equations true.

**Enter your answers in the format (x,y) with no spaces. **

**Are you ready for more?**

To make a Koch snowflake: Start with an equilateral triangle that has side lengths of 1. This is step 1.

Replace the middle third of each line segment with a small equilateral triangle with the middle third of the segment forming the base. This is step 2.

Do the same to each of the line segments. This is step 3.

Keep repeating this process.

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What is the perimeter after step 2?

**Don't use labels (units) in your answer.**

What is the perimeter after step 3?

**Don't use labels (units) in your answer. This answer should be an improper fraction with the larger number on top.**

What happens to the perimeter, or the length of line traced along the outside of the figure, as the process continues?