Absolute Value Equations Color by Number - Free Printable

It looks like you've uploaded a "Color by Number" activity titled "Graphing Absolute Value Equations" from Fun Arithmetic, designed for Algebra 2 students. However, the image itself shows only the colored result of the activity — a beautiful, symmetrical mandala-like design with numbers inside various regions — but does not include the actual equations or coloring key.

To help you solve this problem, I’ll walk through how such an activity typically works and what you’d need to do to complete it. Since the image is just the final colored version, I can't see the original equations or the color-number key, but here's how you'd approach it:

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🔍 How "Color by Number: Graphing Absolute Value Equations" Works

1. Objective:
Students graph absolute value equations on a coordinate plane. Each equation produces a V-shaped graph.

2. Each region in the design has a number (like 1, 2, 3, etc.).
These numbers correspond to answers from solving or graphing specific absolute value equations.

3. Color Key:
A legend (not visible in your image) would map each number to a color:
- Example:
- 1 → Purple
- 2 → Blue
- 3 → Green
- etc.

4. Process:
- Students solve or graph given absolute value equations.
- The solution (e.g., vertex, slope, x-intercept, or y-value at a point) determines which number to assign to a region.
- Then they color that region according to the key.

5. Result:
When all regions are correctly colored, a vibrant pattern (like the one shown) emerges.

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🎨 Example Problem (Hypothetical)

Suppose one of the problems is:

> Graph: $ y = |x - 2| + 1 $

- The vertex is at (2, 1).
- If the question asks: *"What is the y-coordinate of the vertex?"*, the answer is 1.
- So, the student colors any region labeled 1 with the assigned color (e.g., purple).

Another example:

> Graph: $ y = -2|x + 3| $

- Vertex: (-3, 0)
- If asked: *"What is the x-coordinate of the vertex?"* → Answer: -3, but since the labels are positive integers, maybe it's asking for the *absolute value* or a transformed value.

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✔ Steps to Solve This Activity (If You Had the Worksheet)

1. Obtain the full worksheet — it should include:
- A list of absolute value equations.
- Instructions (e.g., “Find the vertex”, “Find the y-intercept”, “Solve for x when y=0”).
- A color key mapping numbers to colors.

2. Graph each equation or find the required value.

3. Match the answer to the number in the design.

4. Color the corresponding section.

5. Reveal the hidden picture (in this case, a colorful, symmetric flower/mosaic).

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💡 Why It’s Educational

- Reinforces understanding of absolute value functions.
- Practices graphing, transformations (shifts, stretches), and solving equations.
- Makes learning fun via art!

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❓ What Can I Do Now?

Since you only shared the completed image, I cannot provide the exact equations or color code unless you also upload the original worksheet (the one with the problems and instructions).

But if you want, I can:

- Generate a sample "Color by Number" worksheet using absolute value equations.
- Help you create your own based on this design.
- Explain how to graph any absolute value equation.

Let me know what you'd like! 😊