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8.1 Worksheet With Answer Key | PDF - Free Printable

8.1 Worksheet With Answer Key | PDF

Educational worksheet: 8.1 Worksheet With Answer Key | PDF. Download and print for classroom or home learning activities.

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It looks like you've uploaded a PDF file containing a worksheet titled "Adding and Subtracting Polynomials" from a Prentice Hall Algebra 1 textbook. However, the image is partially obscured by a "PDF" watermark, and some of the text is cut off or unclear.

I can help solve the problems if you provide:

1. The specific problem(s) you'd like solved (e.g., question numbers or full expressions).
2. Clarification on any parts that are hard to read.
3. Whether you want step-by-step solutions or just answers.

But based on what I can see in the visible portion of the worksheet, here’s an example of how to solve one of the types of problems likely included:

---

Example Problem:


Simplify:
\( (3x^2 + 2x - 5) + (x^2 - 4x + 7) \)

#### Step-by-Step Solution:

1. Remove parentheses (since it's addition):
\[
3x^2 + 2x - 5 + x^2 - 4x + 7
\]

2. Combine like terms:
- \(3x^2 + x^2 = 4x^2\)
- \(2x - 4x = -2x\)
- \(-5 + 7 = 2\)

3. Write the simplified polynomial:
\[
4x^2 - 2x + 2
\]

---

Another common type of problem is subtracting polynomials, for example:

Simplify:
\( (6x^2 - 3x + 8) - (2x^2 + x - 5) \)

#### Step-by-Step Solution:

1. Distribute the negative sign:
\[
6x^2 - 3x + 8 - 2x^2 - x + 5
\]

2. Combine like terms:
- \(6x^2 - 2x^2 = 4x^2\)
- \(-3x - x = -4x\)
- \(8 + 5 = 13\)

3. Final answer:
\[
4x^2 - 4x + 13
\]

---

If you can clarify which specific problems you need help with (e.g., #12, #20, or the word problem at the end), I can give detailed solutions.

Also, the last problem seems to be a word problem involving sandwiches sold over three weeks, where you’re asked to write a polynomial modeling total sales. If you provide the exact wording, I can help model that too.

Please let me know!
Parent Tip: Review the logic above to help your child master the concept of prentice hall algebra 1 worksheet.
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