Top 17 Pre-Algebra Worksheets: Free and Printable! - Free Printable

It looks like you've uploaded a screenshot of a Pre-Algebra worksheet from WorksheetWorks.com, which includes several types of problems: basic operations with negatives, verbal expressions, simplifying expressions, and verbal equations. Let's go through each section and solve or explain the problems.

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🔹 1. Basic Operations With Negatives

These are straightforward arithmetic problems involving negative numbers.

#### Problem 1:
> $ 9 + (-6) = ? $

Solution:
Adding a negative is the same as subtracting:
$$
9 + (-6) = 9 - 6 = 3
$$
✔ Answer: 3 (Correct)

#### Problem 2:
> $ 2 \times (-8) = ? $

Solution:
Multiplying a positive by a negative gives a negative:
$$
2 \times (-8) = -16
$$
✔ Answer: -16 (Correct)

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🔹 2. Verbal Expressions

These translate words into algebraic expressions.

#### Problem 1:
> "y decreased by 44"

Solution:
"Decreased by" means subtraction:
$$
y - 44
$$
✔ Answer: $ y - 44 $ (Correct)

#### Problem 2:
> "g is equal to seventy-nine less than h"

Solution:
"Seventy-nine less than h" means $ h - 79 $. So:
$$
g = h - 79
$$
✔ Answer: $ g = h - 79 $ (Correct)

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🔹 3. Simplifying Expressions

Solve for $ x $ in each equation.

#### Problem 1:
> $ 5x = 25 $

Solution:
Divide both sides by 5:
$$
x = \frac{25}{5} = 5
$$
✔ Answer: $ x = 5 $ (Correct)

#### Problem 2:
> $ 2x = 8 $

Solution:
Divide both sides by 2:
$$
x = \frac{8}{2} = 4
$$
✔ Answer: $ x = 4 $ (Correct)

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🔹 4. Verbal Equations

This appears to be a table where you need to fill in values based on a rule.

The table has:

| X | 2 | 4 | 6 | 8 | 10 | 12 | 14 | 16 |
|---|---|---|---|---|----|----|----|----|
| 1 | | | | | | | | |

But only one row (row 1) is shown, and no values are filled in. There’s likely a missing instruction or pattern.

Possibility: This might be a function table where you apply a rule such as $ y = x \div 2 $ or something similar — but without more context, we can't determine the exact rule.

However, since it's labeled "Verbal Equations", perhaps the idea is to write an equation that matches the relationship.

But since no data is filled in and no instruction is visible, we cannot solve this part fully unless more information is provided.

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✔ Summary of Correct Answers

All the answers already filled in on the worksheet are correct:

| Section | Problem | Answer |
|--------------------------|------------------------------------|------------------|
| Basic Operations | $ 9 + (-6) $ | $ 3 $ |
| | $ 2 \times (-8) $ | $ -16 $ |
| Verbal Expressions | "y decreased by 44" | $ y - 44 $ |
| | "g is 79 less than h" | $ g = h - 79 $ |
| Simplifying Expressions | $ 5x = 25 $ | $ x = 5 $ |
| | $ 2x = 8 $ | $ x = 4 $ |

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❓ What About the Table?

The table at the bottom seems incomplete. It may be intended for students to:

- Fill in outputs based on a given rule (e.g., $ y = x \div 2 $),
- Or match input/output pairs,
- Or create a pattern.

Without more instructions or data, we can’t complete it. If you have additional details about the rule or what should be in the table, I can help complete it.

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🟩 Final Notes

- All solved problems are correct.
- The worksheet covers foundational pre-algebra skills: negatives, translation of words to math, solving simple equations.
- Great practice for building algebraic thinking!

Let me know if you'd like help creating a full version of the table or generating more problems like these!