Printable algebra and pre-algebra math worksheets for math grades ... - Free Printable

It looks like you mentioned uploading an image with a task, but I don’t see an image attached. However, you've provided text that appears to be a math worksheet titled "Using Letters as Numbers", with several word problems involving algebraic expressions and equations.

Let me solve each problem step by step and explain the solutions clearly.

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Problem 1:

Papa has 100 dollars. His mother gives him 4 dollars more. How much money does Papa have now?

Solution:
- Let’s let $ P $ represent the amount of money Papa has.
- Initially, $ P = 100 $
- His mother gives him 4 more dollars: $ P + 4 $
- So, $ 100 + 4 = 104 $

✔ Answer: Papa has 104 dollars now.

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Problem 2:

Michele is 3 times as old as her sister. Her sister is 5 years old. How many pencils does she have altogether?

⚠️ Wait! This question seems incomplete or incorrect. It talks about age (Michele and her sister), but then asks about pencils — which wasn't mentioned before.

Possibility: There might be a typo or missing information.

But assuming it meant to ask how old Michele is, we can proceed:

- Sister's age = 5
- Michele is 3 times as old: $ 3 \times 5 = 15 $

✔ Answer: Michele is 15 years old.

But since it asks about pencils, and no info is given about pencils, this problem likely has an error.

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Problem 3:

John bought 4 notebooks at $2 each and paid with a $10 dollar note. How much change did he get?

Solution:
- Cost per notebook = $2
- Number of notebooks = 4
- Total cost = $ 4 \times 2 = 8 $
- He paid with $10
- Change = $ 10 - 8 = 2 $

✔ Answer: John got $2 in change.

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Problem 4:

I have 200 marbles and decide to share among 4 girls. How many marbles will each girl get?

Solution:
- Total marbles = 200
- Number of girls = 4
- Marbles per girl = $ 200 \div 4 = 50 $

✔ Answer: Each girl gets 50 marbles.

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Problem 5:

Peter is a year old. His dad is 5 times older than him. How old is his dad?

Note: "5 times older" is ambiguous. In common usage, “5 times older” means 5 times as old, so:

- Peter’s age = 1 year
- Dad’s age = $ 5 \times 1 = 5 $ years

But wait — a 5-year-old father of a 1-year-old is biologically impossible.

So perhaps the wording is off. Likely, it should say:
“His dad is 5 times as old as him” → still gives 5 years, which doesn't make sense.

Alternatively, maybe Peter is not 1 year old — could there be a typo?

But based on what's written:
If Peter is 1 year old, and his dad is 5 times as old → $ 5 \times 1 = 5 $

That would mean the dad is 5 years old — impossible.

So either:
- The problem is flawed, or
- "Peter is a year old" is a misstatement.

But if we take it literally:
✔ Answer: Dad is 5 years old — though unrealistic.

Perhaps it was meant to say Peter is 5 years old, then dad would be $ 5 \times 5 = 25 $? Still young.

Or maybe “5 times older” means original age + 5× original age = 6×? That’s a common confusion.

But standard interpretation:
“5 times as old” = $ 5 \times 1 = 5 $

So unless corrected, answer is 5 years old, but it’s not realistic.

✘ Conclusion: Problem likely has a typo. But as written: 5 years old.

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Problem 6:

John owns 4 dollars and buys 2 pens at 1 dollar each. How much money does he have left?

Solution:
- Initial money = $4
- Cost of 2 pens = $ 2 \times 1 = 2 $
- Money left = $ 4 - 2 = 2 $

✔ Answer: John has $2 left.

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Problem 7:

I have 3 boxes of pencils. Each box has 20 pencils. How many pencils do I have in total?

Solution:
- Number of boxes = 3
- Pencils per box = 20
- Total pencils = $ 3 \times 20 = 60 $

✔ Answer: You have 60 pencils.

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Problem 8:

Beth has 4 erasers and 3 pencils. How many erasers and pencils does she have together?

Solution:
- Erasers = 4
- Pencils = 3
- Total = $ 4 + 3 = 7 $

✔ Answer: Beth has 7 items (erasers and pencils) together.

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## ✔ Final Answers Summary:

| Problem | Answer |
|--------|--------|
| 1 | 104 dollars |
| 2 | Error: No info about pencils; possibly meant to ask age → 15 years |
| 3 | $2 change |
| 4 | 50 marbles each |
| 5 | 5 years old (but likely a typo) |
| 6 | $2 left |
| 7 | 60 pencils |
| 8 | 7 items |

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Let me know if you’d like these rewritten with variables (using letters as numbers) as suggested in the title — for example, using $ x $, $ y $, etc., to represent unknowns.