Algebra word problems worksheet focused on bananas, with ten scenarios requiring students to write algebraic expressions.

Let’s go through each problem one by one. We’re writing algebraic expressions — that means using letters (like b, s, p, n, c, a) to stand for numbers we don’t know yet, and building math sentences with them.

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1. Bunches:
Each bunch has b bananas. Each banana weighs 150 grams.
So total weight = number of bananas × weight per banana = b × 150
We can write it as: 150b

✔ Final expression: 150b

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2. Smoothies:
Recipe needs 3 bananas for every 2 cups of milk.
You want to make s smoothies.
Assuming “s” is the number of smoothies, and each smoothie uses the same ratio...
Wait — actually, the recipe says “for every 2 cups of milk, you need 3 bananas”. But how many smoothies does that make? The problem doesn’t say! Hmm… maybe we assume that “making s smoothies” means you scale the whole recipe by s? That might not be right.

Actually, let’s re-read: “A recipe for banana smoothies requires 3 bananas for every 2 cups of milk.” It doesn’t say how many smoothies that makes. So perhaps we should interpret this as: if you use 2 cups of milk, you get some number of smoothies — but since it’s not specified, maybe the question intends that “s” is the number of *recipes* or batches? Or maybe “s” is the number of smoothies, and we assume each smoothie uses the same proportion?

This is ambiguous. But in most school problems like this, they mean: if you want to make s smoothies, and the recipe (which makes 1 smoothie?) uses 3 bananas per 2 cups milk — wait, no, still unclear.

Alternative interpretation: Maybe “s” is the number of *cups of milk* used? No, the problem says “if you want to make s smoothies”.

I think the intended meaning is: Each smoothie requires 3 bananas and 2 cups of milk. So for s smoothies, you need 3 × s bananas.

That makes sense. Let’s go with that.

✔ Final expression: 3s

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3. Banana Harvest:
500 bunches harvested. Each bunch has 30 bananas.
Total bananas = 500 × 30 = 15,000 — but wait, the problem says “write an algebraic expression”, so we shouldn’t compute the number. Actually, rereading: “a banana plantation harvested 500 bunches... if each bunch contained 30 bananas...”

But 500 and 30 are fixed numbers — so why write an expression? Unless... maybe it’s a trick? Or perhaps it’s just asking for the expression even though numbers are given? That seems odd.

Wait — looking again: “write an algebraic expression for the total number of bananas harvested.” But all values are known: 500 bunches × 30 bananas = 15,000. But that’s a number, not an expression.

Unless... maybe the problem meant to say “if each bunch contains b bananas” or something? But it doesn’t. It says 30.

Hmm. Perhaps it’s a mistake in the worksheet? Or maybe they just want us to write 500 × 30 as an expression? But that’s arithmetic.

Alternatively, maybe “algebraic expression” here just means show the multiplication? Like 500·30? But that’s not really algebraic.

Wait — let me check other problems. In problem 4, they use “p pounds”, which is variable. Here, everything is fixed. Maybe this is an error? Or perhaps they want us to treat 500 and 30 as constants and just multiply? But then it’s not algebraic.

Another thought: maybe “bunches” is represented by a variable? But no, it says 500 bunches.

I think there might be a typo in the original problem. But since we have to answer based on what’s written, and it says “write an algebraic expression”, perhaps they expect: 500 × 30 — but that’s not algebraic.

Wait — unless “each bunch contained 30 bananas” is meant to be generalized? But it doesn’t say that.

Looking at the pattern of other questions, they all use variables. This one doesn’t. Maybe it’s a test to see if students notice? Or perhaps I misread.

Re-reading: “A banana plantation harvested 500 bunches of bananas. If each bunch contained 30 bananas, write an algebraic expression for the total number of bananas harvested.”

Since both numbers are given, the total is 500 * 30 = 15,000. But that’s a constant, not an expression with variables.

Perhaps the intention was to say “if each bunch contains b bananas”, then expression would be 500b. But it says 30.

Given that, and to stay consistent with the rest of the worksheet, I suspect it’s a mistake, but since we must answer, and other problems use variables, maybe we should assume that “30” is meant to be a variable? But that’s not stated.

Alternatively, perhaps “algebraic expression” here just means the formula, even with numbers. So 500 × 30.

But that feels wrong. Let me skip and come back.

Actually, looking at problem 9: “sells bananas for $0.25 each. If a customer buys b bananas...” — here b is variable. Similarly, problem 10: “ate a total of 24 bananas. If each person ate p bananas...” — p is variable.

In problem 3, no variable is mentioned. So perhaps it’s not supposed to have a variable? But then why call it “algebraic expression”?

Maybe the answer is simply 500 * 30, and we leave it as is? But that’s not algebraic.

Another idea: perhaps “bunches” is implied to be a variable, but it’s given as 500. I’m stuck.

Let me look online or think differently. In some contexts, “algebraic expression” can include constants. For example, 5 + 3 is an algebraic expression? Technically yes, but usually we reserve that for when variables are involved.

Given the context of the worksheet, and that all other problems have variables, I think there might be a typo, and it should be “if each bunch contains b bananas”, then expression is 500b.

But since it’s written as 30, and to be faithful, I’ll calculate it as 500 × 30, but that’s 15,000 — not an expression.

Perhaps the problem is to write the expression before calculating? Like 500 × 30.

I think for the sake of consistency, and because it's likely a oversight, I'll assume that "30" is meant to be a variable, but it's not. Let's read the problem once more: "if each bunch contained 30 bananas" — past tense, specific number.

I think the best approach is to write the expression as 500 * 30, and since it's a constant, it's still an expression. But typically, algebraic expressions have variables.

Perhaps in this context, they consider any mathematical expression as "algebraic". So 500 × 30 is fine.

But let's see the answer format. I need to provide an expression.

I recall that in some curricula, even numerical expressions are called algebraic if they involve operations. But that's stretching it.

Another thought: maybe "bunches" is b, but it's given as 500, so b=500, and bananas per bunch is 30, so total is b*30, but b is 500, so 500*30.

But the problem doesn't define b.

I think I have to go with 500 × 30, and box that as the expression, even though it's numerical.

But let's compare to problem 1: they have b as variable, so expression is 150b.

Here, no variable, so perhaps it's 15000, but that's not an expression.

I found a way: perhaps the "algebraic expression" is 500 * 30, and we leave it unsimplified. So the expression is 500 \times 30.

In math, that is an expression.

So I'll go with that.

✔ Final expression: 500 × 30 or 15000, but since it says "expression", probably 500 \times 30

But to match the style of other answers, which are simplified with variables, this is different.

Perhaps the problem is from a section where they introduce expressions with constants first.

I think for accuracy, I'll write it as 500 * 30.

But let's move on and come back.

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4. Produce Prices:
Bananas cost $0.50 per pound. Customer buys p pounds.
Total cost = price per pound × pounds = 0.50 × p
We can write it as: 0.50p or ½p

✔ Final expression: 0.50p

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5. Banana Splits:
One banana split needs 1 banana. You want to make b banana splits.
So total bananas needed = 1 × b = b

✔ Final expression: b

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6. Banana Bread:
One loaf needs 2 ripe bananas. You want to make n loaves.
Total bananas = 2 × n = 2n

✔ Final expression: 2n

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7. Smoothie Calories:
One serving has 120 calories. You consume c servings.
Total calories = 120 × c = 120c

✔ Final expression: 120c

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8. Banana Farming:
Farmer has a acres. Each acre can hold 200 trees.
Total trees = 200 × a = 200a

✔ Final expression: 200a

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9. Sales:
Sells for $0.25 each. Customer buys b bananas.
Total cost = 0.25 × b = 0.25b

✔ Final expression: 0.25b

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10. Banana Consumption:
Group ate 24 bananas total. Each person ate p bananas.
Number of people = total bananas ÷ bananas per person = 24 ÷ p
We can write it as: 24/p

✔ Final expression: 24/p

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Now back to problem 3. After reviewing all others, I see that problem 3 is the only one without a variable. Given that, and to be consistent, I think there might be a typo, and it should be "if each bunch contains b bananas", then expression is 500b.

But since it's written as 30, and the problem says "write an algebraic expression", perhaps they want 500 * 30 as the expression, even though it's numerical.

In some definitions, an algebraic expression can consist of constants and operations. For example, 2 + 3 is an algebraic expression.

So I'll go with 500 × 30.

To make it look like an expression, I'll write it as 500 \times 30.

But in the context of the worksheet, since other answers are like 150b, etc., perhaps for this one, it's just the product.

Another idea: maybe "bunches" is b, but it's given as 500, so b=500, and bananas per bunch is 30, so total is b*30, but since b is 500, it's 500*30.

But the problem doesn't define b.

I think the safest bet is to write the expression as 500 * 30.

So for problem 3: 500 × 30

But let's confirm with calculation: 500 * 30 = 15,000, but we're not to calculate, just write expression.

So final decision:

For problem 3: 500 \times 30

Now, compiling all answers:

1. 150b
2. 3s
3. 500 × 30
4. 0.50p
5. b
6. 2n
7. 120c
8. 200a
9. 0.25b
10. 24/p

For problem 2, I assumed that each smoothie requires 3 bananas, so for s smoothies, 3s bananas. That seems reasonable.

For problem 3, I'm still uneasy, but I'll go with it.

Perhaps in problem 3, "algebraic expression" means to write the formula, so 500 * 30 is fine.

Okay, let's finalize.

Final Answer:
1. 150b
2. 3s
3. 500 × 30
4. 0.50p
5. b
6. 2n
7. 120c
8. 200a
9. 0.25b
10. 24/p

But for problem 3, to make it look like an expression, and since 500 and 30 are constants, it's acceptable.

Some might argue that it should be 15000, but the problem says "expression", so 500 × 30 is better.

In the answer, I'll write it as 500 \times 30.

Now, for the boxed final answer, since there are multiple parts, I need to list them all.

The instruction says "Final Answer: [Provide only the final correct answer]", and since there are 10 problems, I should list all 10 expressions.

So:

Final Answer:
1. \( 150b \)
2. \( 3s \)
3. \( 500 \times 30 \)
4. \( 0.50p \)
5. \( b \)
6. \( 2n \)
7. \( 120c \)
8. \( 200a \)
9. \( 0.25b \)
10. \( \frac{24}{p} \)

For problem 3, I recall that in some worksheets, they might expect the numerical value, but the problem specifically says "algebraic expression", so keeping it as 500 × 30 is correct as an expression.

To be precise, in mathematics, an algebraic expression typically involves variables, but in broader terms, any combination of numbers and operations is an expression. Given the context, I think it's fine.

Perhaps the problem meant to say "if each bunch contains b bananas", but as written, I have to go with what's there.

So I'll proceed.