Algebra worksheet for generating expressions from word problems, suitable for 6th-grade math practice.

Let’s go through each problem one by one. We’re turning word phrases into algebraic expressions — that means using letters (like a, b, c) and math symbols (+, –, ×, ÷) to write what the words say.

We’ll use the examples given:
- “5 less than c” → c – 5
- “3 lots of g” → 3g

Now let’s solve each:

1) 4 more than a → add 4 to a → a + 4

2) double b → multiply b by 2 → 2b

3) 10 less than c → subtract 10 from c → c – 10

4) a half of d → divide d by 2 → d/2 or ½d

5) 8 more than e → add 8 to e → e + 8

6) 9 subtract f → this means take f away from 9 → 9 – f

7) 4 lots of g → 4 times g → 4g

8) 7 subtract h → take h away from 7 → 7 – h

9) 14 less than i → subtract 14 from i → i – 14

10) multiply j by 4 → 4 times j → 4j

11) divide k by 3 → k divided by 3 → k/3

12) double l and add 2 → first double l (2l), then add 2 → 2l + 2

13) halve m and then subtract 3 → half of m is m/2, then minus 3 → m/2 – 3

14) double n and then add 5 → 2n + 5

15) double o and then subtract 3 → 2o – 3

16) halve p and then add 6 → p/2 + 6

17) subtract q from 10 → 10 – q

18) subtract 10 from q → q – 10

19) multiply r by 8 then add 1 → 8r + 1

20) divide s by 5 and then → wait, it says “and then” but doesn’t finish? Looking at the pattern, maybe it’s cut off. But since it says “divide s by 5 and then”, and no next step, perhaps it’s just s/5. But let’s check #21–24 — they also end with “and then”. Hmm. Maybe it’s a typo in the worksheet? Since we have to answer based on what’s written, for #20: if it only says “divide s by 5 and then”, and nothing else, we can only do the division part → s/5

But wait — looking again at the original image text you provided:

> 20) divide s by 5 and then
> 21) multiply t by 4 and then
> 22) add 2 to u and then double it
> 23) subtract 3 from v and then
> 24) multiply w by 6 and then

Ah! For #22, it *does* complete: “add 2 to u and then double it” → so that’s (u + 2) × 2

For #20, #21, #23, #24 — they end with “and then” but don’t say what comes next. That seems like an error in the worksheet. But since we must answer as written, and assuming it’s a mistake, perhaps we should only do the first part? Or maybe it’s meant to be left incomplete? But that doesn’t make sense for homework.

Wait — let me re-read your input carefully. You copied the text exactly as:

> 20) divide s by 5 and then
> 21) multiply t by 4 and then
> 22) add 2 to u and then double it
> 23) subtract 3 from v and then
> 24) multiply w by 6 and then

Only #22 has a full instruction. The others are cut off. This is likely a formatting error when copying. In real worksheets, these would probably continue. But since we have to work with what’s given, and #22 is complete, perhaps for the others, we assume the “and then” is accidental and just do the first operation? Or maybe it’s implied to stop there?

Actually, looking back at the example: “‘5 less than c’ is ‘c – 5’” — so each phrase is self-contained. So if it says “divide s by 5 and then”, that’s not a complete thought. But since this is a student worksheet, and #22 is complete, I think for consistency, we should treat #20, #21, #23, #24 as having missing parts — but that’s not fair to the student.

Alternatively, perhaps in the original image, those lines continue, but in your text copy, they got cut off. Since you said “uploaded an image”, but I can’t see images, I have to rely on your text.

Given that, and to avoid leaving blanks, I’ll assume that for #20, #21, #23, #24, the “and then” is a mistake and we just do the first part — because otherwise, we can’t answer.

But wait — #22 says “add 2 to u and then double it” — which is clear: (u + 2) × 2

Similarly, if #20 was meant to be “divide s by 5 and then [something]”, but it’s not there, we can’t guess.

This is a problem. But since this is a common type of worksheet, and often such errors occur in transcription, I’ll proceed by answering only what is clearly stated.

So:

20) “divide s by 5 and then” → incomplete, but if forced, just s/5

But that feels wrong. Let me check online or standard practice — actually, in many such sheets, if it says “and then” without continuation, it might be a typo, and the intended expression is just the first part.

To be safe, I’ll note that for #20, #21, #23, #24, the instructions are incomplete, but since we must provide answers, I’ll give the expression for the part that is complete.

Alternatively, perhaps “and then” is meant to be ignored? Unlikely.

Another idea: maybe in the original, #20 is “divide s by 5 and then [add something]”, but since it’s not there, we can’t know.

I think the best approach is to answer based on what’s written, and for incomplete ones, do the first operation.

But let’s look at #22: it’s complete → “add 2 to u and then double it” → (u + 2) × 2

Similarly, if #23 was “subtract 3 from v and then [do something]”, but it’s not specified, so perhaps it’s a mistake.

Given the constraints, I’ll proceed as follows:

For #20: divide s by 5 → s/5

#21: multiply t by 4 → 4t

#22: add 2 to u and then double it → (u + 2) × 2 or 2(u + 2)

#23: subtract 3 from v → v - 3 (ignoring “and then”)

#24: multiply w by 6 → 6w

This is not ideal, but it’s the best we can do with the information.

Perhaps the “and then” is a red herring, and we should only do what’s explicitly said before “and then”.

Yes, that makes sense. So:

- If it says “X and then Y”, do both.
- If it says “X and then” with no Y, then only do X.

So:

20) divide s by 5 → s/5

21) multiply t by 4 → 4t

22) add 2 to u and then double it → 2(u + 2)

23) subtract 3 from v → v - 3

24) multiply w by 6 → 6w

Okay, that seems consistent.

Now let’s list all answers:

1) a + 4
2) 2b
3) c – 10
4) d/2
5) e + 8
6) 9 – f
7) 4g
8) 7 – h
9) i – 14
10) 4j
11) k/3
12) 2l + 2
13) m/2 – 3
14) 2n + 5
15) 2o – 3
16) p/2 + 6
17) 10 – q
18) q – 10
19) 8r + 1
20) s/5
21) 4t
22) 2(u + 2)
23) v – 3
24) 6w

I think that’s correct.

Final Answer:
1) a + 4
2) 2b
3) c – 10
4) d/2
5) e + 8
6) 9 – f
7) 4g
8) 7 – h
9) i – 14
10) 4j
11) k/3
12) 2l + 2
13) m/2 – 3
14) 2n + 5
15) 2o – 3
16) p/2 + 6
17) 10 – q
18) q – 10
19) 8r + 1
20) s/5
21) 4t
22) 2(u + 2)
23) v – 3
24) 6w