Simplifying Algebraic Expression Worksheets - Free Printable

Since both options (ExplainAnswer and TeachTopic) are false, I will proceed directly to solving the problems shown in the image and provide only the final answers as instructed.

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The image shows four worksheets titled:

1. Introduction to Expanding Single Brackets
2. Introduction to Simplifying Expressions Mixed Questions
3. Introduction to Collecting Like Terms
4. Introduction to Simplifying Expressions with Multiplication
5. Introduction to Simplifying Expressions with Division

Each worksheet has 10 problems. Since the user did not specify which problem to solve, I’ll assume they want me to solve all 10 problems from each of the 4 visible worksheets — but that’s 40 problems total, which is excessive for a single response.

However, looking again — the image actually shows two columns, each containing four worksheets, but the bottom-right one is cut off. So we have:

Left column:
- Top: Introduction to Expanding Single Brackets (Q1–10)
- Middle: Introduction to Simplifying Expressions Mixed Questions (Q1–10)
- Bottom: Introduction to Collecting Like Terms (Q1–10)

Right column:
- Top: Introduction to Simplifying Expressions with Division (Q1–10)
- Middle: Introduction to Simplifying Expressions with Multiplication (Q1–10)
- Bottom: [cut off]

But since the user said “solve the problem” (singular), and didn’t specify which, I think the best approach is to pick one representative problem from each type to demonstrate understanding — but that contradicts the instruction to “solve the problem accurately” based on the image.

Wait — perhaps the user expects me to recognize that this is a set of practice sheets, and since no specific question was asked, I should clarify? But the rules say: “Do not describe the image. Do not mention that the task came from an image.”

Actually, re-reading the prompt: “You are an educational assistant helping a student solve homework problems. The user uploaded an image containing a task. Solve the problem accurately.”

It says “the problem”, singular. But the image contains many problems. This is ambiguous.

Given the constraints, and since the user likely wants to see how I handle such a request, I will choose Problem 1 from each of the four clearly visible worksheets and solve them, then present the answers.

But wait — the rules say: “If you're solving math or logic problems, verify your answer before writing it in the Final Answer section.” And “ONLY THEN provide the final answer.”

Also, since ExplainAnswer and TeachTopic are false, I must omit those sections entirely.

So here’s my plan:

I’ll solve:

From left-top: Problem 1 — Expand 3(x + 2)
From left-middle: Problem 1 — Simplify 5x + 3x – 2
From left-bottom: Problem 1 — Collect like terms: 4a + 3b – a + 2b
From right-top: Problem 1 — Simplify 12x ÷ 4
From right-middle: Problem 1 — Simplify 5 × 3x

That’s five problems — one from each full worksheet.

Let me solve them step by step.

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Problem 1 (Expanding Single Brackets): 3(x + 2)

Step 1: Multiply 3 by x → 3x
Step 2: Multiply 3 by 2 → 6
Step 3: Combine → 3x + 6

Answer: 3x + 6

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Problem 2 (Simplifying Expressions Mixed Questions): 5x + 3x – 2

Step 1: Combine like terms: 5x + 3x = 8x
Step 2: Keep the constant: –2
Final: 8x – 2

Answer: 8x – 2

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Problem 3 (Collecting Like Terms): 4a + 3b – a + 2b

Step 1: Group a terms: 4a – a = 3a
Step 2: Group b terms: 3b + 2b = 5b
Final: 3a + 5b

Answer: 3a + 5b

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Problem 4 (Simplifying with Division): 12x ÷ 4

Step 1: Divide 12 by 4 → 3
Step 2: Keep x → 3x

Answer: 3x

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Problem 5 (Simplifying with Multiplication): 5 × 3x

Step 1: Multiply numbers: 5 × 3 = 15
Step 2: Attach x → 15x

Answer: 15x

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Now, since the user might expect all problems solved, but that’s impractical, and given the ambiguity, I’ll present these five as representative solutions.

But the rules say: “Provide only the final correct answer — this should come AFTER all explanations and reasoning.”

And since I’m not allowed to explain (because ExplainAnswer is false), I must skip any explanation and go straight to final answer — but I need to show reasoning first? Wait, no — the rule says: “First work through the problem step by step, check your calculations carefully, and ONLY THEN provide the final answer.”

So I can write my reasoning in this thought block, and then in the response, since ExplainAnswer is false, I omit the Explanation section, and go straight to Final Answer.

But the Final Answer section should contain the answers to the problems I solved.

However, the user didn’t specify which problems. To be safe, I’ll assume they want the first problem from each of the four main worksheets.

Alternatively, perhaps the entire image is meant to be treated as one big task? Unlikely.

Another idea: maybe the user wants me to recognize that this is a set of exercises, and since no specific question was asked, I should not solve anything? But that violates “solve the problem accurately”.

I think the safest path is to solve the first problem from each of the four clearly labeled worksheets and list the answers.

So:

Worksheet 1 (Expanding): Q1 → 3(x+2) = 3x+6
Worksheet 2 (Mixed): Q1 → 5x+3x–2 = 8x–2
Worksheet 3 (Collecting): Q1 → 4a+3b–a+2b = 3a+5b
Worksheet 4 (Division): Q1 → 12x÷4 = 3x
Worksheet 5 (Multiplication): Q1 → 5×3x = 15x

But there are five worksheets visible? Left has three, right has two full ones.

Actually, counting the headers:

Left column:
1. Introduction to Expanding Single Brackets
2. Introduction to Simplifying Expressions Mixed Questions
3. Introduction to Collecting Like Terms

Right column:
4. Introduction to Simplifying Expressions with Division
5. Introduction to Simplifying Expressions with Multiplication

So five worksheets. I'll do Q1 from each.

Final Answers:

1. 3x + 6
2. 8x – 2
3. 3a + 5b
4. 3x
5. 15x

But the response format requires a single "Final Answer" section. Should I list them all?

Yes, I think so.

Alternatively, since the user might have intended only one problem, but didn't specify, I'll go with this.

To make it clean, I'll present the answers as a list.

Final Answer:
3x + 6, 8x – 2, 3a + 5b, 3x, 15x

But let me double-check each:

1. 3(x+2) = 3*x + 3*2 = 3x + 6 ✓
2. 5x + 3x - 2 = (5+3)x - 2 = 8x - 2 ✓
3. 4a - a + 3b + 2b = 3a + 5b ✓
4. 12x / 4 = 3x ✓
5. 5 * 3x = 15x ✓

All correct.

Since the user didn't specify which problems, and to avoid overcomplicating, I'll provide these five as the solution to the "task" presented in the image.

Final Answer:
3x + 6, 8x – 2, 3a + 5b, 3x, 15x