Easter Math Riddle - One Step Algebraic Equations Worksheet - Fun Math - Free Printable

Let’s solve each equation step by step. We’ll isolate x on one side of the equation by doing the same thing to both sides (like subtracting or dividing).

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Section A

1) 7x + 9 = 23
→ Subtract 9: 7x = 14
→ Divide by 7: x = 2

2) 5x + 7 = 42
→ Subtract 7: 5x = 35
→ Divide by 5: x = 7

3) 4x + 3 = 51
→ Subtract 3: 4x = 48
→ Divide by 4: x = 12

4) 9x + 5 = 41
→ Subtract 5: 9x = 36
→ Divide by 9: x = 4

5) 4x + 2 = 34
→ Subtract 2: 4x = 32
→ Divide by 4: x = 8

6) 11x + 3 = 36
→ Subtract 3: 11x = 33
→ Divide by 11: x = 3

7) 10x + 2 = 72
→ Subtract 2: 10x = 70
→ Divide by 10: x = 7

8) 7x + 3 = 52
→ Subtract 3: 7x = 49
→ Divide by 7: x = 7

9) 6x + 5 = 17
→ Subtract 5: 6x = 12
→ Divide by 6: x = 2

10) 4x + 7 = 9
→ Subtract 7: 4x = 2
→ Divide by 4: x = 0.5

11) 8x + 11 = 15
→ Subtract 11: 8x = 4
→ Divide by 8: x = 0.5

12) 4x + 17 = 18
→ Subtract 17: 4x = 1
→ Divide by 4: x = 0.25

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Section B

1) 1 + 6x = 19
→ Subtract 1: 6x = 18
→ Divide by 6: x = 3

2) 9 + 7x = 30
→ Subtract 9: 7x = 21
→ Divide by 7: x = 3

3) 3 + 2x = 17
→ Subtract 3: 2x = 14
→ Divide by 2: x = 7

4) 11 + 5x = 71
→ Subtract 11: 5x = 60
→ Divide by 5: x = 12

5) 5 + 3x = 32
→ Subtract 5: 3x = 27
→ Divide by 3: x = 9

6) 4 + 5x = 44
→ Subtract 4: 5x = 40
→ Divide by 5: x = 8

7) 23 = x + 8
→ Subtract 8: 15 = x → x = 15

8) 28 = 3x + 1
→ Subtract 1: 27 = 3x
→ Divide by 3: x = 9

9) 53 = 8x + 5
→ Subtract 5: 48 = 8x
→ Divide by 8: x = 6

10) 13 = 11 + 4x
→ Subtract 11: 2 = 4x
→ Divide by 4: x = 0.5

11) 7 = 8x + 3
→ Subtract 3: 4 = 8x
→ Divide by 8: x = 0.5

12) 12 = 7 + 15x
→ Subtract 7: 5 = 15x
→ Divide by 15: x = 1/3 ≈ 0.333... (but we'll keep as fraction unless told otherwise — but since others are decimals, let’s write as decimal: 0.333 is repeating, so better to leave as 1/3? Wait — check instructions. The worksheet doesn’t specify, but in Section A they used decimals like 0.5 and 0.25. So for consistency, we can write as decimal if it terminates, else fraction. But 1/3 is not terminating. Let me recheck calculation:

12 - 7 = 5 → 5 = 15x → x = 5/15 = 1/3 → which is 0.333... repeating. Since other answers include fractions like 0.5 and 0.25, maybe they expect simplified fractions? Actually, looking at problem 10 and 11 in Section A, they have 0.5 — that’s fine. For 1/3, perhaps write as fraction? But the blank lines don’t specify. To be safe, I’ll use exact values: 1/3 is acceptable, but let’s see what the pattern is. In Section C, there might be more fractions. Alternatively, maybe they want decimal rounded? No — better to give exact value. Since 1/3 is exact, I’ll write it as 1/3. But wait — in the original problems, all coefficients are integers, and answers may be fractions. Let me check problem 12 again: 12 = 7 + 15x → 5 = 15x → x = 5/15 = 1/3. Yes. So I’ll write x = 1/3.

But to match format, perhaps write as decimal? Hmm. Looking back at Section A #10: 4x=2 → x=0.5 — that’s fine. #11: 8x=4 → x=0.5. #12: 4x=1 → x=0.25. So they’re using decimals when possible. For 1/3, it’s not a nice decimal, so maybe they expect fraction? Or perhaps I made a mistake? Let me double-check:

12 = 7 + 15x
Subtract 7: 5 = 15x
Divide by 15: x = 5/15 = 1/3. Correct.

I think it’s okay to write as 1/3. But let’s see Section C — maybe similar cases. Alternatively, perhaps the worksheet expects simplified fractions. I’ll go with 1/3.

Actually, to be consistent with how math worksheets usually handle this, if it’s a repeating decimal, they often accept fraction. So I’ll write x = 1/3.

But let me confirm with another approach: maybe reduce first. 5/15 reduces to 1/3. Yes.

So for now, I’ll put x = 1/3.

Wait — actually, looking at the user’s image, the blanks are just lines — no specification. In many such worksheets, they accept either, but since earlier ones used decimals, and 1/3 is not decimal-friendly, perhaps I should write it as a fraction. I think it’s fine.

Alternatively, maybe I miscalculated? Let me do it again:

12 = 7 + 15x
Minus 7: 5 = 15x
x = 5 ÷ 15 = 1/3. Yes.

Okay, moving on.

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Section C

1) 4x – 1 = 31
→ Add 1: 4x = 32
→ Divide by 4: x = 8

2) 3x – 4 = 29
→ Add 4: 3x = 33
→ Divide by 3: x = 11

3) 6x – 5 = 31
→ Add 5: 6x = 36
→ Divide by 6: x = 6

4) 8x – 2 = 46
→ Add 2: 8x = 48
→ Divide by 8: x = 6

5) 2x – 7 = 21
→ Add 7: 2x = 28
→ Divide by 2: x = 14

6) 7x – 3 = 18
→ Add 3: 7x = 21
→ Divide by 7: x = 3

7) 9x – 4 = 32
→ Add 4: 9x = 36
→ Divide by 9: x = 4

8) 5x – 1 = 64
→ Add 1: 5x = 65
→ Divide by 5: x = 13

9) 12x – 9 = 39
→ Add 9: 12x = 48
→ Divide by 12: x = 4

10) 2x – 1 = 2
→ Add 1: 2x = 3
→ Divide by 2: x = 1.5

11) 4x – 8 = 10
→ Add 8: 4x = 18
→ Divide by 4: x = 4.5

12) 15x – 2 = 3
→ Add 2: 15x = 5
→ Divide by 15: x = 5/15 = 1/3 ≈ 0.333... → again, x = 1/3

Wait — same as Section B #12. So yes, x = 1/3.

But to be consistent, since in Section C #10 and #11 we have 1.5 and 4.5, which are decimals, perhaps for 1/3 we should write as decimal? But 1/3 is 0.333..., which is infinite. Maybe the worksheet expects fraction? Or perhaps I should write it as \frac{1}{3}? But since the answer format is plain text, I’ll write "1/3".

Alternatively, check if I can simplify differently. No.

Another thought: in Section B #12, 12 = 7 + 15x → x=1/3, and Section C #12: 15x - 2 = 3 → 15x=5 → x=1/3. Same answer. So it’s correct.

Now, compiling all answers.

Let me list them clearly.

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Final Answers:

Section A:
1) 2
2) 7
3) 12
4) 4
5) 8
6) 3
7) 7
8) 7
9) 2
10) 0.5
11) 0.5
12) 0.25

Section B:
1) 3
2) 3
3) 7
4) 12
5) 9
6) 8
7) 15
8) 9
9) 6
10) 0.5
11) 0.5
12) 1/3 (or 0.333... but I'll use 1/3 for accuracy)

Section C:
1) 8
2) 11
3) 6
4) 6
5) 14
6) 3
7) 4
8) 13
9) 4
10) 1.5
11) 4.5
12) 1/3

But to make sure, let me verify a few that might be tricky.

Section B #7: 23 = x + 8 → x = 23 - 8 = 15. Correct.

Section B #8: 28 = 3x + 1 → 27 = 3x → x=9. Correct.

Section C #10: 2x -1 =2 → 2x=3 → x=1.5. Correct.

Section C #11: 4x-8=10 → 4x=18 → x=4.5. Correct.

Section C #12: 15x-2=3 → 15x=5 → x=5/15=1/3. Correct.

For Section B #12: same as above.

Now, about writing 1/3 — since the worksheet has decimals like 0.5 and 0.25, and 1.5, 4.5, which are exact decimals, but 1/3 is not, I think it's acceptable to write as fraction. Perhaps the teacher expects fraction. I'll keep it as 1/3.

Alternatively, maybe write as decimal rounded? But no, better exact.

I think it's fine.

So final answer compilation.

Since the user didn't ask for explanation, and options are false, I just need to provide the final answer.

But according to the response format, I must provide Final Answer after reasoning, and since ExplainAnswer etc. are false, I skip those sections.

So I'll list all answers in order.

Perhaps group by section.

Final Answer:

Section A:
1) 2
2) 7
3) 12
4) 4
5) 8
6) 3
7) 7
8) 7
9) 2
10) 0.5
11) 0.5
12) 0.25

Section B:
1) 3
2) 3
3) 7
4) 12
5) 9
6) 8
7) 15
8) 9
9) 6
10) 0.5
11) 0.5
12) \frac{1}{3} (but in plain text, "1/3")

Section C:
1) 8
2) 11
3) 6
4) 6
5) 14
6) 3
7) 4
8) 13
9) 4
10) 1.5
11) 4.5
12) \frac{1}{3} ("1/3")

To write in a single block as per instruction.

Since the Final Answer should be concise, perhaps list all in sequence.

But the worksheet has three sections, so better to label.

I think it's clear.

One more thing: in Section B #12 and Section C #12, both are 1/3, which is correct.

Also, for Section A #12: 4x+17=18 → 4x=1 → x=0.25, which is 1/4, but they wrote 0.25, so decimal is fine. Similarly, for 1/3, since it's not terminating, fraction is better.

I recall that in some curricula, they prefer fractions for exact values. So I'll use "1/3".

Now, writing the Final Answer.