Educational worksheet for mastering patterns and algebra skills, including pattern recognition, growing patterns, algebraic reasoning, and a motivational message.

Let’s solve the “Check-Up Algebra” table step by step.

We are told:
> Julie and John have the same birthday, June 4th, but Julie is 5 years older than John.

That means:
→ Julie’s age = John’s age + 5
or
→ John’s age = Julie’s age - 5

Also, the difference between their ages is always 5, because Julie is always 5 years older — no matter how old they get, that gap doesn’t change.

---

Now let’s fill in the table row by row.

The table has three columns:
- Julie’s Age
- John’s Age
- The Difference Between Their Ages

We’ll use the rule:
John’s Age = Julie’s Age - 5
and
Difference = 5 (always)

---

Row 1: Julie’s Age = 7
→ John’s Age = 7 - 5 = 2
→ Difference = 5

Row 2: John’s Age = 4
→ Julie’s Age = 4 + 5 = 9
→ Difference = 5

Row 3: Julie’s Age = 17
→ John’s Age = 17 - 5 = 12
→ Difference = 5

Row 4: John’s Age = 25
→ Julie’s Age = 25 + 5 = 30
→ Difference = 5

Row 5: Julie’s Age = 30
→ John’s Age = 30 - 5 = 25 ← Wait! This matches Row 4? Let’s check.

Actually, looking at the table again:

In Row 5, Julie’s Age is given as 30, so John’s Age should be 25 — which is already filled in Row 4 for John’s Age when Julie was 30? That seems like a repeat or maybe a typo in the problem setup? But let’s follow the pattern.

Wait — actually, looking at the original table structure from the image description:

It shows:

| Julie's Age | John's Age | The Difference Between Their Ages |
|-------------|------------|----------------------------------|
| 7 | | |
| | 4 | |
| 17 | | |
| | 25 | |
| 30 | | |
| | 56 | |
| 93 | | |

So we need to fill in the blanks based on what’s given.

Let me reorganize with positions:

Row 1: Julie = 7 → John = ? → Diff = ?
Row 2: Julie = ? → John = 4 → Diff = ?
Row 3: Julie = 17 → John = ? → Diff = ?
Row 4: Julie = ? → John = 25 → Diff = ?
Row 5: Julie = 30 → John = ? → Diff = ?
Row 6: Julie = ? → John = 56 → Diff = ?
Row 7: Julie = 93 → John = ? → Diff = ?

But wait — in the user’s text version, it says:

> Julie’s Age | John’s Age | The Difference Between Their Ages
> 7 | |
> | 4 |
> 17 | |
> | 25 |
> 30 | |
> | 56 |
> 93 | |

And then below:
“What is the rule?”
“Julie’s age - 5 = John’s Age” or “y - 5 = John’s age”
“John’s age + 5 = Julie’s Age” or “y + 5 = Julie’s age”

So yes — consistent rule: Julie is always 5 years older.

So let’s compute each missing value:

---

Row 1: Julie = 7
→ John = 7 - 5 = 2
→ Difference = 5

Row 2: John = 4
→ Julie = 4 + 5 = 9
→ Difference = 5

Row 3: Julie = 17
→ John = 17 - 5 = 12
→ Difference = 5

Row 4: John = 25
→ Julie = 25 + 5 = 30
→ Difference = 5

Row 5: Julie = 30
→ John = 30 - 5 = 25 ← same as Row 4? That’s okay — maybe just showing both directions.

Wait — if Row 4 has John = 25 → Julie = 30, then Row 5 has Julie = 30 → John = 25 — that’s the same pair. Maybe it’s intentional to show symmetry? Or perhaps a formatting error? But mathematically, it’s correct.

Row 6: John = 56
→ Julie = 56 + 5 = 61
→ Difference = 5

Row 7: Julie = 93
→ John = 93 - 5 = 88
→ Difference = 5

---

So now, filling the entire table:

| Julie's Age | John's Age | The Difference Between Their Ages |
|-------------|------------|----------------------------------|
| 7 | 2 | 5 |
| 9 | 4 | 5 |
| 17 | 12 | 5 |
| 30 | 25 | 5 |
| 30 | 25 | 5 | ← duplicate? But mathematically correct
| 61 | 56 | 5 |
| 93 | 88 | 5 |

Wait — in Row 5, Julie is 30, John is 25 — which is the same as Row 4 where John is 25