Punchline Bridge To Algebra ≡ Fill Out Printable PDF Forms Online - Free Printable

Let's solve this fun math worksheet step by step. The goal is to solve each equation or word problem, find the solution in the code at the top, and use the corresponding letter to decode the punchline to the joke:

> "Why did the chicken cross the road?"

But first, let's look at the structure of the worksheet:

- There are two jokes:
1. "What do you call a chicken crossing the road?"
2. "Why did the turkey cross the road?"

- Below are equations labeled with letters (E, U, S, R, etc.), and some word problems (K, N, P, C, T, O).

- At the top, there’s a code with numbers and words like:
```
9 lb 10 h -11 -80 8 h -65 12 37 lb 4 -36 7 lb 18 10 h 8 h 4 10 h -36
```
and
```
8 h 10 h 39 9 lb -65 10 h -7 6 -33 -45 6 11 h 32 -96 -30 -36 8 h 15 41 lb -45 4 41 lb 20 6 -36
```

We are told:
> *"Solve each equation or problem and find your solution in the code. Each time it appears, write the exercise letter above it."*

So we need to:
1. Solve each equation.
2. Match the answer to one of the values in the code.
3. Use the corresponding letter from the problem to fill in the blanks.

---

Step 1: Solve Each Equation

#### E. \( 5 + 4n = 29 \)
Subtract 5:
\( 4n = 24 \)
Divide by 4:
\( n = 6 \)

✔ Answer: 6

---

#### U. \( -8 - 3y = 25 \)
Add 8:
\( -3y = 33 \)
Divide by -3:
\( y = -11 \)

✔ Answer: -11

---

#### S. \( 19 + \frac{x}{2} = 4 \)
Subtract 19:
\( \frac{x}{2} = -15 \)
Multiply by 2:
\( x = -30 \)

✔ Answer: -30

---

#### R. \( -\frac{1}{5}d - 1 = 12 \)
Add 1:
\( -\frac{1}{5}d = 13 \)
Multiply by -5:
\( d = -65 \)

✔ Answer: -65

---

#### M. \( 90 = 10p - 90 \)
Add 90:
\( 180 = 10p \)
Divide by 10:
\( p = 18 \)

✔ Answer: 18

---

#### Y. \( -11 = 61 - 6q \)
Subtract 61:
\( -72 = -6q \)
Divide by -6:
\( q = 12 \)

✔ Answer: 12

---

#### H. \( -17 - \frac{u}{3} = -2 \)
Add 17:
\( -\frac{u}{3} = 15 \)
Multiply by -3:
\( u = -45 \)

✔ Answer: -45

---

#### A. \( -8 = 4 + \frac{1}{8}b \)
Subtract 4:
\( -12 = \frac{1}{8}b \)
Multiply by 8:
\( b = -96 \)

✔ Answer: -96

---

#### I. \( -64 = -15m - 4 \)
Add 4:
\( -60 = -15m \)
Divide by -15:
\( m = 4 \)

✔ Answer: 4

---

#### V. \( 12 - 9w = 75 \)
Subtract 12:
\( -9w = 63 \)
Divide by -9:
\( w = -7 \)

✔ Answer: -7

---

#### L. \( -13 - \frac{1}{4}h = 7 \)
Add 13:
\( -\frac{1}{4}h = 20 \)
Multiply by -4:
\( h = -80 \)

✔ Answer: -80

---

#### W. \( -\frac{a}{16} + 101 = 99 \)
Subtract 101:
\( -\frac{a}{16} = -2 \)
Multiply by -16:
\( a = 32 \)

✔ Answer: 32

---

Now the word problems:

#### K. Jo is thinking of a number. Four less than 9 times the number is 176. Find Jo's number.

Let \( x \) be the number:
\( 9x - 4 = 176 \)
Add 4: \( 9x = 180 \)
Divide by 9: \( x = 20 \)

✔ Answer: 20

---

#### N. Mo is thinking of a number. Eleven more than one third of the number is -1. Find Mo's number.

Let \( x \):
\( \frac{1}{3}x + 11 = -1 \)
Subtract 11: \( \frac{1}{3}x = -12 \)
Multiply by 3: \( x = -36 \)

✔ Answer: -36

---

#### P. A table and 8 chairs together weigh 97 lb. If the table weighs 25 lb, how much does each chair weigh?

Total weight: 97 lb
Table: 25 lb
Chairs: \( 97 - 25 = 72 \) lb
Each chair: \( 72 / 8 = 9 \) lb

✔ Answer: 9 lb

---

#### C. Three desks and a bookcase weigh 157 lb. The bookcase weighs 34 lb. How much does each desk weigh?

Total: 157 lb
Bookcase: 34 lb
Desks: \( 157 - 34 = 123 \) lb
Each desk: \( 123 / 3 = 41 \) lb

✔ Answer: 41 lb

---

#### T. Mr. Piper's plumbing needed repairs. The plumber charged $98 for parts plus $45 per hour for labor. If the bill totaled $458, how many hours of labor were required?

Let \( h \) = hours
\( 98 + 45h = 458 \)
Subtract 98: \( 45h = 360 \)
Divide by 45: \( h = 8 \)

✔ Answer: 8 h

---

#### O. Oshgosh would like to buy a new pair of skates for $115. So far he has saved $40. If he earns $7.50 per hour, how many hours must he work until he can buy the skates?

Amount needed: \( 115 - 40 = 75 \)
Hours: \( 75 / 7.50 = 10 \)

✔ Answer: 10 h

---

Step 2: Collect All Answers

| Problem | Answer |
|--------|------------|
| E | 6 |
| U | -11 |
| S | -30 |
| R | -65 |
| M | 18 |
| Y | 12 |
| H | -45 |
| A | -96 |
| I | 4 |
| V | -7 |
| L | -80 |
| W | 32 |
| K | 20 |
| N | -36 |
| P | 9 lb |
| C | 41 lb |
| T | 8 h |
| O | 10 h |

---

Step 3: Match Answers to Code

Look at the code:

First row (for question 1):
```
9 lb 10 h -11 -80 8 h -65 12 37 lb 4 -36 7 lb 18 10 h 8 h 4 10 h -36
```

Second row (for question 2):
```
8 h 10 h 39 9 lb -65 10 h -7 6 -33 -45 6 11 h 32 -96 -30 -36 8 h 15 41 lb -45 4 41 lb 20 6 -36
```

We'll now go through each answer and see where it appears.

---

Question 1: "What do you call a chicken crossing the road?"

We’ll look for answers in the first code line.

Let’s list the code positions:

1. 9 lb
2. 10 h
3. -11
4. -80
5. 8 h
6. -65
7. 12
8. 37 lb
9. 4
10. -36
11. 7 lb
12. 18
13. 10 h
14. 8 h
15. 4
16. 10 h
17. -36

Now match our answers:

- 9 lb → P
- 10 h → O
- -11 → U
- -80 → L
- 8 h → T
- -65 → R
- 12 → Y
- 37 lb → ??? (no one got 37 lb)
- 4 → I
- -36 → N
- 7 lb → ???
- 18 → M
- 10 h → O
- 8 h → T
- 4 → I
- 10 h → O
- -36 → N

Wait — we need to find which letters correspond to the answers.

Actually, we need to reverse the process.

We have solved each problem and found an answer. We now go to the code and find where that answer appears, then write the letter of the problem above it.

So for example:

- Problem P → answer = 9 lb → appears in code at position 1 → so write P above "9 lb"
- Problem O → answer = 10 h → appears at position 2, 13, 16 → write O above those
- Problem U → answer = -11 → appears at position 3 → write U above "-11"
- Problem L → answer = -80 → position 4 → write L above "-80"
- Problem T → answer = 8 h → appears at 5, 14 → write T above them
- Problem R → answer = -65 → position 6 → write R above "-65"
- Problem Y → answer = 12 → position 7 → write Y above "12"
- Problem I → answer = 4 → positions 9, 15 → write I above "4"
- Problem N → answer = -36 → positions 10, 17 → write N above "-36"
- Problem M → answer = 18 → position 12 → write M above "18"
- Problem C → answer = 41 lb → not in first row? Wait — maybe second row?
- Problem K → answer = 20 → not in first row
- Problem W → answer = 32 → not in first row
- Problem V → answer = -7 → not in first row
- Problem H → answer = -45 → not in first row
- Problem A → answer = -96 → not in first row
- Problem S → answer = -30 → not in first row
- Problem E → answer = 6 → not in first row

Hmm. Many answers aren’t in the first row.

Let’s try the second code row:

```
8 h 10 h 39 9 lb -65 10 h -7 6 -33 -45 6 11 h 32 -96 -30 -36 8 h 15 41 lb -45 4 41 lb 20 6 -36
```

Now check all answers:

- 8 h → T (problem T)
- 10 h → O
- 39 → ??? (no one got 39)
- 9 lb → P
- -65 → R
- 10 h → O
- -7 → V
- 6 → E
- -33 → ???
- -45 → H
- 6 → E
- 11 h → ???
- 32 → W
- -96 → A
- -30 → S
- -36 → N
- 8 h → T
- 15 → ???
- 41 lb → C
- -45 → H
- 4 → I
- 41 lb → C
- 20 → K
- 6 → E
- -36 → N

Now we can map:

| Value | Appears in code | Problem Letter |
|----------|------------------|----------------|
| 8 h | pos 1, 7, 17 | T |
| 10 h | pos 2, 5, 10 | O |
| 39 | pos 3 | ??? |
| 9 lb | pos 4 | P |
| -65 | pos 5 | R |
| -7 | pos 7 | V |
| 6 | pos 8, 12, 24 | E |
| -33 | pos 9 | ??? |
| -45 | pos 10, 21 | H |
| 11 h | pos 11 | ??? |
| 32 | pos 12 | W |
| -96 | pos 13 | A |
| -30 | pos 14 | S |
| -36 | pos 15, 26 | N |
| 15 | pos 16 | ??? |
| 41 lb | pos 17, 20 | C |
| 20 | pos 22 | K |
| 6 | pos 24 | E |
| -36 | pos 26 | N |

Now, the second question is about the turkey, and the code is longer, so likely this is for question 2.

But let’s see what we have.

We’re supposed to write the exercise letter above each value in the code.

So for the second code row:

```
8 h 10 h 39 9 lb -65 10 h -7 6 -33 -45 6 11 h 32 -96 -30 -36 8 h 15 41 lb -45 4 41 lb 20 6 -36
```

Now plug in the letters:

- 8 h → T
- 10 h → O
- 39 → ? (not used)
- 9 lb → P
- -65 → R
- 10 h → O
- -7 → V
- 6 → E
- -33 → ?
- -45 → H
- 6 → E
- 11 h → ?
- 32 → W
- -96 → A
- -30 → S
- -36 → N
- 8 h → T
- 15 → ?
- 41 lb → C
- -45 → H
- 4 → I
- 41 lb → C
- 20 → K
- 6 → E
- -36 → N

Now read the sequence of letters:

T O ? P R O V E ? H E ? W A S N T ? C H I C K

Wait — let's write it clearly:

Positions:
1. T
2. O
3. ?
4. P
5. R
6. O
7. V
8. E
9. ?
10. H
11. E
12. ?
13. W
14. A
15. S
16. N
17. T
18. ?
19. C
20. H
21. I
22. C
23. K
24. E
25. N

Now look at the pattern.

From position 1 to 25:

T O _ P R O V E _ H E _ W A S N T _ C H I C K E N

That looks like:
TO PROVE HE WASN'T CHICKEN

But wait — “To prove he wasn’t chicken” — but the joke is about the turkey.

Ah! That makes sense!

The turkey crossed the road to prove he wasn't chicken — a pun on "chicken" meaning cowardly.

So the answer to Question 2:
> Why did the turkey cross the road?
> To prove he wasn't chicken.

Now, what about Question 1?

Let’s look at the first code row:

```
9 lb 10 h -11 -80 8 h -65 12 37 lb 4 -36 7 lb 18 10 h 8 h 4 10 h -36
```

We already know:

- 9 lb → P
- 10 h → O
- -11 → U
- -80 → L
- 8 h → T
- -65 → R
- 12 → Y
- 37 lb → ? (no one has 37 lb)
- 4 → I
- -36 → N
- 7 lb → ? (no one has 7 lb)
- 18 → M
- 10 h → O
- 8 h → T
- 4 → I
- 10 h → O
- -36 → N

So writing letters:

P O U L T R Y ? I N ? M O T I O N

Wait — let's list:

1. P
2. O
3. U
4. L
5. T
6. R
7. Y
8. ?
9. I
10. N
11. ?
12. M
13. O
14. T
15. I
16. O
17. N

So: POULTRY IN MOTION

Ah! That’s a pun on “poultry in motion” — like “in motion” as in moving.

So:
> What do you call a chicken crossing the road?
> Poultry in motion.

Perfect!

---

Final Answers:

1. What do you call a chicken crossing the road?
→ Poultry in motion

2. Why did the turkey cross the road?
→ To prove he wasn't chicken

---

Summary of the Solution:

- Solve each equation/word problem.
- Match the numerical or unit answer to the code.
- Write the problem letter above the matching value in the code.
- Reading the letters in order gives the punchlines.

✔ Answer to #1: Poultry in motion
✔ Answer to #2: To prove he wasn't chicken

These are classic puns:
- "Poultry in motion" = "Poultry" (chicken) + "in motion" (moving)
- "To prove he wasn't chicken" = "chicken" meaning cowardly

---

Final Answer:

1. Poultry in motion
2. To prove he wasn't chicken ✔