Math worksheet for middle school students focusing on multiplying integers, with a fun puzzle format.

Let's solve this step-by-step.

This is a math puzzle from "Middle School Math with Pizzazz! Book E", where you multiply integers and then identify the one extra (unmatched) answer in each set. Then, you write the letter of that extra answer in the corresponding box at the bottom.

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🔍 Rules:

- Each numbered section (1–14) has three multiplication problems.
- There are four possible answers listed with letters (e.g., G, K, E, R).
- One of those four answers is not the result of any of the three problems → it’s the extra one.
- You need to find the letter of the extra answer for each set and place it in the box below.

We’ll go through each set, compute the products, match them to the given answers, and find the odd one out.

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## ✔ Step-by-step Solutions

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Set 1

Problems:
1. $-4 \cdot 5 = -20$
2. $6 \cdot -8 = -48$
3. $-9 \cdot -2 = 18$

Answers:
G) -48 ✔️
K) -20 ✔️
E) -18 ✘
R) 18 ✔️

- All three correct answers: -48, -20, 18
- Extra: E (-18) → not a result

✔ Answer: E

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Set 2

Problems:
1. $-3 \cdot 8 = -24$
2. $-4 \cdot -6 = 24$
3. $7 \cdot 7 = 49$

Answers:
B) 24 ✔️
T) -49 ✘
U) -24 ✔️
F) 49 ✔️

- Correct answers: 24, -24, 49
- Extra: T (-49)

✔ Answer: T

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Set 3

Problems:
1. $-5 \cdot -9 = 45$
2. $20 \cdot -4 = -80$
3. $-16 \cdot 2 = -32$

Answers:
S) -48 ✘
V) -80 ✔️
M) -32 ✔️
D) 45 ✔️

- Correct: -80, -32, 45
- Extra: S (-48)

✔ Answer: S

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Set 4

Problems:
1. $6 \cdot -6 = -36$
2. $-10 \cdot -18 = 180$
3. $-12 \cdot -3 = 36$

Answers:
L) -36 ✔️
W) 36 ✔️
I) -180 ✘
Y) 180 ✔️

- Correct: -36, 36, 180
- Extra: I (-180)

✔ Answer: I

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Set 5

Problems:
1. $-1 \cdot 24 = -24$
2. $2 \cdot -24 = -48$
3. $-3 \cdot -24 = 72$

Answers:
H) -24 ✔️
P) -48 ✔️
O) 72 ✔️
T) 84 ✘

- Correct: -24, -48, 72
- Extra: T (84)

✔ Answer: T

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Set 6

Problems:
1. $-7 \cdot -11 = 77$
2. $15 \cdot -4 = -60$
3. $-12 \cdot -5 = 60$

Answers:
G) -60 ✔️
E) 75 ✘
J) 77 ✔️
C) 60 ✔️

- Correct: -60, 77, 60
- Extra: E (75)

✔ Answer: E

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Set 7

Problems:
1. $4 \cdot 50 = 200$
2. $-25 \cdot 8 = -200$
3. $-90 \cdot 0 = 0$

Answers:
R) -100 ✘
B) 200 ✔️
F) 0 ✔️
M) -200 ✔️

- Correct: 200, 0, -200
- Extra: R (-100)

✔ Answer: R

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Set 8

Problems:
1. $-2 \cdot 3 \cdot -5 = (-6) \cdot -5 = 30$
2. $4 \cdot -1 \cdot 9 = (-4) \cdot 9 = -36$
3. $-8 \cdot -5 \cdot 2 = (40) \cdot 2 = 80$

Answers:
P) -36 ✔️
W) 30 ✔️
S) 36 ✘
V) 80 ✔️

- Correct: -36, 30, 80
- Extra: S (36)

✔ Answer: S

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Set 9

Problems:
1. $6 \cdot -2 \cdot -4 = (-12) \cdot -4 = 48$
2. $-7 \cdot 5 \cdot 2 = (-35) \cdot 2 = -70$
3. $-3 \cdot -8 \cdot -2 = (24) \cdot -2 = -48$

Answers:
L) 48 ✔️
T) -50 ✘
N) -70 ✔️
D) -48 ✔️

- Correct: 48, -70, -48
- Extra: T (-50)

✔ Answer: T

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Set 10

Problems:
1. $4 \cdot 3 \cdot -5 = 12 \cdot -5 = -60$
2. $-9 \cdot -8 \cdot -1 = 72 \cdot -1 = -72$
3. $-2 \cdot 2 \cdot -6 = (-4) \cdot -6 = 24$

Answers:
H) -72 ✔️
U) -60 ✔️
R) 24 ✔️
E) -24 ✘

- Correct: -72, -60, 24
- Extra: E (-24)

✔ Answer: E

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Set 11

Problems:
1. $-7 \cdot -3 \cdot -4 = 21 \cdot -4 = -84$
2. $5 \cdot -9 \cdot 2 = (-45) \cdot 2 = -90$
3. $-6 \cdot -5 \cdot 3 = 30 \cdot 3 = 90$

Answers:
O) -90 ✔️
H) 84 ✘
T) -84 ✔️
W) 90 ✔️

- Correct: -90, -84, 90
- Extra: H (84)

✔ Answer: H

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Set 12

Problems:
1. $-8 \cdot 2 \cdot 10 = (-16) \cdot 10 = -160$
2. $4 \cdot -5 \cdot -5 = (-20) \cdot -5 = 100$
3. $-6 \cdot -8 \cdot -2 = 48 \cdot -2 = -96$

Answers:
C) -100 ✘
P) -160 ✔️
A) 100 ✔️
L) -96 ✔️

- Correct: -160, 100, -96
- Extra: C (-100)

✔ Answer: C

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Set 13

Problems:
1. $-7 \cdot 9 \cdot -1 = (-63) \cdot -1 = 63$
2. $-3 \cdot -5 \cdot -3 = 15 \cdot -3 = -45$
3. $4 \cdot 8 \cdot -2 = 32 \cdot -2 = -64$

Answers:
O) 63 ✔️
E) -45 ✔️
I) -48 ✘
B) -64 ✔️

- Correct: 63, -45, -64
- Extra: I (-48)

✔ Answer: I

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Set 14

Problems:
1. $-2 \cdot -15 \cdot -5 = 30 \cdot -5 = -150$
2. $-6 \cdot -1 \cdot 25 = 6 \cdot 25 = 150$
3. $3 \cdot -3 \cdot 3 = (-9) \cdot 3 = -27$

Answers:
A) 150 ✔️
N) 27 ✘
M) -27 ✔️
Y) -150 ✔️

- Correct: 150, -27, -150
- Extra: N (27)

✔ Answer: N

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## 📝 Final Answers:

Now fill in the boxes at the bottom:

| 4 | 9 | 13 | 3 | 5 | 11 | 1 | 8 | 12 | 6 | 14 | 2 | 10 | 7 |
|---|---|----|---|---|----|---|---|----|---|----|---|----|---|
| | | | | | | | | | | | | | |

From above:

- 4 → I
- 9 → T
- 13 → I
- 3 → S
- 5 → T
- 11 → H
- 1 → E
- 8 → S
- 12 → C
- 6 → E
- 14 → N
- 2 → T
- 10 → E
- 7 → R

So the completed row is:

> I T I S T H E S C E N T E R

Wait — let’s check spelling.

Let’s write it out:

1. 4 → I
2. 9 → T
3. 13 → I
4. 3 → S
5. 5 → T
6. 11 → H
7. 1 → E
8. 8 → S
9. 12 → C
10. 6 → E
11. 14 → N
12. 2 → T
13. 10 → E
14. 7 → R

So sequence:
I T I S T H E S C E N T E R

That’s: IT IS THE CENTER

But the question was: Why is your nose in the middle of your face?

And the answer is: Because it's in the center!

✔ So the joke is: "Because it's in the center."

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✔ Final Answer:

The missing letters (extras) form the sentence:

> I T I S T H E S C E N T E R

Which means: It is the center.

So the answer to the riddle is: Because it's in the center.

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✔ Boxed Answer:

$$
\boxed{\text{It is the center.}}
$$