Pre-algebra worksheet with algebraic expressions to solve and a code to decode, titled "Rapid Multiplication."

Let's solve this step-by-step.

We are given a set of algebraic expressions with specific values for variables. We need to evaluate each expression, then match the result to the numbers in the "CODE LINE" at the bottom. Each time a number appears in the code, we write the letter of that exercise above it. The goal is to decode the message.

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Step 1: Evaluate each expression

We'll go through each one and compute the value.

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M: $ 5x + 4 $ if $ x = 3 $
$ 5(3) + 4 = 15 + 4 = 19 $

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G: $ 7a + 3 $ if $ a = -2 $
$ 7(-2) + 3 = -14 + 3 = -11 $

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P: $ -3y - 9 $ if $ y = -8 $
$ -3(-8) - 9 = 24 - 9 = 15 $

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A: $ 4b + 9t $ if $ b = 7, t = -2 $
$ 4(7) + 9(-2) = 28 - 18 = 10 $

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C: $ -8g + 3n $ if $ g = -3, n = 4 $
$ -8(-3) + 3(4) = 24 + 12 = 36 $

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N: $ -6s - 5h $ if $ s = 9, h = 5 $
$ -6(9) - 5(5) = -54 - 25 = -79 $

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T: $ x + 7p $ if $ x = -1, p = 8 $
$ -1 + 7(8) = -1 + 56 = 55 $

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U: $ 7q - 2d + 3 $ if $ q = -7, d = 1 $
$ 7(-7) - 2(1) + 3 = -49 - 2 + 3 = -48 $

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S: $ -c + 5m - 3 $ if $ c = -5, m = 2 $
$ -(-5) + 5(2) - 3 = 5 + 10 - 3 = 12 $

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X: $ 4x + 6y - 2z $ if $ x = -9, y = 2, z = -3 $
$ 4(-9) + 6(2) - 2(-3) = -36 + 12 + 6 = -18 $

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F: $ -9y + 5p + 3z $ if $ y = 7, p = -4, z = 6 $
$ -9(7) + 5(-4) + 3(6) = -63 - 20 + 18 = -65 $

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H: $ 7e - m - 4w $ if $ e = 3, m = -8, w = 1 $
$ 7(3) - (-8) - 4(1) = 21 + 8 - 4 = 25 $

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E: $ 6r + 5d + y $ if $ r = -4, d = -3, y = 8 $
$ 6(-4) + 5(-3) + 8 = -24 -15 + 8 = -31 $

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B: $ 9x - 3y - f $ if $ x = 3, y = 1, f = -8 $
$ 9(3) - 3(1) - (-8) = 27 - 3 + 8 = 32 $

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I: $ -b - 4x + 7g $ if $ b = 2, x = 4, g = 5 $
$ -2 - 4(4) + 7(5) = -2 - 16 + 35 = 17 $

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R: $ -2v + 2h - 8s $ if $ v = 9, h = 7, s = -6 $
$ -2(9) + 2(7) - 8(-6) = -18 + 14 + 48 = 44 $

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Now collect all results:

| Letter | Value |
|--------|-------|
| M | 19 |
| G | -11 |
| P | 15 |
| A | 10 |
| C | 36 |
| N | -79 |
| T | 55 |
| U | -48 |
| S | 12 |
| X | -18 |
| F | -65 |
| H | 25 |
| E | -31 |
| B | 32 |
| I | 17 |
| R | 44 |

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Now look at the code line:

> TITLE: RAPID MULTIPLICATION
>
> Code:
> 44 -48 -79 -79 17 -79 -11 10 44 10 32 32 17 55 -65 10 44 19 17 12 10
> 25 10 44 -31 44 10 17 12 17 -79 -11 -31 -18 15 -31 44 17 -31 -79 36 -31

We will now go through each number in the code and find which letter corresponds to it.

Let’s create a mapping:

- 44 → R
- -48 → U
- -79 → N
- 17 → I
- -11 → G
- 10 → A
- 32 → B
- 55 → T
- -65 → F
- 19 → M
- 12 → S
- 25 → H
- -31 → E
- -18 → X
- 15 → P
- 36 → C

Now let's decode the message:

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First row:
44 → R
-48 → U
-79 → N
-79 → N
17 → I
-79 → N
-11 → G
10 → A
44 → R
10 → A
32 → B
32 → B
17 → I
55 → T
-65 → F
10 → A
44 → R
19 → M
17 → I
12 → S
10 → A

So far:
R U N N I N G A R A B B I T F A R M I S A

Wait — let's write them clearly:

Row 1:
R U N N I N G A R A B B I T F A R M I S A

But that seems off. Let's double-check.

Actually, let's do it step by step.

Decode the first line:

Line 1:
44 → R
-48 → U
-79 → N
-79 → N
17 → I
-79 → N
-11 → G
10 → A
44 → R
10 → A
32 → B
32 → B
17 → I
55 → T
-65 → F
10 → A
44 → R
19 → M
17 → I
12 → S
10 → A

So:
R U N N I N G A R A B B I T F A R M I S A

That’s: RUNNING ARABBITFARMISA — doesn't make sense.

Wait — maybe we're missing something.

Wait — look at the second line:

Line 2:
25 → H
10 → A
44 → R
-31 → E
44 → R
10 → A
17 → I
12 → S
17 → I
-79 → N
-11 → G
-31 → E
-18 → X
15 → P
-31 → E
44 → R
17 → I
-31 → E
-79 → N
36 → C
-31 → E

So:
H A R E R A I S I N G E X P E R I E N C E

Now combine both lines?

Wait — perhaps the entire code is one sentence.

Let’s list all the values and their letters:

We have:
- 44 → R
- -48 → U
- -79 → N
- 17 → I
- -11 → G
- 10 → A
- 32 → B
- 55 → T
- -65 → F
- 19 → M
- 12 → S
- 25 → H
- -31 → E
- -18 → X
- 15 → P
- 36 → C

Now go through the code:

> 44 -48 -79 -79 17 -79 -11 10 44 10 32 32 17 55 -65 10 44 19 17 12 10
> 25 10 44 -31 44 10 17 12 17 -79 -11 -31 -18 15 -31 44 17 -31 -79 36 -31

Now convert:

1. 44 → R
2. -48 → U
3. -79 → N
4. -79 → N
5. 17 → I
6. -79 → N
7. -11 → G
8. 10 → A
9. 44 → R
10. 10 → A
11. 32 → B
12. 32 → B
13. 17 → I
14. 55 → T
15. -65 → F
16. 10 → A
17. 44 → R
18. 19 → M
19. 17 → I
20. 12 → S
21. 10 → A
22. 25 → H
23. 10 → A
24. 44 → R
25. -31 → E
26. 44 → R
27. 10 → A
28. 17 → I
29. 12 → S
30. 17 → I
31. -79 → N
32. -11 → G
33. -31 → E
34. -18 → X
35. 15 → P
36. -31 → E
37. 44 → R
38. 17 → I
39. -31 → E
40. -79 → N
41. 36 → C
42. -31 → E

Now write the sequence:

R U N N I N G A R A B B I T F A R M I S A H A R E R A I S I N G E X P E R I E N C E

Wait — but that’s not quite right. Let's group it.

Looking at the beginning:
RUNNING ARABBITFARMISAHARE RAISING EXPERIENCE

Ah! That's probably:
RUNNING A RABBIT FARM IS A HARE RAISING EXPERIENCE

But “ARABBIT” is likely meant to be “A RABBIT”.

Wait — check positions:

After “RUNNING A”, we have:
R A B B I T → so “RABBIT”

Yes!

So:

- 44 → R
- 10 → A
- 32 → B
- 32 → B
- 17 → I
- 55 → T → So “RABBIT”

Then:
-65 → F
10 → A
44 → R
19 → M
17 → I
12 → S
10 → A → “FARM ISA”

Then:
25 → H
10 → A
44 → R
-31 → E → “HARE”

Then:
44 → R
10 → A
17 → I
12 → S
17 → I
-79 → N
-11 → G → “RAISING”

Then:
-31 → E
-18 → X
15 → P
-31 → E
44 → R
17 → I
-31 → E
-79 → N
36 → C
-31 → E → “EXPERIENCE”

So putting it together:

RUNNING A RABBIT FARM IS A HARE RAISING EXPERIENCE

But that’s a bit awkward.

Wait — maybe it’s:

RUNNING A RABBIT FARM IS A HARE-RAISING EXPERIENCE

Yes! That makes sense.

But wait — the word "HARE" comes from “H A R E” — yes.

And “RAISING” — R A I S I N G

And “EXPERIENCE” — E X P E R I E N C E

So full phrase:

RUNNING A RABBIT FARM IS A HARE-RAISING EXPERIENCE

But the title is “RAPID MULTIPLICATION” — maybe a pun?

Wait — “hare-raising” sounds like “hair-raising”, but here it’s “hare-raising” as a play on words.

But actually, it's “hare-raising” meaning exciting or thrilling, like “hair-raising”, but using “hare” instead.

But more likely, it's a pun: “Rapid multiplication” — rabbits multiply rapidly!

Ah! So the joke is: "Running a rabbit farm is a hare-raising experience!"

Because rabbits reproduce quickly (rapid multiplication), and “hare-raising” is a pun on “hair-raising”.

Perfect!

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✔ Final Answer:

RUNNING A RABBIT FARM IS A HARE-RAISING EXPERIENCE

This is the decoded message.

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Summary:

We evaluated all expressions and matched the results to the numbers in the code. Then we used the corresponding letters to decode the phrase, which is a pun based on rapid reproduction of rabbits.

✔ Answer: RUNNING A RABBIT FARM IS A HARE-RAISING EXPERIENCE