Pre-algebra worksheet with algebraic expressions 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 decode them together.

Let’s write the full code again:

Full 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 decode each:

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 string them together:

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 — that’s not right. But look:

“RUNNING ARABBITFARMISA” — no.

Wait — maybe we have a typo.

Wait — look at position 11 and 12: 32, 32 → B, B → “BB”

But “rabbit” has only one ‘b’? No — rabbit has two b’s? No: R-A-B-B-I-T → yes, two b’s.

But “ARABBIT” — wait — “ARABBIT” is not a word.

Wait — perhaps it’s “RABBIT”?

But we have:

After “RUNNING A”, we have 44 → R, 10 → A, 32 → B, 32 → B, 17 → I, 55 → T → so “RABBIT”

Yes!

So:

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

So:

Positions 9–14: 44, 10, 32, 32, 17, 55 → R A B B I T

Then:
15 → -65 → F
16 → 10 → A
17 → 44 → R
18 → 19 → M
19 → 17 → I
20 → 12 → S
21 → 10 → A → so “FARMISA”?

No — “FARM IS A”?

But “FARM” is: F, A, R, M → positions 15,16,17,18: -65,10,44,19 → F,A,R,M → yes!

Then 19→17 (I), 20→12 (S), 21→10 (A) → “ISA”

So: RABBIT FARM ISA?

Then next: 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)

So:

22–25: H A R E → “HARE”
26–27: R A → “RA”
28–30: I S I → “ISI”
31–32: N G → “NG”
33→E
34→X
35→P
36→E
37→R
38→I
39→E
40→N
41→C
42→E

Wait — this is messy.

Wait — let’s re-express the full decoded string:

From earlier:

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

Now group into words:

- 1–7: R U N N I N G → RUNNING
- 8: A
- 9–14: R A B B I T → RABBIT
- 15–18: F A R M → FARM
- 19–21: I S A → ISA
- 22–25: H A R E → HARE
- 26–32: R A I S I N G → RAISING? Wait: R A I S I N G → but we have R, A, I, S, I, N, G → yes!
- 33: E
- 34: X
- 35: P
- 36: E
- 37: R
- 38: I
- 39: E
- 40: N
- 41: C
- 42: E

Wait — after “RAISING”, we have:

33→E, 34→X, 35→P, 36→E, 37→R, 38→I, 39→E, 40→N, 41→C, 42→E → that’s “EXPERIENCE”

Yes!

So:

- 33–42: E X P E R I E N C E

But 33 is E, 34→X, etc. Yes.

So now:

- RUNNING
- A
- RABBIT
- FARM
- ISA
- HARE
- RAISING
- EXPERIENCE

But “ISA” is odd.

Wait — perhaps it’s “IS A HARE RAISING EXPERIENCE”? That makes sense.

But we have “ISA” as one word?

Wait — look:
After “FARM” (positions 15–18), then:
19→I, 20→S, 21→A → “ISA”
Then 22→H, 23→A, 24→R, 25→E → “HARE”
Then 26→R, 27→A, 28→I, 29→S, 30→I, 31→N, 32→G → “RAISING”
Then 33→E, 34→X, ..., 42→E → “EXPERIENCE”

So the phrase is:

RUNNING A RABBIT FARM IS A HARE RAISING EXPERIENCE

But “ISA” is “IS A” — yes!

So:
“RUNNING A RABBIT FARM IS A HARE RAISING EXPERIENCE”

That’s a pun — because “hare” sounds like “hair”, but also “hare raising” is a pun on “hair-raising”.

But “hare-raising experience” is a play on “hair-raising”.

Perfect!

So the decoded message is:

> RUNNING A RABBIT FARM IS A HARE RAISING EXPERIENCE

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✔ Final Answer:

The decoded message is:
RUNNING A RABBIT FARM IS A HARE RAISING EXPERIENCE

This is a pun on "hair-raising experience", using "hare" instead of "hair".

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Summary of How It Works:

- Evaluate each expression.
- Match the numerical result to the corresponding letter.
- Use those letters to decode the sequence of numbers in the code line.
- The resulting phrase is a humorous play on words.

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