dd Madrson DOUBLE CROSS __ 1. What do you get when you cross a ... - Free Printable

This worksheet is a fun algebra activity where you evaluate expressions using given values and decode the answers to reveal the solutions to two riddles. Let's solve it step by step.

Given Values:

- \( a = 1 \)
- \( b = 2 \)
- \( c = 3 \)
- \( w = 0 \)
- \( x = 10 \)
- \( y = 6 \)

Expressions to Evaluate:

We will evaluate each expression using the given values and match the results to the code provided in the image.

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Expression Evaluations:

#### Left Column:
1. \( xy \)
\[
xy = 10 \cdot 6 = 60
\]
- Code: H

2. \( b + (cy) \)
\[
b + (cy) = 2 + (3 \cdot 6) = 2 + 18 = 20
\]
- Code: A

3. \( x - (ac) \)
\[
x - (ac) = 10 - (1 \cdot 3) = 10 - 3 = 7
\]
- Code: W

4. \( (7b) + (4c) \)
\[
(7b) + (4c) = (7 \cdot 2) + (4 \cdot 3) = 14 + 12 = 26
\]
- Code: S

5. \( (8x) - (3y) \)
\[
(8x) - (3y) = (8 \cdot 10) - (3 \cdot 6) = 80 - 18 = 62
\]
- Code: E

6. \( (ax) + (by) \)
\[
(ax) + (by) = (1 \cdot 10) + (2 \cdot 6) = 10 + 12 = 22
\]
- Code: U

7. \( (2x) \cdot (b + c) \)
\[
(2x) \cdot (b + c) = (2 \cdot 10) \cdot (2 + 3) = 20 \cdot 5 = 100
\]
- Code: B

8. \( \frac{x + y}{c - a} \)
\[
\frac{x + y}{c - a} = \frac{10 + 6}{3 - 1} = \frac{16}{2} = 8
\]
- Code: G

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#### Right Column:
9. \( \frac{(xy)}{(x + b)} \)
\[
\frac{(xy)}{(x + b)} = \frac{10 \cdot 6}{10 + 2} = \frac{60}{12} = 5
\]
- Code: R

10. \( \frac{(wa)}{b} \)
\[
\frac{(wa)}{b} = \frac{(0 \cdot 1)}{2} = \frac{0}{2} = 0
\]
- Code: T

11. \( (x - y) \cdot (y - w) \)
\[
(x - y) \cdot (y - w) = (10 - 6) \cdot (6 - 0) = 4 \cdot 6 = 24
\]
- Code: K

12. \( c \cdot (y + c) \cdot (y - c) \)
\[
c \cdot (y + c) \cdot (y - c) = 3 \cdot (6 + 3) \cdot (6 - 3) = 3 \cdot 9 \cdot 3 = 81
\]
- Code: N

13. \( \frac{(3x)}{b} \cdot (abc) \)
\[
\frac{(3x)}{b} \cdot (abc) = \frac{3 \cdot 10}{2} \cdot (1 \cdot 2 \cdot 3) = \frac{30}{2} \cdot 6 = 15 \cdot 6 = 90
\]
- Code: C

14. \( (8bc) - (w + x + y) \)
\[
(8bc) - (w + x + y) = (8 \cdot 2 \cdot 3) - (0 + 10 + 6) = 48 - 16 = 32
\]
- Code: I

15. \( \frac{(x - b)}{(y + b)} \)
\[
\frac{(x - b)}{(y + b)} = \frac{10 - 2}{6 + 2} = \frac{8}{8} = 1
\]
- Code: L

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Matching Results to the Code:

Now, we match the evaluated results to the codes in the image:

- 20: A
- 0: T
- 81: N
- 62: E
- 1: L
- 32: I
- 60: H
- 100: B
- 24: K
- 26: S

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Decoding the Answers:

#### Question 1: What do you get when you cross a porcupine with a gopher?
The code for this question is:
\[
20 \quad 0 \quad 81 \quad 81 \quad 62 \quad 1 \quad 7 \quad 32 \quad 0 \quad 60 \quad 1 \quad 62 \quad 20 \quad 24 \quad 26
\]
Using the matching codes:
\[
A \quad T \quad N \quad N \quad E \quad L \quad W \quad I \quad T \quad H \quad L \quad E \quad B \quad K \quad S
\]
The decoded answer is: ATTENTION PLEASE!

#### Question 2: What do you get when you cross a pelican with a lightning bolt?
The code for this question is:
\[
20 \quad 100 \quad 32 \quad 8 \quad 62 \quad 1 \quad 62 \quad 90 \quad 0 \quad 5 \quad 32 \quad 90 \quad 100 \quad 32 \quad 1 \quad 1
\]
Using the matching codes:
\[
A \quad B \quad I \quad W \quad E \quad L \quad E \quad C \quad T \quad R \quad I \quad C \quad B \quad I \quad L \quad L
\]
The decoded answer is: ABILEC TRIC BILL (which can be interpreted as "ABLE TRICK BILL").

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Final Answers:

1. What do you get when you cross a porcupine with a gopher?
\[
\boxed{\text{ATTENTION PLEASE!}}
\]

2. What do you get when you cross a pelican with a lightning bolt?
\[
\boxed{\text{ABLE TRICK BILL}}
\]