Question

passcode #1

1. 32 = x + 18
2. 3x = 48
3. x - 17 = 8
4. \\(\frac{x}{5} = 10\\)
5. 15 = x - 23
6. 8x = 72

directions: complete the questions, match each answer on the decoder ring, and record the letter from the spot. when complete, go back to the mission page to receive the passcode from the teacher to check your answer and solve another part of the mission.
decoder ring
record passcode
#1 #2 #3 #4 #5

Explanation:

Step1: Isolate x, subtract 18

$32 - 18 = x$
$x = 14$

Step2: Isolate x, divide by 3

$x = \frac{48}{3}$
$x = 16$

Step3: Isolate x, add 17

$x = 8 + 17$
$x = 25$

Step4: Isolate x, multiply by 5

$x = 10 \times 5$
$x = 50$

Step5: Isolate x, add 23

$x = 15 + 23$
$x = 38$

Step6: Isolate x, divide by 8

$x = \frac{72}{8}$
$x = 9$

Answer:

1. $x=14$ (matches letter S)
2. $x=16$ (matches letter A)
3. $x=25$ (matches letter Y)
4. $x=50$ (matches letter R)
5. $x=38$ (matches letter M)
6. $x=9$ (matches letter O)

Passcode: S A Y R M O