Math Mysteries
🤖 RobotsGrade 9Reading: grades 7-9Two-step equationsExponentsSquare rootsIntegers

The Robo-Expo Blackout

A Rogue Automaton has stolen the experimental Master Spark from the main laboratory, plunging the entire city into darkness. The Chief Inventor needs your help to scan the suspect logs and identify the culprit before the backup battery drains completely.

Suspects

Possible suspects

Cross off a row as each clue rules it out. On screen, tap a row.

21 of 21 still in play
NameMain UtilitySub-RoutineActive PortFiber-Optic ColorSystem Vulnerability
Ada LovelaceTurbo PropulsionNano RepairingRight-Sided PortBlue Fiber OpticsMagnet Clamps
Steve WozniakHydraulic SmashingSolar ShieldingLeft-Sided PortRed Fiber OpticsRust Solvent
Thomas EdisonHydraulic SmashingThermal ImagingLeft-Sided PortRed Fiber OpticsRust Solvent
Albert EinsteinLaser WeldingSolar ShieldingLeft-Sided PortBlue Fiber OpticsRust Solvent
Isaac AsimovLaser WeldingHologram ProjectionRight-Sided PortRed Fiber OpticsWater Splashes
Marie CurieTurbo PropulsionHologram ProjectionLeft-Sided PortRed Fiber OpticsMagnet Clamps
Hedy LamarrLaser WeldingNano RepairingLeft-Sided PortRed Fiber OpticsRust Solvent
Charles BabbageSonic ScreamingSolar ShieldingRight-Sided PortRed Fiber OpticsRust Solvent
Arthur ClarkeLaser WeldingIce SprayingLeft-Sided PortRed Fiber OpticsRust Solvent
Seymour CrayHydraulic SmashingHologram ProjectionLeft-Sided PortRed Fiber OpticsWater Splashes
Norbert WienerMagnetic HoverHologram ProjectionLeft-Sided PortRed Fiber OpticsRust Solvent
Jules VerneMagnetic HoverSolar ShieldingLeft-Sided PortGreen Fiber OpticsMagnet Clamps
Margaret HamiltonTurbo PropulsionIce SprayingRight-Sided PortGreen Fiber OpticsWater Splashes
Ursula Le GuinMagnetic HoverSolar ShieldingRight-Sided PortRed Fiber OpticsMagnet Clamps
Tim Berners LeeLaser WeldingNano RepairingLeft-Sided PortGreen Fiber OpticsRust Solvent
Claude ShannonHydraulic SmashingThermal ImagingLeft-Sided PortBlue Fiber OpticsWater Splashes
George EastmanTurbo PropulsionThermal ImagingLeft-Sided PortGreen Fiber OpticsRust Solvent
Nikola TeslaSonic ScreamingSolar ShieldingLeft-Sided PortGreen Fiber OpticsWater Splashes
Philip DickHydraulic SmashingThermal ImagingLeft-Sided PortGreen Fiber OpticsMagnet Clamps
Rachel CarsonSonic ScreamingHologram ProjectionRight-Sided PortGreen Fiber OpticsWater Splashes
Alan TuringHydraulic SmashingNano RepairingLeft-Sided PortGreen Fiber OpticsWater Splashes
Clue 1

Two-step equations

The main vault door is locked, but a digital screen displays a two-step algebra puzzle. Solving for the missing power variable decodes the first data log.

Solve each problem to learn its letter. Then write that letter in every box that shows the same number, and read the secret clue.

T
17
6
22
2
11
13
13
14
11
20
21
18
22
7
20
18
T
17
15
7
22
11
4
22
7
19
5
14
16
11
20
10
5x + 7 = 92, x =T
2x + 7 = 39, x =Y
5x + 3 = 28, x =R
4x + 3 = 31, x =S
6x + 8 = 134, x =D
4x + 10 = 70, x =U
4x + 2 = 82, x =N
8x + 3 = 35, x =C
4x + 1 = 89, x =E
6x + 12 = 78, x =I
9x + 6 = 123, x =L
6x + 10 = 46, x =H
8x + 12 = 28, x =V
7x + 2 = 128, x =O
9x + 12 = 138, x =A
5x + 11 = 106, x =P
3x + 10 = 40, x =G
0/17 letters found
Clue 2

Exponents

A memory unit is multiplying its error packets exponentially. Calculating the power of the base number allows you to restore the sector and read the file.

Solve each problem to learn its letter. Then write that letter in every box that shows the same number, and read the secret clue.

T
289
32
512
400
81
400
243
512
128
T
289
243
441
81
144
144
512
25
27
100
T
289
484
T
289
32
512
441
512
125
T
289
400
27
25
512
25
243
484
343
T
289
17^2 =T
2^9 =E
3^3 =I
3^5 =P
10^2 =N
7^3 =R
2^7 =C
20^2 =S
12^2 =G
22^2 =O
21^2 =L
3^4 =U
2^5 =H
5^2 =D
5^3 =F
0/15 letters found
Clue 3

Square roots

We locate a square circuit board dropped on the floor. Finding the square root of the total grid area gives us the exact coordinates of the suspect's track.

Solve each problem to learn its letter. Then write that letter in every box that shows the same number, and read the secret clue.

T
21
6
16
13
9
13
T
21
16
24
13
6
5
T
21
18
22
25
12
15
10
22
24
10
5
13
T
21
13
22
8
2
16
12
T
21
sqrt(441) =T
sqrt(576) =M
sqrt(324) =D
sqrt(484) =O
sqrt(625) =W
sqrt(169) =S
sqrt(256) =E
sqrt(144) =N
sqrt(36) =H
sqrt(225) =F
sqrt(25) =U
sqrt(81) =Y
sqrt(4) =V
sqrt(100) =R
sqrt(64) =L
0/15 letters found
Clue 4

Integers

The target fled through the sublevels, moving up and down between positive and negative floors. Tracking the total integer change reveals a hidden log.

Solve each problem to learn its letter. Then write that letter in every box that shows the same number, and read the secret clue.

W
1
12
37
13
11
33
38
40
22
34
3
15
40
13
37
3
12
38
37
36
2
12
3
13
22
17
36
29
40
(-1) + 2 =W
(-15) + 49 =A
9 - (-3) =E
9 - (-6) =K
(-15) + 52 =F
(-5) + 41 =I
18 - (-15) =N
25 - (-15) =S
(-6) + 19 =O
18 - (-11) =C
12 - (-5) =T
(-15) + 53 =D
(-11) + 22 =U
(-14) + 16 =B
8 - (-14) =P
(-11) + 14 =R
0/16 letters found
Clue 5

Two-step equations — the last clue

The final security node is protected by a two-step signal equation. Balancing the formula filters out the electric static so we can decode the final message.

First solve each problem. Then find each answer in the list below and cross that sentence out. One sentence will be left — that's exactly what the villain did!

Step 1 — solve these
5x + 9 = 69, x = ?
2x + 1 = 13, x = ?
4x + 12 = 24, x = ?
6x + 5 = 47, x = ?
9x + 10 = 46, x = ?
2x + 7 = 17, x = ?
7x + 2 = 79, x = ?
7x + 11 = 25, x = ?
7x + 12 = 75, x = ?
7x + 11 = 18, x = ?
4x + 11 = 51, x = ?
Step 2 — cross out the sentence with each answer
1.The villain blasts a laser welding beam, then creates a hologram projection.
2.The villain smashes through with hydraulic power, then fixes itself with nano repairing.
3.The villain blasts a laser welding beam, then fixes itself with nano repairing.
4.The villain escapes with turbo propulsion, then freezes the lock with ice spraying.
5.The villain escapes with turbo propulsion, then creates a hologram projection.
6.The villain hovers with magnetic fields, then creates a hologram projection.
7.The villain blasts a laser welding beam, then scans with thermal imaging.
8.The villain smashes through with hydraulic power, then scans with thermal imaging.
9.The villain hovers with magnetic fields, then freezes the lock with ice spraying.
10.The villain smashes through with hydraulic power, then freezes the lock with ice spraying.
11.The villain blasts a laser welding beam, then activates solar shielding.
12.The villain smashes through with hydraulic power, then activates solar shielding.
Solve it

Name the culprit

Choose the one suspect left standing.

About this mystery

Grade level
Grade 9 math
Math topics
Two-step equations, Exponents, Square roots, Integers
Reading level
grades 7-9
Theme
The Robo-Expo Blackout — set in Robo-City Expo Hall
Format
Interactive online & printable worksheet with answer key
Solution
One unique, verified culprit among 21 suspects

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