Cosmic Cargo Worksheet NASA Payload Operations
Level 1: Space Mission
COSMIC CARGO BALANCE
Name:
Date:
Mission Brief: Welcome, Payload Specialist! We must balance the rocket's booster units and cargo modules before launch. Solve each equation below to find the unknown cargo weights (x) and ensure safe orbit!
1 BOOSTER COUPLING: Balance the Engine Pods
Eq: 2x + 8 = 24
Two identical modules x plus an 8-ton adapter bracket equals 24 tons.
Scale Model
x
x
8
＝
24 t
Equation: 2x + 8 = 24
Subtract 8: 2x = 24 − 8 → 2x =
Divide: x = / 2 → x =
2 SATELLITE POD MASS: Deploying the Array
Eq: 3x + 15 = 45
Three solar capsules x combined with a 15-ton antenna total 45 tons.
Bar Segment Model
x
x
x
15
↕
Total: 45
Equation: 3x + 15 = 45
Subtract 15: 3x = 45 − 15 → 3x =
Divide: x = / 3 → x =
3 PROPELLANT TANK PRESSURE: Cold Fuel Comp
Eq: 4x − 12 = 28
Four adjustments x minus a 12-PSI vent loss equals 28 PSI.
Flowchart
4x −12 → 28
INVERSE OPERATION:
28 +12 → 40
Equation: 4x − 12 = 28
Add 12: 4x = 28 + 12 → 4x =
Divide: x = / 4 → x =
4 GRAVITY THRUST RATE: Stabilizer Balance
Eq: 5x + 2 = 32
Five secondary engines x plus 2 stabilizer units equal 32 units.
Block Model
x
x
x
x
x
5 columns of x + 2 = 32
Equation: 5x + 2 = 32
Subtract 2: 5x = 32 − 2 → 5x =
Divide: x = / 5 → x =
5 LAUNCH CONTROL FORMULA: Solving for Payload
Formula: T = 10x + 50
Total weight T is 10 times payload x plus 50 tons of fuel. Find x if T = 120.
Formula Plug-In
120 = 10x + 50
Find the pods x!
Set up: 120 = 10x + 50
Subtract 50: 120 − 50 = 10x → = 10x
Divide: x = / 10 → x =
Show your inverse operation work in each designated box.
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Neon Arcade Worksheet Arcade Manager HQ
Level 2: Pixel Quest
NEON ARCADE TICKET MATH
Name:
Date:
Arcade Briefing: Welcome to the management team! We need to calibrate our game token rates and reward structures for the grand opening. Solve the multi-step equations to balance ticket formulas and prize packages!
1 CONTROLLER CALIBRATION: Prize Package Balance
Eq: 3x + 10 = 40
Three special keychains x plus a 10-token bonus card equal 40 tokens total.
Scale Balance
x
x
x
10
＝
40 t
Equation: 3x + 10 = 40
Subtract 10: 3x = 40 − 10 → 3x =
Divide: x = / 3 → x =
2 TICKET PACK: Winning the Mega Prize
Eq: 5x − 25 = 100
Five booster cards x minus a 25-ticket registration fee is 100 tickets.
Tape Diagram
5x (Total Segment)
Minus: 25 Result: 100
5x = 100 + 25
Equation: 5x − 25 = 100
Add 25: 5x = 100 + 25 → 5x =
Divide: x = / 5 → x =
3 TOKEN CHARGE: Base Game Cost
Eq: 2x + 12 = 30
Two custom avatars x plus 12 baseline arcade points totals 30 tokens.
Flowchart
2x +12 → 30
INVERSE OPERATION:
30 −12 → 18
Equation: 2x + 12 = 30
Subtract 12: 2x = 30 − 12 → 2x =
Divide: x = / 2 → x =
4 VIP POWER-UP: Leveling the Character Stats
Eq: 4x + 18 = 50
Four level upgrades x plus 18 baseline health points equals 50 total health.
Block Segment Model
x
x
x
x
4 segments of x + 18 = 50
Equation: 4x + 18 = 50
Subtract 18: 4x = 50 − 18 → 4x =
Divide: x = / 4 → x =
5 PRIZE COUNTER FORMULA: Tickets for Treats
Formula: T = 20x + 15
Total tickets T is 20 times the number of candy bags x plus 15 for a custom badge. Find x if T = 95.
Formula Setup
95 = 20x + 15
Find the candy count x!
Set up: 95 = 20x + 15
Subtract 15: 95 − 15 = 20x → = 20x
Divide: x = / 20 → x =
Show your inverse operation work in each designated box.
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Deep Dive Worksheet Marine Science Vessel
Level 3: Deep Sea
DEEP DIVE DEPTH TRACKER
Name:
Date:
Submersible Mission: Oceanographers, prepare for descent! As we pilot our research vessel down the continental slope, we must monitor pressure chambers and oxygen flow rates. Solve the multi-step equations to ensure a safe voyage!
1 SUBMERSIBLE DESCENT: Balancing the Ballast
Eq: 2d + 40 = 100
Two identical descent bursts d plus an initial baseline depth of 40 meters equal 100 meters deep.
Scale Balance
d
d
40
＝
100 m
Equation: 2d + 40 = 100
Subtract 40: 2d = 100 − 40 → 2d =
Divide: d = / 2 → d =
2 CORAL REEF PRESSURE: Compensating Vent Release
Eq: 3p − 10 = 50
Three depth-pressure units p minus a 10-kPa surface safety factor equals 50 kPa.
Tape Diagram
3p (Total Segment)
Minus: 10 Result: 50
3p = 50 + 10
Equation: 3p − 10 = 50
Add 10: 3p = 50 + 10 → 3p =
Divide: p = / 3 → p =
3 OXYGEN FLOW RATE: Regulator Maintenance
Eq: 4x + 15 = 55
Four cabin flow tubes x plus 15 PSI of tank reservoir pressure equal 55 PSI.
Flowchart
4x +15 → 55
INVERSE OPERATION:
55 −15 → 40
Equation: 4x + 15 = 55
Subtract 15: 4x = 55 − 15 → 4x =
Divide: x = / 4 → x =
4 OCEAN TRENCH SCOUTING: Probing the Abyss
Eq: 5d + 20 = 170
Five deep sound probes d plus 20 meters of tether cable equals 170 meters of distance.
Block Segment Model
d
d
d
d
d
5 segments of d + 20 = 170
Equation: 5d + 20 = 170
Subtract 20: 5d = 170 − 20 → 5d =
Divide: d = / 5 → d =
5 DIVING DEPTH FORMULA: Sub Descent Curve
Formula: D = 12x + 30
Total Depth D is 12 times dive duration x plus 30 meters continental shelf. Find x if D = 150.
Formula Setup
150 = 12x + 30
Find the minutes x!
Set up: 150 = 12x + 30
Subtract 30: 150 − 30 = 12x → = 12x
Divide: x = / 12 → x =
Show your inverse operation work in each designated box.
Pet Patrol Worksheet Rescue Team Coordinator
Level 4: Animal Rescue
PET PATROL PLAY PENS
Name:
Date:
Rescue Briefing: Calling all Animal Rescue Managers! We are expanding our shelter. We need to construct new perimeter fencing for the play runs and calculate weekly feed budgets for the puppies. Solve the equations below to help our furry friends!
1 DOG RUN PERIMETER: Finding the Width
Eq: 2w + 30 = 80
Two widths w plus 30 meters of length fence equal 80 meters of total fencing.
Pen Layout
Length: 15m
Length: 15m
w
w
Total Perimeter = 80m
Equation: 2w + 30 = 80
Subtract 30: 2w = 80 − 30 → 2w =
Divide: w = / 2 → w =
2 CAT CONDO MODULES: Stacking the Towers
Eq: 3h + 12 = 36
Three identical wall modules h plus a 12-inch base stand measure 36 inches.
Tape Diagram
3h (Stacked Module)
Plus Base: 12 Total: 36 in
3h = 36 − 12
Equation: 3h + 12 = 36
Subtract 12: 3h = 36 − 12 → 3h =
Divide: h = / 3 → h =
3 KIBBLE INVENTORY: Stock Deductions
Eq: 4s − 8 = 32
Four new sacks of kibble s minus 8 pounds used leaves 32 pounds in storage.
Flowchart
4s −8 → 32
INVERSE OPERATION:
32 +8 → 40
Equation: 4s − 8 = 32
Add 8: 4s = 32 + 8 → 4s =
Divide: s = / 4 → s =
4 PLAY YARD POSTS: Evenly Spacing the Rails
Eq: 5x + 10 = 60
Five equal fence panels x plus 10 meters of corner gates totals 60 meters.
Block Segment Model
x
x
x
x
x
5 segments of x + 10 = 60
Equation: 5x + 10 = 60
Subtract 10: 5x = 60 − 10 → 5x =
Divide: x = / 5 → x =
5 SHELTER BUDGET FORMULA: Feeding Calculations
Formula: C = 8x + 25
Total weekly cost C is $8 per dog x plus a $25 base medical supply fee. Find x if C = 105.
Formula Setup
105 = 8x + 25
Find the dog count x!
Set up: 105 = 8x + 25
Subtract 25: 105 − 25 = 8x → = 8x
Divide: x = / 8 → x =
Show your inverse operation work in each designated box.
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Bakery Boss Worksheet Kitchen Management HQ
Level 5: Culinary Master
BAKERY BOSS CAKE MATH
Name:
Date:
Bakery Briefing: Welcome, Head Baker! We have a busy day of custom pastry orders ahead. We must balance our heavy flour weights and verify the profit margins on specialty cake orders. Solve the equations below to complete today's baking prep!
1 FLOUR INVENTORY: Scaling the Dough Bags
Eq: 2f + 12 = 42
Two identical bags of organic flour f plus a 12-lb counter container equal 42 lbs.
Kitchen Scale
f
f
12
＝
42 lbs
Equation: 2f + 12 = 42
Subtract 12: 2f = 42 − 12 → 2f =
Divide: f = / 2 → f =
2 FROSTING BATCHES: Reducing Leftover Cupcups
Eq: 3c − 6 = 24
Three wholesale icing boxes c minus 6 cups used leaves exactly 24 cups.
Tape Diagram
3c (Frosting Slices)
Minus: 6 Result: 24
3c = 24 + 6
Equation: 3c − 6 = 24
Add 6: 3c = 24 + 6 → 3c =
Divide: c = / 3 → c =
3 YEAST TEMPERATURE: Proving Chamber Heat
Eq: 4t + 10 = 50
Four thermal proving steps t plus a 10-degree starting warmth equal 50 degrees.
Flowchart
4t +10 → 50
INVERSE OPERATION:
50 −10 → 40
Equation: 4t + 10 = 50
Subtract 10: 4t = 50 − 10 → 4t =
Divide: t = / 4 → t =
4 CUPCAKE DISPLAY: Tray Allocations
Eq: 5x + 15 = 90
Five equal trays x plus 15 individual cookies on top totals 90 items.
Grid Trays
x
x
x
x
x
5 trays of x + 15 = 90
Equation: 5x + 15 = 90
Subtract 15: 5x = 90 − 15 → 5x =
Divide: x = / 5 → x =
5 BAKERY REVENUE FORMULA: Cake Sales Profit
Formula: P = 4x − 50
Net Profit P is $4 profit per wedding tart x minus $50 supply cost. Find x if P = 110.
Formula Setup
110 = 4x − 50
Find the tart count x!
Set up: 110 = 4x − 50
Add 50: 110 + 50 = 4x → = 4x
Divide: x = / 4 → x =
Show your inverse operation work in each designated box.
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