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This worksheet covers Writing Linear Equations from Word Scenarios, which is part of the Linear Equations module in the Middle School Math course. Practice problems are designed to strengthen key concepts and build confidence.
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Set 4 — Mastery
A car rental company charges a flat fee of 50 dollars plus 0.20 dollars per mile driven. What is the equation that represents the total cost, C, in terms of the miles driven, m?
C = 50 + 0.20m
C = 50m + 0.20
C = 0.20m - 50
C = 50 - 0.20m
A subscription service costs 15 dollars per month plus an initial setup fee of 30 dollars. Which equation represents the total cost, T, after x months?
T = 30 + 15x
T = 15 + 30x
T = 15x - 30
T = 30x + 15
An online store sells notebooks for 3 dollars each and charges a shipping fee of 5 dollars. Which of the following equations represents the total cost, C, for purchasing n notebooks?
C = 5 + 3n
C = 3 + 5n
C = 3n - 5
C = 3 + n5
A gardener charges a fee of 25 dollars to start and 10 dollars for each hour worked. What is the equation for the total charge, G, in terms of hours worked, h?
G = 25 + 10h
G = 10 + 25h
G = 25h - 10
G = 10h - 25
A concert ticket costs 40 dollars plus a service fee of 5 dollars. Write the equation for the total cost, T, in terms of the number of tickets, n.
T = 5 + 40n
T = 40 + 5n
T = 40n - 5
T = 40 + 5
A mobile phone plan charges a base fee of 20 dollars and 0.10 dollars for each text message sent. Which equation represents the total cost, P, after sending t text messages?
P = 20 + 0.10t
P = 0.10 + 20t
P = 20t - 0.10
P = 20 - 0.10t
A fitness class costs 12 dollars per session plus a one-time registration fee of 25 dollars. What is the equation that represents the total cost, F, for attending s sessions?
F = 25 + 12s
F = 12 + 25s
F = 25s - 12
F = 12s - 25
A bakery sells cupcakes for 2 dollars each and charges a box fee of 3 dollars. What is the equation for the total cost, B, in terms of the number of cupcakes, c?
B = 3 + 2c
B = 2 + 3c
B = 2c - 3
B = 2 + c3
A tutoring service charges 50 dollars for an initial assessment and 20 dollars for each hour of tutoring. Which equation represents the total cost, T, for h hours of tutoring?
T = 50 + 20h
T = 20 + 50h
T = 50h - 20
T = 50 - 20h
A pizza delivery service has a delivery fee of 4 dollars and charges 1.50 dollars for each pizza ordered. What is the equation for the total cost, D, for ordering p pizzas?
D = 4 + 1.50p
D = 1.50 + 4p
D = 1.50p - 4
D = 1.50 + p4
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