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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 1 — Foundation
A car rental company charges a flat fee of 30 dollars plus 0.20 dollars per mile driven. Which equation represents the total cost, C, in terms of the miles driven, m?
C = 0.20m + 30
C = 30m + 0.20
C = 30m + 30
C = 0.20 + 30m
A subscription service costs 15 dollars a month. If you want to find the total cost, T, after m months, which equation would you use?
T = 15m
T = m + 15
T = 15 + m
T = 15m + 15
A bakery sells cupcakes at 2 dollars each. If you buy c cupcakes, which equation gives the total cost, C?
C = 2c
C = c + 2
C = 2 + c
C = 2c + 2
A gym charges a one-time fee of 50 dollars and 10 dollars per class. Which equation represents the total fee, F, for attending c classes?
F = 10c + 50
F = 50c + 10
F = 50 + 10c
F = 10 + 50c
An online store has a shipping fee of 5 dollars plus 3 dollars for each item purchased. What is the equation representing the total cost, C, in terms of items purchased, i?
C = 3i + 5
C = 5i + 3
C = 5 + 3i
C = 3 + 5i
A plant shop sells potted plants at 8 dollars each. If you buy p plants, which equation gives the total cost, C?
C = 8p
C = p + 8
C = 8 + p
C = 8p + 8
A mobile phone plan costs 25 dollars a month plus 0.10 dollars for each text message sent. Which equation represents the total cost, C, for sending t text messages?
C = 25 + 0.10t
C = 0.10t + 25
C = 25t + 0.10
C = 0.10 + 25t
A concert ticket costs 45 dollars, and there is a processing fee of 5 dollars. If you buy t tickets, what is the equation for the total cost, C?
C = 45t + 5
C = 5 + 45t
C = 45 + 5t
C = 5t + 45
A delivery service charges a fee of 40 dollars plus 2 dollars for each mile driven. Which equation represents the total delivery cost, D, in terms of miles driven, m?
D = 2m + 40
D = 40 + 2m
D = 40m + 2
D = 2 + 40m
A school charges a 100 dollar registration fee plus 20 dollars per class for a workshop. What is the equation for the total cost, W, in terms of classes taken, c?
W = 20c + 100
W = 100c + 20
W = 100 + 20c
W = 20 + 100c
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