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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 2 — Foundation
A car rental company charges a flat fee of 20 dollars plus 0.15 dollars per mile driven. What is the equation that represents the total cost, C, of renting a car after driving m miles?
C = 0.15m + 20
C = 20m + 0.15
C = 20 + m
C = 15 + 20m
A bakery sells cupcakes for 3 dollars each. If you buy x cupcakes, what equation represents the total cost, T, of the cupcakes?
T = 3x
T = x + 3
T = 3 + x
T = 3x + 1
A phone company charges a monthly fee of 25 dollars plus 0.10 dollars for each text sent. What is the equation for the total monthly bill, B, based on the number of texts, t?
B = 0.10t + 25
B = 25 + 0.10t
B = 10t + 25
B = 25t + 0.10
A gym membership costs 50 dollars per month. If you plan to go to the gym for m months, what equation represents the total cost, G?
G = 50m
G = m + 50
G = 50 + m
G = 50m + 1
A bookstore sells novels for 12 dollars each. What equation gives the total amount spent, S, after purchasing n novels?
S = 12n
S = n + 12
S = 12 + n
S = 12n + 5
A taxi charges a base fare of 2 dollars and an additional 0.50 dollars for each mile driven. What is the equation for the total fare, F, after driving d miles?
F = 0.50d + 2
F = 2 + 0.50d
F = 50d + 2
F = 2d + 0.50
A concert ticket costs 45 dollars. If you buy t tickets, what equation represents the total cost, C?
C = 45t
C = t + 45
C = 45 + t
C = 45t + 10
A subscription service charges 15 dollars per month. If you subscribe for m months, what is the equation for the total cost, C?
C = 15m
C = m + 15
C = 15 + m
C = 15m + 5
A delivery service charges a flat rate of 10 dollars plus 2 dollars for each package delivered. What equation represents the total charge, T, for delivering p packages?
T = 2p + 10
T = 10 + 2p
T = 10p + 2
T = 2 + 10p
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A computer rental company charges 50 dollars for the first day and 15 dollars for each additional day. What is the equation for the total cost, C, after renting for d days?
C = 15d + 50
C = 50d + 15
C = 50 + d
C = 50d + 15