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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 5 — Mastery
A movie ticket costs 12 dollars and a snack costs 5 dollars. If you buy x tickets and y snacks, which equation represents the total cost being 60 dollars?
12x + 5y = 60
5x + 12y = 60
12x - 5y = 60
5x - 12y = 60
A car rental company charges a flat fee of 50 dollars plus 0.20 dollars per mile driven. What equation represents the total cost C for driving m miles?
C = 0.20m + 50
C = 50m + 0.20
C = 50 + 0.20m
C = 0.20 + 50m
A gardener charges 30 dollars to plant flowers and 15 dollars for maintenance. If x is the number of planting services and y is the number of maintenance services, what equation represents a total of 150 dollars?
30x + 15y = 150
15x + 30y = 150
30x - 15y = 150
15x - 30y = 150
A bookstore sells notebooks for 3 dollars each and pens for 2 dollars each. If you buy n notebooks and p pens, which equation represents spending 30 dollars?
3n + 2p = 30
2n + 3p = 30
3n - 2p = 30
2n - 3p = 30
A phone company charges a monthly fee of 25 dollars and 0.10 dollars for each text message sent. What equation represents the total bill B for sending t text messages?
B = 0.10t + 25
B = 25t + 0.10
B = 25 + 0.10t
B = 0.10 + 25t
A delivery service charges 15 dollars for the first mile and 5 dollars for each additional mile. Which equation represents the total cost C for delivering d miles?
C = 15 + 5(d - 1)
C = 5d + 15
C = 15d + 5
C = 5 + 15d
A subscription service costs 20 dollars per month and 0.50 dollars for each song download. What equation represents the total cost T for downloading s songs?
T = 20 + 0.50s
T = 0.50s + 20
T = 20s + 0.50
T = 0.50 + 20s
A parking garage charges 10 dollars for the first hour and 2 dollars for each additional hour. What equation gives the total cost P for parking for h hours?
P = 10 + 2(h - 1)
P = 2h + 10
P = 10h + 2
P = 2 + 10h
An electrician charges 50 dollars for a service call and 25 dollars per hour. What equation represents the total cost E for h hours of work?
E = 50 + 25h
E = 25h + 50
E = 50h + 25
E = 25 + 50h
A fitness class charges a registration fee of 40 dollars and 10 dollars per session. If you attend s sessions, what equation represents the total cost F?
F = 10s + 40
F = 40 + 10s
F = 40s + 10
F = 10 + 40s
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