Solving Real-Life Linear Equations and Word Problems

A car rental company charges a flat fee of $30 plus $0.20 per mile driven. Write an equation to represent the total cost (C) for driving x miles. If a customer paid $50, how many miles did they drive?

• 50 miles

• 80 miles

• 120 miles

• 100 miles

Maria has $120. She spends $15 each week. Write an equation to represent the amount of money (M) she has left after w weeks. How many weeks can she spend money before running out?

• 12 weeks

• 10 weeks

• 8 weeks

• 5 weeks

A gym charges a monthly fee of $25 plus $10 for each class attended. Write an equation for the total cost (T) for attending c classes in a month. If a member paid $75, how many classes did they attend?

• 5

• 3

• 10

• 7

A bookstore sells notebooks for $3 each. If a student buys n notebooks and spends $24, write an equation to represent this situation. How many notebooks did the student buy?

• 6

• 10

• 12

• 8

A gardener charges a flat fee of $50 plus $15 per hour of work. Write an equation for the total cost (C) for h hours of work. If a customer paid $95, how many hours of work did they request?

• 3

• 4

• 5

• 2

A phone plan costs $40 per month plus $0.10 per text message sent. Write an equation for the total cost (C) for sending t text messages. If a customer’s bill was $50, how many text messages did they send?

• 100

• 120

• 75

• 50

A concert ticket costs $45. If a group of friends buys t tickets and spends a total of $180, write an equation to represent this situation. How many tickets did they buy?

• 5

• 4

• 3

• 6

A school is selling tickets for a play at $8 each. If they sold t tickets and made $320, write an equation to represent this situation. How many tickets were sold?

• 40

• 25

• 50

• 30

A delivery service charges a base fee of $5 plus $2 per mile. Write an equation for the total cost (C) for delivering d miles. If a customer paid $13, how many miles did the delivery cover?

• 4 miles

• 2 miles

• 6 miles

• 8 miles

A local bakery sells cupcakes for $2 each. If a customer buys c cupcakes and spends $30, write an equation to represent this situation. How many cupcakes did the customer buy?

• 5

• 10

• 15

• 20