Solving Real-Life Linear Equations and Distributive Property

A store sells x notebooks for $p each and has a total revenue of $r. If the store also has a fixed cost of $q, write the equation px + q = r. How many notebooks did the store sell if p = 2, q = 10, and r = 50?

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A gardener is planting x rows of flowers. Each row requires p bags of soil, and the total cost of soil is $r. If the gardener spends $q on other supplies, write the equation px + q = r. If p = 5, q = 20, and r = 100, how many rows of flowers are planted?

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A car rental company charges a flat fee of $q plus $p per mile driven. If a customer drives x miles and pays a total of $r, write the equation px + q = r. If p = 0.50, q = 15, and r = 45, how many miles did the customer drive?

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A recipe requires p cups of flour for each batch of cookies. If you want to make x batches and have q cups of flour, write the equation p(x + q) = r. If p = 2, q = 3, and r = 20, how many batches can you make?

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A school is organizing a field trip. The cost per student is p, and there is a fixed cost of q for the bus. If the total cost is r, write the equation px + q = r. If p = 10, q = 50, and r = 200, how many students are going?

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A painter charges a flat fee of $q plus $p per hour. If a job takes x hours and the total cost is $r, write the equation px + q = r. If p = 25, q = 100, and r = 300, how many hours did the painter work?

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A gym charges a monthly fee of $q and $p for each class attended. If a member attends x classes and pays a total of $r, write the equation px + q = r. If p = 15, q = 30, and r = 120, how many classes did the member attend?

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A delivery service charges a base fee of $q plus $p per mile. If a customer pays $r for a delivery of x miles, write the equation px + q = r. If p = 2, q = 5, and r = 25, how many miles was the delivery?

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A concert venue sells tickets for $p each and has a fixed cost of $q for the event. If the total revenue is $r, write the equation px + q = r. If p = 20, q = 200, and r = 1000, how many tickets were sold?

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