Linear Function Word Problems Worksheet

Linear function word problems can be challenging for students to master, as they require a strong understanding of equations and the ability to apply them to real-life scenarios. If you're looking for a practical and comprehensive resource to help your students practice these skills, this Linear Function Word Problems Worksheet is the perfect solution! Designed for high school students or those studying algebra, this worksheet focuses on developing the ability to assign variables, create equations, and solve linear functions based on given scenarios.

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A car rental company charges a flat fee of $30 plus $0.20 per mile. How much will it cost to rent a car for 100 miles?

To rent a car for 100 miles, you would pay a flat fee of $30 plus $0.20 per mile for the distance traveled. So, for 100 miles, the cost would be $30 + (100 miles * $0.20) = $30 + $20 = $50.

A store sells shirts at $25 each. If the store makes $500 in sales, how many shirts were sold?

To find out how many shirts were sold, we can divide the total sales revenue by the price of each shirt: $500 divided by $25 = 20 shirts were sold.

The price of a concert ticket is $50. What will be the total cost if a group of 4 friends attends the concert?

The total cost for a group of 4 friends attending the concert would be $200 ($50 per ticket x 4 tickets).

A taxi charges a base fare of $5 and an additional $0.75 per mile. How much will it cost for a 10-mile trip?

For a 10-mile trip, the cost would be the base fare plus the cost per mile multiplied by the distance traveled. Therefore, the cost would be $5 (base fare) + ($0.75/mile x 10 miles) = $5 + $7.50 = $12.50 for a 10-mile trip.

A store offers a 10% discount on all purchases. If an item is originally priced at $80, what is the discounted price?

The discounted price of the item would be $72, which is 10% less than the original price of $80.

A runner is training for a marathon and runs 5 miles every day. How far will the runner have run after 1 week?

After running 5 miles every day for 7 days in a week, the runner will have run a total of 35 miles in one week.

A company produces 500 units of a product each day. How many units will be produced in 2 weeks?

In 2 weeks, the company will produce 7 days/week x 2 weeks = 14 days. Therefore, in 2 weeks, the company will produce 500 units/day x 14 days = 7000 units of the product.

A car can travel 30 miles per gallon of fuel. How far can the car travel with a full tank of 15 gallons?

The car can travel 450 miles with a full tank of 15 gallons.

The length of a rectangular garden is twice its width. If the perimeter of the garden is 36 feet, what are the dimensions of the garden?

Let the width of the garden be \(x\) feet. Therefore, the length of the garden is \(2x\) feet. The perimeter of a rectangle is given by \(2l+2w\), where \(l\) is the length and \(w\) is the width. In this case, we have \(2(2x) + 2x = 36\). Simplifying the equation gives us \(6x = 36\), leading to \(x = 6\). Therefore, the width of the garden is 6 feet and the length is 12 feet.

A student earns $8 per hour for tutoring. How much money will the student earn for 15 hours of tutoring?

The student will earn $120 for 15 hours of tutoring, as $8 per hour multiplied by 15 hours equals $120.