Word Problem Examples

• Example 1
• Example 2

An online book company offers different shipping rates for different delivery options. The equations shown below can be used to calculate the total shipping cost, C, for a delivery of x number of books.

Delivery OptionTotal Cost Equation
3 - 5 business daysC = 3 + 0.99x
Within 2 business daysC = 9.99 + 1.99x

Alisha ordered 5 books from the company. How much money does she save, in dollars, if she chooses the first delivery option over the second?

1. Read and understand the situation.
2. Identify and pull out important information from the problem.
3. Assign variables to unknown values.
4. Set up and solve the equation.
5. Check that your answer makes sense within the context of the problem.

Luca's drive to college includes a 260-mile stretch on an interstate highway and at least one hour of driving time off the highway. The maximum speed limit on the highway is 65 miles per hour. The equation below shows the relationship between distance, speed, and time.

Distance = Speed x Time

Assuming Luca drives at a constant speed that is not over the speed limit on the highway, what is Luca's minimum driving time, in hours? Remember to follow our problem solving steps!

Step 1: Read and understand the situation.

Step 2: Identify and pull out important information from the problem.

Step 3: Assign variables to unknown values.

Step 4: Set up and solve the equation.

Step 5: Check that your answer makes sense within the context of the problem.