7th 3.B Word Problems

Front

What is a word problem in mathematics?

Back

A word problem is a mathematical problem that is presented in the form of a narrative or story, requiring the reader to extract relevant information and formulate a mathematical equation to find a solution.

Front

How do you determine the total time a printer has been running if you know the pages printed and the rate of printing?

Back

To find the total time, divide the total number of pages printed by the rate of printing (pages per minute). For example, if a printer prints 10 pages per minute and has printed 115 pages, the time is 115 / 10 = 11.5 minutes.

Front

What equation represents the total cost of an event with a fixed entry fee and variable ticket costs?

Back

The equation is of the form: Fixed Fee + (Cost per Ticket * Number of Tickets) = Total Cost.

Front

If a coach charges a fixed amount per hour plus a tip, how can you represent the total cost mathematically?

Back

The total cost can be represented by the equation: (Hourly Rate * Number of Hours) + Tip = Total Cost.

Front

What is the formula to calculate the total cost of services when there is a base charge and an hourly rate?

Back

The formula is: Total Cost = Base Charge + (Hourly Rate * Number of Hours Worked).

Front

How do you set up an equation for a gym membership that includes a one-time fee and monthly payments?

Back

The equation is: One-Time Fee + (Monthly Payment * Number of Months) = Total Amount Paid.

Front

What does the variable 'x' typically represent in a word problem involving costs?

Back

In word problems, 'x' often represents the number of items or hours that are being calculated to find the total cost.

Front

How can you solve for 'x' in an equation like 11x + 6 = 39?

Back

To solve for 'x', first subtract 6 from both sides to get 11x = 33, then divide both sides by 11 to find x = 3.

Front

What is the significance of understanding the context of a word problem?

Back

Understanding the context helps in identifying the relevant information and determining the correct mathematical operations needed to solve the problem.

Front

How do you interpret the solution of a word problem?

Back

Interpreting the solution involves translating the numerical answer back into the context of the problem to ensure it makes sense in real-world terms.