Two-Step Equation Word Problems

Front

What does the initial fee represent in a service charge scenario?

Back

The initial fee is a fixed amount charged for a service before any additional costs, such as hourly rates, are added.

Front

What is a unit rate?

Back

A unit rate is a ratio that compares a quantity to one unit of another quantity, often expressed as 'per' something, like 'per hour' or 'per item'.

Front

Write an equation for a scenario where a service charge includes a fixed fee and a variable hourly rate.

Back

The equation can be represented as: Total Cost = (Hourly Rate × Hours Worked) + Initial Fee.

Front

If a printer prints 10 pages per minute and has 35 pages already, how do you calculate the total pages printed after a certain time?

Back

Total Pages Printed = (Pages Printed per Minute × Minutes) + Initial Pages.

Front

How do you determine the number of hours worked if you know the total bill and the rates charged?

Back

You can rearrange the equation: Total Bill = (Hourly Rate × Hours Worked) + Initial Fee to solve for Hours Worked.

Front

What is the purpose of setting up an equation in a word problem?

Back

Setting up an equation helps to translate the problem into a mathematical format that can be solved to find unknown values.

Front

How do you identify the variable in a two-step equation?

Back

The variable is usually represented by a letter (like x) and represents the unknown quantity you are trying to find.

Front

What does it mean to solve a two-step equation?

Back

Solving a two-step equation means finding the value of the variable that makes the equation true.

Front

If Scott charges $35 for each car and $7 per hour, how would you express his total charge for x hours?

Back

Total Charge = 7x + 35.

Front

In the equation 7x + 35 = 63, what does 'x' represent?

Back

In this equation, 'x' represents the number of hours worked.