Word problems with equations

Front

What is a word problem?

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 an equation to solve it.

Front

What does it mean to solve an equation?

Back

To solve an equation means to find the value of the variable that makes the equation true, typically isolating the variable on one side of the equal sign.

Front

What is the equation for calculating total earnings based on hourly wage?

Back

Total Earnings = Hourly Wage × Hours Worked.

Front

How do you represent a situation where a fixed cost is added to a variable cost?

Back

You can represent it with an equation like: Total Cost = Fixed Cost + (Variable Cost per Unit × Number of Units).

Front

What is the first step in solving a word problem?

Back

The first step is to read the problem carefully and identify the key information and what is being asked.

Front

How do you check if your solution to an equation is correct?

Back

You can check your solution by substituting the value back into the original equation to see if both sides are equal.

Front

What does 'x is by itself on one side of the equal sign' mean?

Back

It means that the variable x has been isolated, and no other terms are added or subtracted from it on that side of the equation.

Front

What is the equation for calculating temperature drop over time?

Back

Temperature = Initial Temperature - (Rate of Drop × Time).

Front

How do you set up an equation for a scenario involving hourly charges?

Back

You can set it up as: Total Charge = Hourly Rate × Hours Worked + Fixed Charges.

Front

What is the importance of identifying variables in a word problem?

Back

Identifying variables helps to translate the problem into a mathematical equation, making it easier to solve.