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 find a solution.

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 equation.

Front

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

Back

Total Earnings = Hourly Wage × Hours Worked.

Front

How do you set up an equation from a word problem?

Back

Identify the unknown variable, translate the words into mathematical expressions, and set up an equation that represents the situation described.

Front

What does it mean for a variable to be isolated in an equation?

Back

A variable is isolated when it is alone on one side of the equation, allowing you to determine its value.

Front

If Mary earns $14 per hour, how many hours does she work to earn $112?

Back

14h = 112, so h = 8 hours.

Front

What is the first step in solving the equation 73 - 2h = 65?

Back

Subtract 65 from 73 to isolate the term with the variable: 2h = 73 - 65.

Front

How do you determine if an equation is solved?

Back

An equation is solved when the variable is isolated on one side, and no further operations are needed.

Front

What is the equation to find the number of teddy bears to sell to cover costs?

Back

1500 + 8t = 12t, where t is the number of teddy bears.

Front

What does 'per hour' indicate in a word problem?

Back

'Per hour' indicates a rate, meaning the amount earned or spent for each hour of work or activity.