Writing Equations from Word Problems

Front

What is the first step in writing an equation from a word problem?

Back

Identify the variables and what they represent in the context of the problem.

Front

How do you represent a total length in an equation?

Back

Use the equation format: total length = number of items × length of each item.

Front

What does the variable 'x' typically represent in equations derived from word problems?

Back

The variable 'x' usually represents an unknown quantity that you need to solve for.

Front

In the equation 3(x + 5) = 17, what does '3' represent?

Back

The '3' represents the number of identical rectangles.

Front

How do you set up an equation for a situation where a total amount is decreased by a certain value?

Back

Use the format: total amount - value = remaining amount.

Front

What is the equation for finding the weight of each book if the total weight is known?

Back

Use the equation: total weight = (number of books × weight of each book) + weight of the empty bag.

Front

What does the equation 350 = 270 + 8h represent in Jim's work problem?

Back

It represents the total earnings as the sum of tips and hourly wages multiplied by hours worked.

Front

How can you express a situation where a person saves money over time?

Back

Use the equation: total savings = initial amount + (amount saved per week × number of weeks).

Front

What is a tape diagram and how is it used in word problems?

Back

A tape diagram is a visual representation that helps to illustrate the relationships between quantities in a word problem.

Front

What is the importance of checking your equation after writing it from a word problem?

Back

Checking ensures that the equation accurately represents the situation described in the problem.