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 cost in an equation when splitting a bill?

Back

Use the equation x = total cost / number of people.

Front

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

Back

It usually represents an unknown quantity that you need to solve for.

Front

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

Back

It represents the total weight of 5 books, where 'x' is the weight of one book.

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 problem.

Front

How can you set up an equation for a problem involving saving money over time?

Back

Identify the initial amount, the amount saved each week, and the total amount needed, then create an equation.

Front

What is the equation to find the weight of each book if the total weight is 17 pounds and the bag weighs 3 pounds?

Back

5x + 3 = 17.

Front

How do you determine the total bill when each person pays a certain amount?

Back

Multiply the amount each person pays by the number of people.

Front

What does the equation 7 + 9x = 30 represent in a word problem?

Back

It represents the total length of ribbon after cutting off 7 feet and dividing the remaining length into 9 equal parts.

Front

What is the importance of defining variables in word problems?

Back

Defining variables helps clarify what each quantity represents, making it easier to set up equations.