Understanding Variables in Word Problems

This video tutorial explains how to write equations from word problems by following three steps: identifying and defining the variable, creating a variable expression, and setting the expression equal to the total. The tutorial includes examples such as calculating the cost of necklaces and determining the number of dogs walked in a business scenario. A practice problem about car payments is also provided to reinforce learning.

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

• Identify and define the variable

• Solve the equation

• Graph the equation

• Check the solution

What does it mean to identify the variable in a word problem?

• To determine the unknown quantity

• To graph the equation

• To find the known values

• To solve the equation

What is the purpose of creating a variable expression?

• To determine the operations on the variable

• To graph the equation

• To solve the equation

• To check the solution

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

• Identify the variable

• Create a variable expression

• Set the expression equal to the total

• Solve the equation

In the necklace problem, what does 'x' represent?

• The amount of money left

• The cost of one necklace

• The number of necklaces

• The total money spent

How is the cost of three necklaces represented in the equation?

• 3 + x

• x + 3

• 3 - x

• 3x

In Ashley's dog walking business, what does 'x' represent?

• The cost per dog

• The number of dogs walked

• The total earnings

• The cost of water

What is the constant in Ashley's dog walking equation?

• x

• 6

• 13

• 97

In Elijah's car payment problem, what does 'x' represent?

• The down payment

• The number of months

• The monthly payment

• The total cost of the car

What is the equation for Elijah's car payment problem?

• 5000x + 600 = 25000

• 600x + 5000 = 25000

• 600x = 25000

• 5000 + 600x = 25000