Exploring System of Equations Word Problems

This video tutorial covers solving system of equations word problems by defining variables, setting up equations, and solving them. It includes examples involving the cost of hats and scarves, and ticket sales, demonstrating how to find unknown prices using algebraic methods.

What is the first step in solving a system of equations word problem?

• Check the answer

• Guess the solution

• Identify the important facts

• Graph the equations

If Ariel bought two hats and two scarves for $60, and Bella bought one hat and two scarves for $44, what is the next step after identifying the important facts?

• Solve the equations

• Define the variables

• Check the solution

• Graph the equations

In the first example, what does the variable 'H' represent?

• The cost of one scarf

• The total cost

• The number of hats

• The cost of one hat

What is the equation for Ariel's purchase in the first example?

• H + 2S = 44

• 2H + 2S = 60

• H + S = 60

• 2H + S = 44

After finding the cost of one hat in the first example, what is the next step?

• Check the solution

• Find the cost of one scarf

• Graph the equations

• Define new variables

In the second example, what are the variables 'A' and 'S' used to represent?

• The total earnings

• The price of an adult ticket and a student ticket

• The number of tickets sold

• The number of days

What is the equation for the first day's ticket sales in the second example?

• 2S + 3A = 52

• 3S + 2A = 52

• 3S + A = 38

• S + 3A = 38

How do you eliminate one of the variables when solving the system of equations in the second example?

• Divide one equation by a constant

• Subtract the equations

• Multiply one equation by a constant

• Add the equations directly

What is the cost of an adult ticket in the second example?

• $8

• $14

• $24

• $16

What is the final step after finding the cost of an adult ticket in the second example?

• Graph the equations

• Find the cost of a student ticket

• Define new variables

• Check the solution