Solving Multi-Step Equations with Grouping Symbols

This video tutorial covers the process of writing and solving multi-step linear equations with rational coefficients. It includes real-world examples such as calculating costs for zoo tickets, determining the dimensions of a garden, and finding the width of a hallway. The tutorial emphasizes the use of the distributive property and combining like terms to solve these equations. Students will learn to apply these concepts to practical problems, enhancing their understanding of algebraic equations.

What is the first step in solving the problem about zoo tickets and wristbands?

• Calculate the total cost for each group.

• Set up an equation for each group.

• Find the difference in costs between the groups.

• Determine the number of friends in each group.

In the zoo ticket problem, what does the variable 'T' represent?

• The number of friends in the group.

• The total cost of wristbands.

• The total cost of the locker.

• The cost of a zoo ticket.

What is the equation used to represent the width of the garden in Example 1?

• L - 11.5

• 2L - 11.5

• L + 11.5

• 2L + 11.5

How do you check the solution for the length of the garden?

• By substituting it back into the perimeter equation.

• By comparing it to the width.

• By using a different variable.

• By measuring the garden.

What is the first step in solving for the width of the hallway?

• Set up an equation for the width.

• Set up an equation for the length.

• Calculate the perimeter.

• Combine like terms.

What is the width of the hallway?

• 5 feet

• 6 feet

• 7 feet

• 4 feet

In Example 2, what does the variable 'X' represent?

• The total cost for the field trip.

• The entry fee to the Science Center.

• The number of students.

• The cost of the 3D movie.

How do you verify the solution for the Science Center entry fee?

• By using a different variable.

• By measuring the distance to the Science Center.

• By checking the total cost for both trips.

• By comparing it to the Art Museum fee.

What is the equation used to find the cost of basketball tickets for the group of six friends?

• 6X + 8.50

• 4X + 6.50

• 6X + 51

• 4X + 26

What is the cost of each basketball ticket for the group of six friends?

• $13.50

• $10.50

• $11.50

• $12.50