Drama Club Ticket Sales and Equations

This video tutorial explains how to solve systems of linear equations using the substitution method. It begins with an introduction to the concept, followed by three examples. The first two examples demonstrate the step-by-step process of solving systems with substitution, while the third example applies the method to a real-life scenario involving ticket sales. The tutorial emphasizes understanding the substitution process and provides clear instructions for isolating variables and solving equations.

What is the first step in solving a system of linear equations using substitution?

• Solve one equation for one variable in terms of the other.

• Add the equations together.

• Multiply both equations by a constant.

• Graph the equations.

In Example 1, what is the value of x after solving the equation?

• x = 2

• x = 0

• x = -4

• x = 4

In Example 1, what is the ordered pair solution for the system of equations?

• (-4, -1)

• (4, 1)

• (1, -4)

• (-1, 4)

In Example 2, what is the first step taken to solve the system of equations?

• Graph the equations.

• Add the equations together.

• Isolate one of the variables.

• Multiply both equations by a constant.

What is the ordered pair solution for the system of equations in Example 2?

• (-1, 2)

• (1, -2)

• (-2, 1)

• (2, -1)

In Example 3, what is the relationship between the adult and student ticket prices?

• Adult ticket is half the price of a student ticket.

• Adult ticket is twice the price of a student ticket.

• Adult ticket is the same price as a student ticket.

• Adult ticket is three times the price of a student ticket.

How many adult tickets were sold in the drama club example?

• 100

• 132

• 64

• 50

What is the price of a student ticket in Example 3?

• $8

• $6

• $4

• $2

What is the total revenue from ticket sales in the drama club example?

• $500

• $1040

• $1500

• $2000

What is the final step in verifying the solution of a system of equations?

• Graph the solution.

• Check the solution by substituting back into the original equations.

• Multiply the solution by a constant.

• Add the solution to another equation.