Ticket Sales and Linear Equations

This video tutorial explains how to solve an application problem using the general form of a linear equation. It begins with a review of the standard form of linear equations and then sets up a problem involving ticket sales. The tutorial defines variables for adult and children's tickets, formulates an equation to represent total sales, and solves for the number of children's tickets sold. The process involves substituting known values and solving a two-step equation.

What is the general form of a linear equation?

• a + b = c

• ax + by = c

• ax^2 + bx + c = 0

• a/b = c

In the given problem, how much does an adult ticket cost?

• $6.50

• $5.50

• $7.00

• $10.00

What variable is used to represent the number of children's tickets?

• X

• Y

• C

• A

What is the total amount collected from ticket sales?

• $500

• $668

• $700

• $550

Which equation represents the total money collected from ticket sales?

• 7c + 5.5a = 668

• 5.5a + 7c = 668

• 7a + 5c = 668

• 7a + 5.5c = 668

If 42 adult tickets were sold, what is the first step to find the number of children's tickets?

• Multiply 42 by 5.5

• Add 42 to the total amount

• Subtract 42 from the total amount

• Substitute 42 for 'a' in the equation

What is the result of 7 multiplied by 42?

• 294

• 300

• 350

• 280

After isolating the C term, what is the next step to solve for C?

• Multiply both sides by 5.5

• Subtract 294 from both sides

• Add 294 to both sides

• Divide both sides by 5.5

How many children's tickets were sold?

• 60

• 50

• 68

• 42

What is the final step in solving the problem?

• Verify the number of adult tickets

• Write the solution as a sentence

• Check the solution with another equation

• Recalculate the total amount