Solving Word Problems with Systems of Equations

The video tutorial covers solving word problems using systems of equations. It begins with an introduction to the topic, explaining the steps involved in solving such problems. The tutorial then discusses graphical and algebraic solutions, followed by three detailed examples: a swimming practice problem, a rectangle perimeter problem, and a ticket purchase problem. Each example demonstrates the use of the substitution method to find solutions, emphasizing the importance of identifying variables, setting up equations, and drawing conclusions.

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

• Write the system of equations

• Identify the variables

• Solve the system of equations

• State the conclusion

What symbol is used to state the conclusion in a word problem?

• Asterisk

• Three dots (∴)

• Colon

• Equal sign

Which method is NOT mentioned as a way to solve a system of equations?

• Elimination method

• Integration method

• Substitution method

• Graphing method

In the swimming practice problem, what does 'a' represent?

• The number of yards Maddie swam

• The number of yards Austin swam

• The difference in yards swam by Austin and Maddie

• The total number of yards swam

How many yards did Austin swim in the swimming practice problem?

• 44 yards

• 21 yards

• 42 yards

• 65 yards

What is the formula for the perimeter of a rectangle?

• Length * Width

• 2 * Length + 2 * Width

• Length + Width

• 4 * Length

In the rectangle problem, if the width is 10 inches, what is the length?

• 40 inches

• 35 inches

• 25 inches

• 30 inches

In the ticket purchase problem, how many tickets were purchased in total?

• 20 tickets

• 25 tickets

• 30 tickets

• 35 tickets

What is the cost of each adult ticket in the ticket purchase problem?

• $8

• $5

• $10

• $12

How many adult tickets were purchased in the ticket purchase problem?

• 15 tickets

• 10 tickets

• 20 tickets

• 5 tickets