Solving Systems of Equations in Word Problems

The video tutorial covers solving systems of equations, focusing on word problems. It begins with an introduction to the topic and progresses through practice problems involving sums, differences, and cost calculations. The teacher demonstrates different methods for solving these equations, including elimination and substitution, and encourages students to apply these techniques to various scenarios.

What materials do you need for today's lesson?

• A textbook and a highlighter

• A notebook and a pen

• A piece of scrap paper and a pencil

• A calculator and a ruler

What is the first step in solving the system of equations for the sum and difference of two numbers?

• Graphing the equations

• Eliminating one variable

• Substituting values

• Defining the variables

If the sum of two numbers is 28 and their difference is 4, what are the two numbers?

• 14 and 14

• 20 and 8

• 16 and 12

• 18 and 10

In the word problem involving Rachel and George, what do the variables x and y represent?

• x is the cost of a pear, y is the cost of an apple

• x is the cost of an apple, y is the cost of a pear

• x is the number of apples, y is the number of pears

• x is the total cost, y is the total number of fruits

How much does one pear cost according to the word problem involving Rachel and George?

• $0.75

• $0.65

• $0.35

• $0.50

How much does one apple cost according to the word problem involving Rachel and George?

• $0.55

• $0.25

• $0.45

• $0.35

In the high school play word problem, what do the variables x and y represent?

• x is the total number of tickets, y is the total cost

• x is the number of child tickets, y is the number of adult tickets

• x is the number of adult tickets, y is the number of child tickets

• x is the cost of a child ticket, y is the cost of an adult ticket

How many adult tickets were sold in the high school play word problem?

• 187

• 233

• 420

• 350

How many child tickets were sold in the high school play word problem?

• 350

• 187

• 420

• 233

What should you do if you need help solving question 8?

• Look back at the second example

• Guess the answer

• Skip the question

• Ask a friend