Mathematical Problem Solving Techniques

The video tutorial covers the guess and check method for solving systems of linear equations. It demonstrates the method through various examples, including solving linear equations, a sales problem, a triangle angle problem, and a ticket sales problem. The tutorial emphasizes the importance of making educated guesses and refining them based on previous results. It also includes practice exercises to reinforce the concepts learned.

What is the primary advantage of using the guess and check method?

• It requires no calculations.

• It always provides the exact answer.

• It helps in understanding the problem better.

• It is the fastest method available.

In the example of solving y = 2x - 2 and y = -3x + 13, what was the correct value of x?

• 3

• 4

• 1

• 0

Why did the teacher decide to skip to x = 3 in the linear equations example?

• Because x = 3 is always the correct guess.

• Because x = 2 was already tried.

• Because the difference between y-values was decreasing.

• Because it was a random choice.

In the sales problem, how many items did Jack sell?

• 10

• 16

• 12

• 14

What was the total amount of money Jack and Jill made together?

• $70

• $72

• $80

• $76

In the triangle problem, what was the measure of the obtuse angle?

• 90 degrees

• 50 degrees

• 100 degrees

• 120 degrees

What was the sum of the angles in the isosceles triangle?

• 180 degrees

• 120 degrees

• 90 degrees

• 150 degrees

How many adult tickets were sold in the ticket sales problem?

• 13

• 10

• 11

• 12

What was the total revenue from the ticket sales?

• $119

• $115

• $117

• $121

Which method can also be used to solve the ticket sales problem besides guess and check?

• Only guess and check can be used.

• Graphing and the transitive property.

• Only graphing.

• Only the transitive property.