MTEL Math Practice Test: 24-27

TL;DR

This video exposes major flaws in a problem solving procedure, highlights incorrect solutions, and provides correct methods for solving equations and patterns.

Transcript

We're on problem 24. Use the solution procedure below to answer the question that follows. Which of the following is a major flaw in the procedure shown above? So let's look for some flaws. So the way I always like to do it is just think about how I would have done it. So if I started with minus 3x plus 25 is equal to 4, the first thing I would do ... Read More

Key Insights

• 🥺 Skipping steps and not properly representing equality can lead to confusion and incorrect solutions in problem solving procedures.
• 🙃 Solving equations requires performing the same operations on both sides of the equation to maintain equality.
• ❓ Patterns can be identified by observing the increments or additions at each step and applying them consistently.

Questions & Answers

Q: What is the flaw in the problem solving procedure shown in the video?

The major flaw in the procedure is that the person skipped steps and did not write a proper equality, leading to confusion and incorrect solutions. Steps such as subtracting constants from both sides and dividing by the correct coefficients were overlooked.

Q: Why is it important to understand the concept of equality in solving equations?

Understanding the concept of equality is crucial in solving equations because both sides of the equation must always be treated equally. Any operation performed on one side should also be performed on the other side to maintain balance and ensure an accurate solution.

Q: How can the number of small squares added at each step be determined in the pattern problem?

To determine the number of small squares added at each step in the pattern problem, observe that when going from n to n+1, we add n+1 squares. Applying this pattern, when going from 99 to 100, we add 100 squares, resulting in there being 100 more squares in figure 100 than in figure 99.

Q: What was the correct solution for the problem involving values of w determined by integers x and y?

By observing the pattern in the table, it was determined that the function w is equal to 8 times x plus 5 times y. For the given values of x=20 and y=8, the value of w is calculated to be 200.

Summary & Key Takeaways

• The video identifies a major flaw in a problem solving procedure, where steps are skipped and confusion arises.

• It demonstrates the correct method of solving equations by performing the same steps properly.

• Additionally, the video solves a pattern problem by observing the pattern and identifying the number of squares added at each step.

• It concludes by determining the correct graph that represents the remainder when dividing whole numbers by 10.