https://youtu.be/1_e8fSzXo3U

The use of algebra tiles to factorize quadratic equations like *x²+4x+ 4=0* is very simple because the coefficient of the *x²* and the *x* and the constant *4* are all positive integers.

What happens when any of these constants/coefficients are negative?

For example *x²+x-6*

The video has answers to that.


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https://youtu.be/fxA6R4GZvBY

The video talks about how to transform linear curves

For example a curve with the equation y = x+ 4
Can be transformed graphically to obtain y=2x+4

The key fall out of linear curve transformation is that

The bigger the gradient the more closer the curve to the origin On the other hand, the smaller the gradient the farther the curve from the origin.


Also the state of the y intercept (+ or -) shall determine whether or not the curve shall fall on the negative x or positive x axis.

Thus, if the y intercept is negative, the curve falls on the positive x axis. The reverse is true.


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Past Questions vs Reading Whole Textbooks: Which is the Smartest Way to Pass Exams with Limited Time?

As the clock ticks closer to the start of exams, students are faced with the dilemma of how to study effectively within a limited timeframe. Two popular options are solving past questions and reading whole topics from textbooks. But which one is the smartest way to pass exams with limited time? Let's weigh the pros and cons.

Solving Past Questions

Pros:
- Provides insight into the exam format and type of questions to expect
- Helps identify areas of strength and weakness
- Saves time by focusing on the most important topics

Cons:
- May not cover all the topics in the syllabus
- Can lead to overconfidence if the same questions are repeated in the exam
- May not provide in-depth understanding of the subject matter

Reading Whole Topics from Textbooks

Pros:
- Provides in-depth understanding of the subject matter
- Covers all the topics in the syllabus
- Helps develop critical thinking and problem-solving skills

Cons:
- Can be time-consuming, especially if the syllabus is extensive
- May not provide insight into the exam format and type of questions to expect
- May not effectively identify areas of strength and weakness

So, which is the smartest way to pass exams with limited time? The answer lies in striking a balance between the two methods. Solving past questions can help students identify the most important topics to focus on, while reading whole topics from textbooks can provide a deeper understanding of the subject matter.

In practice, students can start by solving past questions to identify the key topics to focus on. Once these topics have been identified, they can then read the relevant sections from textbooks to gain a deeper understanding. Additionally, it's important to take breaks, manage time effectively, and practice consistent studying habits.

In conclusion, solving past questions and reading whole topics from textbooks both have their advantages and disadvantages. However, by striking a balance between the two methods and managing time effectively, students can increase their chances of passing exams with limited time.