Throughout this unit, we have learned how algebra can be a method of understanding relationships in ways including linear equations, simultaneous equations, elimination, systems, and so on. All of these parts of algebra connect and relate with each other, for example, simultaneous equations could be solved by elimination, systems could be written through linear equations, etc. Getting on to the big question, we thought of four ways that algebra can help us understand changes in relationships. Firstly, algebra allows us to represent relationships through variables. In general, x and y are used in simple equations, for example, y=x, y=2x. However, as the equation gets complicated, more types of variables are included. Secondly, algebra can be written in equations and inequalities. For instance, y=mx+b, y>x-b, y<mx^2, and following with all other sorts of mathematical expressions. The three equations and inequalities that I wrote represent the relationship between x, y, m, and z (for one time). As an example, the first equation expresses that the y value is the same as the m (slope) multiplied by the x value, and added by the b (y-intercept). Thirdly, algebra can make us understand the relationship through graphing, specifically the rate of change when the value increases or decreases. A linear equation, for example, changes depending on the inserted number of variables. When m increases, the steeper the straight line will be, when b increases the higher the y-intercept will be, and vice versa. Last but not least, algebra is always around us in real-life situations. Some people may think that this is not true, but the world is full of equations. Specifically about the summative task we did, we worked on creating products and considering the product cost, start-up cost, and revenue cost. The product cost (both spending and revenue) represents the x the start-up cost represents the b. Also, the stairs’ steepness could be represented in a graph, where it can be understood that algebraic expressions are right next to us.
Shodai, Jooyong, and Taiga

During this algebra unit, we learned more about income with our Shark Tank project, which was our Floating Christmas Tree. The two main things that affected our income was the cost to make the product, and the price of the product. And, we have represented that through algebra.

• Lily, Hiro, and Daniel. 👍

Algebra is like a tool that helps us understand how things are connected. It uses numbers and letters to show how changing one thing can affect something else. This makes it easier to see patterns and predict what might happen next in different situations.

crystal tamar asuna
Algebra allows us to create formulas that work for all kinds of numbers. Algebra assists us in manipulating and solving equations even when their numbers are unknown.
You can also use this in actual human relationships. If you want to find out how many people they are talking to on snapchat, you can use this formula s-b/t=p
s being their snapscore
b being the snapscore before being left on delivered
and dividing it by the time you've been on delivered for and that will be p which is how many people they are snapping
This helps improve efficiency in relationships and not wasting your time on people that do not uplift you.

Algebra can help us in understanding relationships because of there multiple types of equations that can be used in the situation. We have Inequalities which can be used to find the relationship between the x and something that creates the y or Slope formulas which can help find the x and y as well as the intersection point and such. Yuta, Ovin, Liam

Cassie Laura Elizabeth Janet: Basically, when we get to higher grade, we may need to solve very difficult questions. But algebra can always be the simple way to solve the problem. And in the daily life, if we have any unknown value to something, we can use algebra.